A Guide to Multisector Labor Market Models Gary S. Fields * Cornell University gsf2@cornell.edu Paper Prepared for the World Bank Labor Market Conference, Washington, DC November 18-19, 2004 I. Introduction This is a paper on labor markets. Why are labor markets important to economic development? Many individuals and institutions, including the World Bank and the regional development banks, seek “a world free of poverty.” Broadly speaking, those who are poor are poor because 1) they earn little from the work they do, 2) the societies in which they live are too poor to provide them with substantial goods and services by virtue of their citizenship or residency, and 3) the poor are not permitted to move to richer countries. Thus, anti-poverty efforts can be focused on 1) helping people as workers (defined broadly to include wage employees, informal employees, and the self- employed in all ranges of the skill distribution), 2) helping people as citizens/residents through publicly-provided goods and services, and 3) striving for freer movement of labor from poor to rich countries. This paper is concerned with the first channel: helping improve labor market opportunities for workers. Labor markets deserve a prominent place in anti-poverty efforts. Research studies using decomposition methodologies have shown that labor income inequality is as important or more important than all other income sources combined in explaining total income inequality; see Ayub (1977) for Pakistan, Fields (1979a) for Colombia, Fei, Ranis, and Kuo (1978, 1979) and Fields and Mitchell (1999) for Taiwan, and Shorrocks * I am grateful to Mabel Andalón, Lisa Dragoset, Robert Duval Hernández, and Maria Laura Sánchez Puerta for helpful comments on an earlier draft. 2 (1983) and Karoly and Burtless (1995) for the United States. The reason that labor income is so important is that most poor people in the developing world derive no significant income from sources other than their own labor: in the words of the 1990 World Development Report, “the poor’s most abundant asset [is their] labor.” (World Bank, 1990, p. 3). What drives income inequality, therefore, is that some people earn very large amounts for their labor while a great many earn very little. Thus, it is therefore the inequality of labor incomes that accounts primarily for the inequality of total incomes. Labor income also plays a predominant role in income mobility research. In much of this literature, economic welfare is gauged by household income per capita (PCI) or household consumption per capita (PCC). Research on changing PCI in Indonesia, South Africa, Spain, and Venezuela has shown that household per-capita income changes are determined much more by changes in household income (the numerator) than by changes in number of household members (the denominator) and that changes in labor income far outweigh changes in other sorts of income (Fields et al., 2003). This paper approaches labor markets through multisector modeling. Multisector labor market models start with the recognition that in many countries, the labor market consists of quite distinct segments that are linked with one another. Writing as one who has worked with multisector labor market models for many years (e.g., Fields 1972, 1975, 1979b, 1989, 1997, forthcoming), I owe much of my intellectual heritage to the early dual labor market adherents and modelers (Roy, 1951; Lewis, 1954; Fei and Ranis, 1964; Harris and Todaro, 1970; Doeringer and Piore, 1971; Stiglitz, 1971, 1982) as well as to more recent analysts (Bourguignon, 1990; Banerjee and Newman, 1993; Basu, 1997; Stiglitz, 1999). Multisector models explain phenomena such as these: why an increase in productivity might cause wages to fall; why an economic boom in one economic sector might produce rising wages in all sectors; why firms might be able to add workers at will without having to raise wages; why urban employment creation may result in more urban 3 unemployment; and why the solution to urban unemployment might be rural development. These phenomena simply do not make sense in a single market setting. To develop a framework/typology and lay out the main issues on multisector labor market modeling, the paper proceeds in four stages. The first main substantive section (Section II) presents the essence of labor market dualism. I maintain that labor markets often consist of quite distinct segments and that a useful and insightful analytical approach is to start with just two. The second main substantive section is on models of wages and employment in the formal economy. To be reviewed here are 1) the market-clearing labor market model and the presumed equilibrating forces, 2) above-market-clearing wages set institutionally, 3) above-market-clearing wages set by efficiency wage considerations, and 4) above- market-clearing wages set by worker behavior. The third main substantive section is on wages and employment in the informal economy. This section presents three characterizations of informal sector labor markets: 1) the informal economy as a free-entry sector that prospective workers enter only as a last resort, 2) the informal economy as a desirable sector that workers choose in preference to formal sector work, and 3) the informal economy with its own internal dualism, combining 1) and 2). The fourth main substantive section is on intersectoral linkages. The models here are: 1) the integrated labor market model with full market clearing, 2) crowding models, and 3) the Harris-Todaro model. While the models presented here differ from one another in important respects, they all share certain common features of which the reader should be aware from the outset. First, firms in these models are assumed to be maximizing profits. This means that they hire workers, raise wages, and improve worker quality if and only if it is in their profit-maximizing interest to do so. Second, workers in these models are assumed to be maximizing utility. Especially in poor countries, in which large numbers of people value 4 additional goods greatly compared to leisure, the utility-maximization assumption may often be fruitfully replaced by an income-maximization assumption. Third, the notion of “market equilibrium” used in this paper needs to be clarified. “Market equilibrium” is a state toward which a market tends and, once there, it tends to stay. “Market-clearing” is a state in which the quantity of a good or service supplied equals the quantity demanded. Some of the equilibria we shall deal with in this paper are market-clearing and others are not. And finally, I concentrate on positive analysis in this paper and offer very little normative analysis. Much of what happens in labor markets is not pretty. My objective here is to make labor market outcomes understandable. II. The Essence of Labor Market Dualism At the core of dualistic labor market models is the distinction between a sector that is alternatively called “formal,” “modern,” “industrial,” or “urban” and another that is alternatively called “informal,” “traditional,” “agricultural,” or “rural.” (At one point, I even called this latter one the “murky” sector.) Throughout this paper, I shall use the formal/informal terminology. In my view, labor market dualism is a useful stylization of what has been called “labor market segmentation” or “labor market fragmentation.” Why have just two sectors? Basu (1997, pp. 151-2) put it well: The dual economy model of LDCs has had its demurrers. It has been pointed out that labor markets are often fragmented into more than two parts and also that dualism is not the distinguishing feature of underdevelopment because there are traits of it even in developed economies. These are not disturbing criticisms. It is unlikely that any of the initiators of the dual economy model would deny that the labor market may in reality be fragmented into more than two sectors. The assumption of duality is merely for analytical convenience. If fragmentation – irrespective of the number of parts – in itself causes some problems and we wish to examine these, then the simplest assumption to make is that of dualism. 5 Along similar lines, Dixit (1973) wrote earlier: The dual economy has, over the last decade, proved itself to be a useful conceptual framework for analyzing several problems of economic development. . . Dual economy models provide a significantly better description and understanding of the problems of development than any aggregate model, not because two sectors are better than one . . . but because the sectoral division chosen reflects several vital social and economic distinctions in the type of economy being analyzed. Unfortunately, international practice has been quite ambiguous about the feature distinguishing the two sectors. The International Labour Organisation and the Economic Commission for Latin America and the Caribbean have defined the informal sector as the sum of non-professional self-employed, domestic workers, unpaid workers, and workers in enterprises employing five or fewer workers. In Brazil, the formal sector consists of workers who hold labor cards entitling them to various benefits and protections and the informal sector of those who do not. In other contexts, the formal sector is distinguished according to whether the firm is registered with the government and pays taxes. Yet others equate the informal economy with drugs, prostitution, and other illegal activities. For alternative definitions and operationalizations, see ILO (2002) and Jhabvala, Sudarshan, and Unni (2003). The distinguishing feature that I find most appealing is that associated with the Nobel laureates Arthur Lewis (1954) and Simon Kuznets (1955) as well as other dual economy modelers. Lewis, in typical fashion, presented the difference between formal and informal employment in picturesque terms (p. 147): What we have is not one island of expanding capitalist employment, surrounded by a vast sea of subsistence workers, but rather a number of such tiny islands . . . We find a few industries highly capitalized, such as mining or electric power, side by side with the most primitive techniques; a few high class shops, surrounded by masses of old style traders; a few highly capitalized plantations, surrounded by a sea of peasants. But we find the same contrasts also outside their economic life . . . There is the same contrast even between people; between the few highly westernized, trousered, natives, educated in western universities, speaking western 6 languages, and glorying Beethoven, Mill, Marx, or Einstein, and the great mass of their countrymen who live in quite other worlds. For Lewis, the essence of dualism is the fact that workers earn different wages depending on the sector of the economy in which they are able to find work. Lewis wrote (p. 150): “Earnings in the subsistence sector set a floor to wages in the capitalist sector, but in practice wages have to be higher than this, and there is usually a gap of 30 per cent or more between capitalist wages and subsistence earnings.” Lewis explained that although part of the gap is “illusory” because of the higher cost of living in the capitalist sector, there remained a real wage gap due to a) the “psychological cost of transferring from the easy going way of life of the subsistence sector to the more regimented and urbanized environment of the capitalist sector,” b) the payoff to experience in the capitalist sector, and c) “workers in the capitalist sector acquiring tastes and a social prestige which have conventionally to be recognized by higher real wages.” Kuznets (1955) further developed the model of wage dualism and intersectoral shifts by exploring how various measures of income inequality would change as the high- income sector comes to employ an increasing share of the population. All of the inequality measures used by Kuznets exhibited an inverted-U pattern, which later came to be known as the “Kuznets Curve.” Subsequent research examined inequality (Knight, 1976; Robinson, 1976; Fields, 1979a; Anand and Kanbur, 1993) and poverty (Fields, 1979a ; Anand and Kanbur, 1985) in the Lewis-Kuznets process of intersectoral shifts. More recent writings on labor market dualism are grounded in human capital theory as developed by Schultz (1961, 1962), Becker (1962, 1964), and Mincer (1962, 1974). The more modern labor market dualism literature stressed that for dualism to exist, different wages must be paid in different sectors to comparable workers. Many researchers have reported evidence of such dualism or segmentation; for one early compilation of evidence, see Fields (1980a). Lewis and Kuznets should not be faulted for 7 neglecting the human capital issue, because human capital theory had not yet been devised when they developed their dualistic development models. The idea that different wages are paid to comparable workers has been incorporated, largely without question, into job search theory, which also did not exist in Lewis’s and Kuznets’s time. Since the late 1960’s and early 1970’s, a whole class of models has arisen in which a wide variety of wages exist in the labor market, and workers are presumed to search among employers for the best possible opportunities. See, for instance, the textbook treatments of job search in Ehrenberg and Smith (2003) and Cahuc and Zylberberg (2004) and also the work on equilibrium wage distributions by Stiglitz (1985) and Burdett and Mortensen (1998). Dualistic labor market models have been criticized on a number of grounds. A particularly harsh critic is Rosenzweig (1988). Rosenzweig accepted that empirical studies often show that workers with given measured human capital characteristics have systematically different wages or earnings depending on the type of employment in which they are working. He questioned not the fact but the interpretation. In his words (p. 756): “Do [these differentials] suggest barriers to mobility – non-competing groups – or do they merely reflect compensatory differentials, rewards for unmeasured skills or compensation for unmeasured differences in the disutility of the workplace?” Rosenzweig favored the latter set of explanations, and therefore found the dualistic labor market literature unconvincing. He wrote (p. 757): “It is the lack of a precise behavioral interpretation of the results that is the principal shortcoming of the dualistic labor market empirical studies.” I would offer the following behavioral interpretation which Rosenzweig says is lacking. Consistent with job search theory described above, suppose that there is luck in the labor market, pure and simple. Both Rosenzweig and I were hired at Yale as junior faculty members within a year of one another. I truly believe that if we had not been hired at Yale, we would have had a less favorable professional environment and less time for 8 research, and so would not have left Yale for tenured positions at Cornell (Fields) and Minnesota (Rosenzweig). We therefore would have experienced much less career success than we did. The fact that there were job vacancies at Yale when we entered the labor market produced a better outcome throughout our careers than we ourselves with our own unmeasured skills would have received had those vacancies not existed. Putting it differently, I think labor markets are better characterized as being segmented in the sense of cumulative advantage and low-level traps (Nelson, 1966; Merton, 1968; Doeringer and Piore, 1971; Boudon, 1973; Meade, 1976) than as being unified in the sense that the next- best employer is essentially indistinguishable from the current one. Dualistic labor market models, and segmented labor market models more generally, have been criticized on other grounds as well. A recent Inter-American Development Bank report (IADB, 2003) put it thus: “According to [the dualistic view of the labor market], the formal and informal economies operated in segmented labor markets and there is limited mobility between the two. Nothing could be further from the truth . . . In a given six-month period, about 16 percent of workers in Mexico and 11 percent of workers in Argentina move either in or out of an informal job.” Nonetheless, the fact is that most workers remain in the sector in which they began. Economic mobility is a very important phenomenon, and indeed I am devoting the bulk of my current research precisely to this issue, but I do so within the context of dualistic labor markets. To conclude this section, in most settings, I find that it is far more useful to think of developing countries’ labor markets as being fragmented or segmented than to think of all workers and firms in a country participating in one single labor market. When possible, Occam’s Razor suggests limiting the analysis to two sectors. In my view, labor market dualism was a most useful starting point for analyzing some economies when it was first presented decades ago, and it remains a useful characterization of some 9 economies today. But when two sectors are simply not enough, three-sector or n-sector models can prove insightful, a point to be developed further in the sequel. We turn now to the formal sector labor market, the informal sector labor market, and the interactions between them. III. The Formal Sector Labor Market In this section, I present four alternative models of wages and employment in the formal economy: the market-clearing labor market model, models with wages set above market-clearing levels for institutional reasons, models with wages set above market- clearing levels for efficiency wage reasons, and models with wages set above market- clearing levels because of supply-side considerations. A. The Market-Clearing Labor Market Model The market-clearing labor market model is so well-known that it can be presented quite concisely. Figure 1 displays the three essential features. First, the amount of labor demanded is taken as a decreasing function of the wage, other things equal. The market labor demand curve slopes downward because of diminishing marginal revenue product of labor and the associated substitution and scale effects of a wage change. Second, the amount of labor supplied is taken as an increasing function of the wage, other things equal. The market labor supply curve slopes upward because a higher wage induces workers to enter this labor market from other labor markets and induces non-workers to enter the labor force. And third, the wage is set by supply and demand in order to clear the market. According to the market-clearing model, three equilibrating forces operate: behavior of firms, behavior of workers, and behavior of wages. In the model, firms are free to hire workers or not depending on what is in their profit-maximizing interest to do. If market conditions change, what is in their profit-maximizing interest to do will change 10 accordingly, and firms are free to act on these changes. Similarly, workers are free to supply their labor in any given labor market or not depending on what is in their utility- maximizing interest to do. For them too, if market conditions change, what is in their utility-maximizing interest to do will change accordingly, and they (workers) are free to act on these changes. And finally, if supply and/or demand conditions change, real wages are free to rise or fall accordingly. (In this paper, wages should always be thought of in real terms.) As elementary and familiar as this model is, I am often surprised by analysts’ failure to use it. Note well what this model says. The wage is determined by what the last employer is willing to pay in order to attract and employ a worker and by what the last worker requires in order to be attracted and employed. One common misperception is that the wage “should” vary with labor productivity, commonly measured as value added per worker. Nothing could be further from the truth. Suppose that half the formal sector workers are replaced by machines, keeping total output constant. “Productivity” approximately doubles (“approximately,” because it depends on the cost of the additional machines compared to the cost of the dismissed workers), but in the basic labor market models wages will not double. In fact, to the extent that wages change at all, they are likely to fall, because the total demand for labor is less after the productivity improvement than it was before. Let us now consider three groups of models with different causal structures and different market outcomes. B. Above-Market-Clearing Wages Set Institutionally An important class of models in the labor market literature holds that wages in the formal sector are set by a set of forces different from supply and demand. In the models I review in this section, the defining feature is heavy reliance on “institutional” forces. 11 (“Institutional” forces are those other than the profit-maximizing behavior of firms and the utility-maximizing behavior of workers.) I have found it useful to distinguish five institutional features that may be important in different settings (e.g., Fields and Wan, 1989; Fields, 1999). They are: minimum wages; trade unions; public sector pay policies; multinational corporations; and labor codes. More specifically: Minimum wages aim to assure workers an "adequate" standard of living. Minimum wages have long been on the books throughout most of the developing world (Starr, 1981; World Bank, 1995; Inter-American Development Bank, 2003), but their effects differ. In some countries, such as Bangladesh, Côte d’Ivoire, and India, minimum wages are binding and enforced (World Bank, 1995, p. 75). But in others, minimum wage laws make little difference. South Korea introduced a minimum wage system only in 1988, and the minimum wage levels have been set so that they prove to be a binding constraint for only about 2% of Korean workers (Park, 1991; Lee, 2002). In the case of Taiwan, although a minimum wage law has been in force for decades, no company has ever been fined for violating the law (Chang, 1989). Trade unions are often encouraged by government policy as a means of entitling workers to a "just" share of the fruits of their labor. One early theory of trade union behavior is that unions have a variety of objectives, including both higher wages and greater union membership (Dunlop, 1944). More recent approaches have stressed that those already employed in unions (the “insiders”) may be more concerned about raising their wages than about increasing membership (Blanchard and Summers, 1986; Lindbeck and Snower, 1988). Indeed, unions have raised the wages of their members by as much as 150% in Jamaica, 31% in Ghana, 24% in South Africa, and 20% in Malaysia (Tidrick, 1975; World Bank, 1995, Table 12.2; Aidt and Tzannatos, 2002). By contrast, in South Korea and Taiwan, unions have been repressed and the union wage premium is at most two to three percent. (Lin, 1989; Park, 1991; Yoo, 1995). 12 Public sector pay policies often result in substantially higher wages being paid to government workers than to their private sector counterparts. Costa Rica is an example of this, and as a result, "everybody" tries to work for the government (Gindling, 1991). In East Asia, the public sector pays what it has to in order to compete with the private sector -- neither more nor less. Multinational corporations frequently pay above-market wages in sub-Saharan Africa and elsewhere (Berg, 1969; Squire, 1981). Wage levels and working conditions tend to be higher in export-oriented firms than in firms producing for the domestic market (ILO, 1998; Moran, 2002; Ghose, 2003). Although export-oriented multinationals offer higher wages and better working conditions partly for efficiency wage reasons (see subsection C below), they also do this because some governments have "encouraged" them to do so by not so subtly threatening expulsion or expropriation if they do not (Eaton and Gersovitz, 1984). Finally, labor codes in some countries regulate hiring and firing, impose payroll taxes on firms, and mandate that employers provide certain benefits to their workers. Panama had such a labor code, and it was estimated to have raised labor costs by 90% (Spinanger, 1985) before it was finally abandoned as unsustainable. Likewise, Bolivian employment legislation raises labor costs by an estimated 90-110% (Bravo, 1995). Larger firms in India and Zimbabwe may not dismiss workers; employment levels have been found to be artificially high, and economic efficiency artificially low, as a result (Fallon and Lucas, 1991, 1993). Higher-than-market-clearing wages for institutional reasons in the formal sector are at the core of many economic models. They include the Keynesian macroeconomic model, Lewis’s classical development model, Harris and Todaro’s dualistic labor market model, and many others. Virtually without exception, economic models regard formal sector employment as being determined in a very neoclassical way: given the wage and the capital stock, employment is set according to the marginal revenue product of labor. 13 Ample research has shown that labor demand elasticities are significantly negative; Hamermesh (1993) provides a comprehensive review of the empirical literature. In South Africa, for example, various researchers have produced estimates of the wage elasticity of employment in that country’s formal sector (Bowles and Heintz, 1996; Fields, Leibbrandt, and Wakeford, 2000). Most estimates range from -0.5 to -0.7. While these studies differ in terms of their precise estimates, what they agree on is that 1) the wage elasticity of employment is significantly greater than zero and 2) the wage elasticity of employment is significantly less than one. Given labor demand elasticities of such magnitudes, higher-than-market-clearing wages therefore would be expected to reduce formal sector employment in equilibrium. Unemployment will result in the economy unless all of the workers not employed in the formal sector take up employment in the informal sector. Whether they do or not is the subject of Section IV. Given these research findings, the five labor market interventions reviewed above need to be considered carefully. Their aims are laudatory - to raise earnings and reduce poverty - and they do indeed benefit the workers who are fortunate enough to work in covered sectors of the economy. However, they appear to have had adverse employment and efficiency effects and to have contributed to the informalization of the economy, as employers evade the regulations by not engaging workers as regular employees or by not even appearing as official companies (DeSoto, 1989; Turnham, 1993; Maloney, 2003). Helping formal sector workers may or may not be the best tool for fighting poverty in any given context. C. Above-Market-Clearing Wages Set by Efficiency Wage Considerations An old and well-established idea that commands nearly universal agreement not only in economics but in human resource management is that a firm can raise its labor productivity by paying a higher wage. Credit is usually given to Leibenstein (1957) for 14 originating this idea in the economics literature. See also Stiglitz (1974, 1976), Bliss and Stern (1978), Akerlof and Yellen (1986), Dasgupta and Ray (1986), and Weiss (1990) for further developments. But it goes back much further than that to Henry Ford, who pioneered the radical practice a century ago of offering his workers $5 a day, which was twice the going wage at that time (Raff and Summers, 1987). Efficiency wage theory incorporates the proposition that higher wages can result in higher productivity but goes beyond it in a fundamentally important way. According to the core microeconomic model of firms, firms are trying to achieve higher profits, which may or may not be enhanced by higher productivity. Thus, the basic postulate of efficiency wage theory is that profit-maximizing firms will pay higher-than-market- clearing wages if and only if the gains in productivity from doing so outweigh the costs, so that profits are increased. In other words, it is not enough simply to maintain that paying a higher wage generates benefits. It must be that the benefits exceed the costs. Much that is written about “high road” labor relations practices ignores this fundamental truth; see, for example, Ulrich (1997) and Noe et al. (2000). Efficiency wage theory has also contributed usefully to analyzing the mechanisms by which productivity gains are realized. These fall into two major categories. One set of explanations is that higher wages enable firms to hire better-quality workers from a heterogeneous labor pool. They may, for example, hire workers who have more education and who for this reason are expected to be more productive. Alternatively, they may administer tests of potential job performance and hire those workers who perform the best on these tests. The other set of explanations is that higher wages induce workers of a given skill level to perform in a more productive manner. The mechanisms analyzed here include better nutrition, improved morale, reduced shirking, lower labor turnover, reduced absenteeism, and greater discretionary effort. 15 Where the efficiency wage models come out, then, is that wages remain above the market-clearing level because firms in the labor market find it in their profit-maximizing interest to keep wages above the market-clearing level. Put differently, a firm that is paying efficiency wages would hurt its profits if it lowered wages. As in the models reviewed in the last subsection, when wages are higher-than- market-clearing for efficiency wage reasons, we also have unemployment as an equilibrium outcome. However, the unemployment that arises here occurs for a very different reason from the institutional wage case. In the efficiency wage models, it is firms that do not want to reduce wages, even though at least some of the unemployed would be willing to work for lower wages rather than remain jobless. This contrasts with the institutional wage case, in which it is employed workers who want the wage to remain where it is. D. Above-Market-Clearing Wages Set on the Supply Side Another explanation for wages remaining above the market-clearing level has been suggested and modeled by Bardhan and Rudra (1981), Drèze and Mukherjee (1989), Solow (1990), and Osmani (1991). Suppose that wages in a labor market are above the market-clearing level for some reason – for example, because the wage was set in the peak season and the economy is now in the slack season. According to the standard account of equilibrating forces in labor markets, unemployed workers would offer to work for lower wages rather than remain unemployed. However, if the labor market is a casual one in which hiring takes place afresh each day, the unemployed may behave differently. In the case where the demand for labor is inelastic, each of the unemployed knows that he or she will earn more on average over the course of many days if s/he does not undercut the established wage. Here, unlike the models in the earlier subsections, wages are kept above the market-clearing level by the behavior of the unemployed. In this 16 way, the wage remains above the market-clearing level, and unemployment persists as a result. E. Conclusions on Modeling the Formal Sector Labor Market In this section, I have discussed four models of formal sector labor markets. The one with which we are most familiar is the full market-clearing model with adjustments in labor demand, labor supply, and wage-setting free to take place. The market-clearing model makes many institutional assumptions, most importantly, that all of the standard equilibrating forces are free to operate. Three alternative models were then presented in which wages do not adjust. In the first of these models, wage rigidity arises from a variety of institutional forces that may include minimum wages, trade unions, government pay policy, pay policies of multinationals, and labor codes. Firms would like to pay lower wages, and presumably would employ more labor if they could lower wages, but they cannot legally do so. Employment is lower in the presence of wage rigidity than it would be in its absence. The second alternative model is one of efficiency wages. The essence of this model is that when a firm pays higher wages, it will either attract a better caliber of worker and/or it will induce existing workers to work more productively. In this model, some firms choose to pay higher wages, because the benefits to profits of doing so outweigh the costs. When efficiency wages are paid, the workers not in the high wage sector would like to be, but firms would not find it in their profit-maximizing interest to lower the wage in order to employ them. In the equilibrium that results, those not formally employed end up openly unemployed (i.e., with no work at all) and/or underemployed (i.e., working, but in jobs that pay lower wages than they themselves could earn were they formally employed). Finally, there is a model in which wages are free to fall but workers do not bid wages down. This is because workers figure that they will come out ahead over the long 17 run if, when the demand for labor is inelastic, wages are kept high. Even when zero wages during periods of unemployment are factored in, the average wage over a longer period is higher if wages are kept high and not bid down. We turn now to models of the informal sector labor market. IV. The Informal Sector Labor Market The crucial feature of labor market dualism described above is that the formal sector offers relatively attractive terms and conditions of employment while the informal sector offers relatively unattractive ones. This leads to the first characterization of the informal economy: workers prefer formal sector jobs and enter the informal sector only as a last resort. More recently, though, a different view has been put forth: that the informal economy is a desirable sector that workers choose in preference to formal sector work. A third view is that the informal economy has its own internal dualism, combining these two characterizations. A current resource on the informal economy is the ILO’s Informal Economy Resource Database, available at http://www.ilo.org/dyn/dwresources/iebrowse.home?p_lang=en . A. The Informal Economy as a Free-Entry Sector of Last Resort Ample empirical research has shown that labor earnings in the informal sector are low, lower even than in the formal sector in a large number of countries. For example, Sudarshan and Unni (2003) see informal work as “a survival activity of the very poor,” noting that the dimensions of informal activity are large: 35-85 percent of non- agricultural employment in Asia, 40-97 percent in Africa, and 30-75 percent in the Latin America-Caribbean region. Fields (1980a) offers a review of some of the early evidence on wages in different employment sectors, noting with Turnham (1971) and Squire (1981) that open unemployment is the tip of the proverbial iceberg: the greater part of the employment problem in developing countries consists of workers who earn so little when 18 they work that they and their families are poor. These are the “working poor,” and they are found disproportionately in the informal sector. In the cities of developing countries, we see large numbers of people engaged in work that earns them some cash each day or week. These include hoards of shoe shiners clustered in the town square, lottery ticket vendors seemingly every few feet, would-be construction workers clustered at a particular street corner awaiting the daily round-up, newspaper sellers approaching stopped cars at virtually every traffic light, and (sadly) groups of women, and sometimes men and children, gathered in the red light district. Lewis (1954, p. 141) referred to “the whole range of casual jobs – the workers on the docks, the young men who rush forward asking to carry your bag as you appear, the jobbing gardener, and the like. These occupations usually have a multiple of the number they need, each of them earning very small sums from occasional employment; frequently their number could be halved without reducing output in this sector.” (Emphasis added) Subsequent investigations into these people’s lives as well as casual empiricism led analysts to view these types of jobs as having free entry. In a pathbreaking ILO report on Kenya (1972, p. 6), the criteria defining the informal sector were: i) ease of entry; ii) reliance on indigenous resources; iii) family ownership of enterprises; iv) small scale of operation; v) labour-intensive and adapted technology; vi) skills acquired outside the formal school system; and vii) unregulated and competitive markets. The essence of free entry is that all who want a job can get one. (“Job” here is defined to include both self-employment and wage employment.) Barriers to entry into 19 such occupations are small or non-existent. In some contexts, primarily urban, all that would-be workers need to do is make a minimal investment in the product or service to be sold. In rural contexts, it is obligatory for the family or community to take back into the home those who find such work the best of a bad set of alternatives. One is reminded of Robert Frost’s immortal words in his poem “Death of the Hired Man”: “Home is the place where, when you have to go there, they have to take you in.” The existence of free-entry employment opportunities in the informal sector helps explain why open unemployment rates in developing countries are comparable to those in developed countries, and often considerably lower (Turnham, 1971, 1993; World Bank, 1995; ILO, 2003). The standard ILO definition of unemployment is a person who did no work for pay in the preceding week, not even for one hour. In poor countries lacking systems of unemployment insurance and cash assistance allowances, the great majority of poor people cannot afford to be without income for as long as a week. So to the extent that the poor can quickly find an opportunity to earn some cash in an informal job, they take it. Open unemployment in their economies is low as a result. Because of easy entry into economic activities of such kinds, a different wage determination process from the standard marginal productivity rule must be found. Income-sharing is a prominent feature of Lewis’s model and many subsequent ones (e.g., Fei and Ranis, 1964; Harberger, 1971; Fields, 1975). As modeled by Lewis, in the informal sector, the marginal product of labor is zero or low – in any event, below the average product of labor. In his words (p. 142): Most businesses in underdeveloped countries employ a large number of ‘messengers’, whose contribution is almost negligible; you see them sitting outside office doors, or hanging around in the courtyard. And even in the severest slump the agricultural or commercial employer is expected to keep his labour force somehow or other – it would be immoral to turn them out, for how would they eat, in countries where the only form of unemployment assistance is the charity of relatives? So it comes about that even in the sectors where people are working for wages, and above all the domestic sector, marginal productivity may be negligible or even zero. 20 One of the major criticisms of the Lewis model had to do with these features of labor surplus and income-sharing. Lewis (1972) later wrote, “Whether marginal productivity is zero or negligible is not at the core of fundamental importance to our analysis . . . This has led to an irrelevant and intemperate controversy.” Ranis (forthcoming) now labels as “unfortunate” the choice of the “labor surplus” term and dismisses this critique as a “red herring.” What matters, writes Ranis, is “that the marginal product is low, and sufficiently low to fall below the bargaining wage or income share.” How, then, would we want to model informal sector wage determination today? Essentially, there are four tacks that might be taken, the first two for analytical simplicity and the second two for greater comprehensiveness. One is to assume that there is a fixed amount of income to be earned in the informal sector regardless of the number of people working in that sector - that is, the marginal product of labor is literally zero. For example, there may be a fixed number of newspapers to be sold regardless of the number of newspaper vendors. How is the fixed income from newspaper vending to be divided? The easiest simplifying assumption here is full income-sharing among the informally employed, so that each earns the average product. The average product is not constant, though – it varies inversely with the number of people in the informal sector. This was the way that I modeled the urban informal wage in Fields (1975, 1989). A second approach is to regard a part of the informal sector as facing, instead of zero marginal product, constant marginal product. The dual economy model developed by Harris and Todaro (1970) was formulated to fit the East African case, which they and others regarded as a land surplus economy at the time. Harris and Todaro assumed that anyone who wanted to work in agriculture could find a plot of land, cultivate it, and earn the marginal product from his or her efforts. Agricultural wages were equated to marginal product, not average product as in Lewis. If we can assume that the marginal worker and 21 the marginal land are as productive as preceding ones, a convenient simplifying assumption would be to regard the marginal product of labor in agriculture as constant. This was the way that the agricultural was first modeled in Fields (1975). Many others subsequently adopted this assumption in what has come to be called the simplified Harris-Todaro model (Fields, 1975; Anand and Joshi, 1979; Heady, 1981; Stiglitz, 1982; Sah and Stiglitz, 1985; Bell, 1991). A third approach is intermediate between the first two: a positive but diminishing marginal product. Harberger (1971) put it thus: [This] variant associates disguised unemployment not just with low wages but with situations in which the marginal productivity of labour lies below the actual wages earned. . . There are a variety of activities to which this argument applies. A classic example is that of fishermen on a lake. The addition of more fishermen increases the total catch, but not proportionately, yet the last fisherman has an equal chance of making a given catch as the first. The expected catch is the same for all, and is equal to their average productivity. But, owing to the fact that the total catch does not increase in proportion to the number of fishermen, the marginal productivity of a fisherman is less than what he earns. Models with positive but variable marginal product are harder to work with than either of the two preceding ones. A fourth approach is to model a full demand system for agricultural and non- agricultural products and workers. This was done by Bourguignon (1990). The equations of such systems are so complicated that they are best left to microsimulation and computable general equilibrium exercises. To conclude, the most common characterization of the informal sector is that it is an easy-entry sector that workers can enter to earn some cash in preference to earning nothing. An alternative view has been gaining popularity in recent years. Let us now turn to it. 22 B. The Informal Economy as a Desirable Sector A very different view of the informal sector also appears in the literature. It is the idea that a large number of those working in the informal sector are there voluntarily. This view has a long history in the literature (e.g., Hart, 1973; Balán, Browning, and Jelin, 1973). In fact, in 1990, I wrote this (Fields, 1990, p. 66): Many people are in informal activities by choice. When asked their reasons for doing what they were doing, many informal workers in Costa Rica gave the following answers most frequently: i) They feel they could make more money at the informal sector job they were doing than they could earn in the formal sector, or ii) Even though they made a little less money, they enjoyed their work more, because it allowed them to choose their own hours, to work in the open air, to talk to friends, etc. The choice approach to the informal sector has been developed more recently in a series of papers by William Maloney. A comprehensive summary of these arguments appears in Maloney (2003). As all labor economists know, workers choose among jobs and sectors on the basis of a package of characteristics. These include wages, benefits, the work environment, and so on. The variable denoted W on the vertical axis of a standard labor market diagram is ordinarily thought of as a shorthand for this package of benefits. And it is this package of characteristics which Maloney maintains are “roughly comparable” between informal self-employment and formal employment, at least in Mexico. Specifically, Maloney offers a number of reasons why workers might want to be in the informal sector: some can earn more (or at least hope to earn more) in informal self- employment than they could earn in formal sector employment; they value the independence of self-employment; they would rather use the money that protections cost them for investing in their own small enterprises; they do not value protections such as health insurance which formal employment offers to them, in some cases because they already have these protections; and they don’t trust the government to deliver on promises such as future pension benefits. For any or all of these reasons, there may be a 23 sizeable numbers of workers who prefer informal self-employment to formal wage employment. One reason that self-employment is often seen as undesirable is that microenterprises exhibit very high rates of failure. Maloney responds to the precariousness argument thus (p. 77): Small firms will have higher costs, are likely to be informal, and will have very high failure rates. Though this corresponds exactly to the standard picture of the stagnant, precarious, unproductive, unprotected informal worker familiar in the literature, it is, in fact, the opposite. It emerges naturally from the workers trying their luck at entrepreneurship (risk- taking), often failing, and not engaging in the formal institutions until they grow. In sum, there may be nothing pathological about informal self- employment, and to recover the general sense of the word, nothing obviously less decent either. I agree with Maloney on this point, but I think he goes too far in one respect. He presents an integrated labor market model (pp. 68, 72) in which the total package of benefits is equalized between informal self-employment and formal wage employment. While this model might fit the choice between formal sector employment and informal self-employment for those who already have the option of working in the formal sector, this is a limited group of people. Rather, as I argued above, throughout the developing world, formal sector jobs appear to be far fewer in number than the number of people who want them. Thus, in my view, Maloney’s characterization applies to a subset of informal sector workers, but by no means all of them, nor probably even most. In the end, Maloney sides with a view that I put forth in 1990: that the informal sector is itself heterogeneous. Let us now turn to that view. C. The Informal Economy with Its Own Internal Dualism Subsections A and B have put forward two polar views. One is that informal sector employment is worse than formal sector employment but superior to 24 unemployment. The other is that employment in the informal economy is preferred to formal sector employment. A way of combining these two polar views would be to regard the informal sector as having its own internal duality. On this synthesized approach, some informal activities are preferable to formal sector jobs and some are not. In fact, this is a view that I developed at length in Fields (1990), where I labeled the two segments “upper-tier” informal activities and “easy entry” ones. See also House (1984), Tokman (1987), Marcouiller et al. (1997), and Ranis and Stewart (1999). In fact, dualism within the informal sector is a view that Maloney has come to share. Summarizing the findings of Cunningham and Maloney (2001) for Mexico, Maloney writes (2003, p. 80): “The single distribution was rejected, supporting a two-tier view, but the share of the population found in the ‘lower’ tier was only 13 percent of the sample.” Perhaps most informal entrepreneurs are in the upper-tier in Mexico, but I doubt this is the case in India, Bolivia, or Kenya. Another way of modeling the duality of the informal sector is to specify two informal sectors that are geographically distinct. Todaro (1969) had three employment sectors – urban modern employment, urban traditional employment, and agricultural employment – but no unemployment. Harris and Todaro (1970) had urban modern employment, agricultural employment, and unemployment but no urban informal sector. In Fields (1975), I had three employment states – urban modern employment, an urban murky sector, and rural agricultural employment – plus unemployment. If the preceding sector distinctions are put together, we would have four employment states - employment in the formal sector, the upper-tier informal sector, the easy-entry sector, and rural agriculture – plus unemployment. Adding in rural off-farm employment – what is sometimes called the z-goods sector (Hymer and Resnick, 1969; Ranis and Stewart, 1993) – would introduce a fifth employment state. As far as I know, no analytical model has included all five employment states plus unemployment. I don’t 25 know why others haven’t built such models, but I do know why I haven’t: I find such models too complicated and intractable. Although six-state models have not been constructed, the literature offers a number of four-state models (consisting of three employment sectors plus unemployment). How the different states link to one another is open to alternative specifications. These are discussed in Section V. D. Conclusions on Modeling the Informal Sector Labor Market Informal sector labor markets can be modeled in several alternative ways. One is as a free-entry sector, to which workers go when there is no other way to earn some cash. A second model of the informal sector is that it is a desirable sector, to which workers aspire. A third model combines the first two and allows for duality within the informal sector, which then consists both of an easy-entry component and an upper-tier component. We turn now to links between formal and informal sector labor markets. V. Intersectoral Linkages in the Labor Market This section is on intersectoral linkages. The models reviewed here are: 1) the integrated labor market model with full market clearing, 2) multisector models with no unemployment, and 3) the Harris-Todaro model, both in its original form and as extended. A. The Integrated Labor Market Model with Wage Equalization and No Unemployment The integrated labor market model, also called the unified labor market model, has as its distinguishing features that 1) each labor market clears, and 2) full intermarket 26 equilibrium is achieved through actual wage equalization. The model is explained with the aid of Figure 2. Suppose for ease of analysis that the economy has two sectors, here termed "manufacturing" and "agriculture." All workers are identical, and so would be willing to work wherever the wage is higher, be it in manufacturing or in agriculture. The labor market is assumed to be an integrated one in the sense that the same wage prevails in both sectors of the economy for a given type of worker -- a realistic enough stylization is some settings, particular for countries in East Asia. For a model in which workers are not identical, but where the marginal worker earns the same regardless of whether s/he works in one sector or the other, see Roy (1951). Let us start with a situation in which the demand for labor curve in the manufacturing sector, DM, is downward-sloping relative to origin OM, and likewise, the demand for labor curve in the agricultural sector, DA, is downward-sloping relative to origin OA. The total labor supply is represented by the horizontal distance OM OA. If the standard equilibrating forces in labor markets are free to operate, as is indeed the case in much of East Asia, wages would equalize across the two sectors at level W*. At this wage, OM E workers would be demanded in the manufacturing sector, and OA E workers would be demanded in the agricultural sector. Furthermore, the total labor demanded in the two sectors combined would exactly equal the total labor supplied in the economy. In such an equilibrium, the marginal worker is indifferent between working the manufacturing sector or in the agricultural sector, because the two sectors pay the same wages. Now suppose that economic growth takes place in the manufacturing sector. Because manufacturing firms need more workers to produce the extra output, the labor demand curve in the manufacturing sector shifts rightward to DM'. Assuming no change in the agricultural product market, the agricultural employers' demand for labor curve would remain stationary at DA. The labor market is now in disequilibrium, because at 27 the original wage W*, more labor is demanded than is supplied. To resolve this disequilibrium, some manufacturing employers raise wages in order to retain existing workers and attract new ones, and agricultural employers raise wages to prevent their workers from leaving. The result is that the labor market equilibrates at a new common wage W' > W*. Because of the sector-specific shift in labor demand, more of the country's workers are now in the manufacturing sector than before (OM E' rather than OM E) and fewer in agriculture (OA E' rather than OA E). In the integrated labor market model, economic growth in one sector benefits workers in all sectors. Three groups of workers have been identified in this analysis: (i) Those who had been working in manufacturing and now earn higher wages than before; (ii) Those who are drawn by higher wages into manufacturing from agriculture; and (iii) Those who remain in agriculture and earn more than they did previously. In this way, economic growth in a country's export sector reverberates throughout the labor market, benefiting those who produce manufactured goods and those who produce agricultural goods. The extension of the integrated labor market model from two sectors to N sectors is immediate. B. Multisector Models with Wage Differentials and No Unemployment In contrast to the integrated labor market model just discussed, a number of multisector models are characterized by intersectoral wage differentials. Models with intersectoral wage differentials and no unemployment include the unlimited supply of labor model of Lewis (1954), the intersectoral shifts model of Kuznets (1955), the crowding model of Bergmann (1971), the minimum wage model with incomplete coverage of Welch (1974), and the modern sector enlargement model of Fields (1979b, 1980b). As shown in Figure 3, crowding raises the wage of favored workers and lowers the wage of disfavored ones. 28 These models maintain labor market dualism in the sense that real wages are higher in the formal sector than in the informal sector. In this sense, they differ from the integrated labor market model described in the last subsection, in which wages are the same in the different sectors. The multisector models described in this section also maintain a particular kind of supply-side behavior: all workers not employed in the higher-wage formal sector are assumed to take up employment in the lower-wage informal sector. These models therefore exhibit no unemployment. Within this class of models, the most heralded version is the Nobel Prize-winning work of Lewis (1954). As discussed above, the novel feature of the Lewis model was that the modern sector faces an unlimited supply of labor at wages only somewhat higher than subsistence levels. It is this that makes the Lewis model “classical,” in contrast to a “neoclassical” model in which labor is scarce and has to be bid away from other uses. This feature of the classical model was later elaborated on by Ranis and Fei (1961), Fei and Ranis (1964), and Jorgenson (1967). The unlimited supply of labor to the modern sector is sometimes called an “infinitely elastic supply curve of labor,” but this designation is a misnomer. By definition, a supply curve tells the amount of a good or service that is forthcoming as a function of the relevant price. For it to be a proper function, there can be only one quantity for any price. That is, given the price of labor, the supply function delivers the unique quantity of labor available. Thus, in the Lewis model, when the formal sector wage is above the informal sector wage, the potential quantity of labor supplied to the formal sector is the entire labor force. However, because formal sector employers do not wish to employ all the workers who would like to work there at that wage, they (the employers) face an effectively unlimited supply of labor. Specifically, this means that no individual employer need raise the wage to attract additional labor, nor must employers as a whole within a substantial range. Indeed, there is a horizontal curve, but it is the 29 wage as a function of employment, not the supply of labor (defined in the standard way as the amount of labor supplied as a function of the wage). Over time, the process of savings, investment, capital formation, and economic growth highlighted in many growth models (both classical and neoclassical) shifts the marginal product of labor curve rightward. Workers respond to the increased demand for labor in the formal sector by taking up formal employment to the extent possible. Throughout a long range, the wage in the formal sector remains unchanged, because employers do not need to raise the wage to attract more labor. Ultimately, though, a turning point is reached once the supply of labor to the formal sector is no longer unlimited. Lewis’s characterization of intersectoral linkages thus generates two major predictions. The first is that as long as there exists a surplus of labor to the formal sector, economic growth would generate intersectoral shifts of employment but little or no increase in real wages. The second prediction is that once the unlimited supply of labor to the formal sector is exhausted and the turning point is reached, subsequent economic growth is marked by rising real wages economy-wide. The model proved to be remarkably prescient. Take the case of Taiwan, where manufactured exports were the engine of growth. Data on unemployment and real wages are displayed in Figure 4. At the time Lewis was writing, the open unemployment rate was 6.3%, higher than the generally agreed-upon level of full employment. In the next six years of Taiwan’s economic growth, unemployment fell to 4.3% and real wages in manufacturing rose by only 2% (total, not per year), consistent with excess labor continuing to be supplied relative to the amount demanded. But then, in the next decade (the 1960s), unemployment fell to 1.5% - a rate indicating severe labor shortages – and real wages shot up by 81%. Unemployment remained below 2% in the 1980s and 1990s, and real wages doubled again in each decade, not only in manufacturing but throughout the Taiwanese labor market. 30 The two phases predicted by Lewis appear clearly in the data for Taiwan: falling unemployment at essentially constant wages, then rapidly rising real wages at full or over-full employment. The dualistic model with intersectoral linkages tells a compelling story, and it did it before it happened. Despite the many insights of the original Lewis model and Fei and Ranis’s amplification of it, I find one feature of the model troublesome: the nature of the wage in the informal sector. Lewis used the term “subsistence wage.” If the wage is literally a subsistence wage, below which people cannot subsist, then it has a natural floor. But as these models have evolved, the informal sector wage does not take on the character of the minimum needed for survival. It is, rather, more of a basic wage, lower than the real wage received by formal sector workers. The question, then, is whether this wage is a constant low wage or whether it varies (inversely) with the number of people in the sector. The great majority of analysts regard production in the informal sector as subject to diminishing returns; see, for example, the Harberger quotation above. What diminishing returns in the informal sector implies is that when economic growth takes place and workers are drawn out of the informal sector into the formal sector, those who remain in the informal sector each receive a higher income than before; from my reading, this was first pointed out by Sen (1967). The informal sector wage should not remain constant. Indeed, the rising wage in the informal sector is a reason for the unlimited supply of labor to the formal sector to run out eventually: because the supply price of labor to the formal sector will have risen due to improved wage opportunities in the informal sector. In the dualistic labor market model with no unemployment, economic growth reduces poverty in two ways. One is the increase in wages and utility of those who are able to move from the informal to the formal sector. The other is the increase in wages of those who remain informal. 31 Thus, we see that in these models with wage dualism and no unemployment, as in the other multisector models, employment and wages in each sector of the economy are determined by labor market conditions in all sectors of the economy. Partial equilibrium analysis simply cannot explain what we see. C. Models with Wage Differentials and Unemployment: The Harris-Todaro Model and Extensions of It In 1970, a major alternative was developed in the context of East Africa. John Harris and Michael Todaro (1970) formulated a model in which, to be hired for a formal sector job, it was necessary to be physically present in the urban areas where the formal sector jobs are located. In the Harris-Todaro model, more workers search for formal sector jobs than are hired. Employers hire some of the searchers but not all of them. Those not hired end up unemployed ex post. Open unemployment, though a feature of the world, was not a feature of the models reviewed in the last two subsections. In essence, the Harris-Todaro labor market operates as follows. Employers in the formal sector hire workers until the point where the marginal product of labor equals the wage W F . On the other hand, in the informal sector, there is assumed to be free entry; thus, all persons who wish to work in the informal sector may do so. Each person employed in the informal sector earns a wage WI < W F . Workers are assumed to consider the mathematical expected wages from each of two search strategies: (1) Searching for a formal sector job, which pays a relatively high wage but runs the risk of unemployment, and (2) Taking an informal sector job, which offers a low wage with no risk of unemployment. Harris and Todaro’s insight was that workers would be expected to allocate themselves between formal sector and informal sector search strategies so that the expected wages from the two search strategies are equalized: E(WF) = E(WI). In the basic Harris-Todaro model, this equilibrium condition 32 E becomes W FF =W I , where EF is employment in the formal sector and LF is the labor LF force in the formal sector. Because W F >W I , it follows that EF <1, i.e., the formal LF sector labor force exceeds formal sector employment, and therefore a Harris-Todaro equilibrium is characterized by open unemployment. The Harris-Todaro model produced two powerful policy results. The first concerned a policy of formal sector employment creation to employ the unemployed (who, in the Harris-Todaro model, were all in urban areas, because that is where the formal sector jobs were assumed to be located). A policy of increasing formal sector employment by ∆EF= EF' - EF increases the formal sector labor force by W ∆E FF and W I increases open unemployment by ∆E (W FF −1). Thus, the solution to urban W I unemployment is not urban employment creation. The second policy option considered was a policy of rural development. Suppose that such a program could increase the (rural) informal sector wage from W I to W I '. From the H-T equilibrium condition, unemployment would then fall from UNEM = E (W FF −1) to UNEM' = E W F F ( −1). Thus, in the Harris-Todaro model, the W I W I ' solution to urban unemployment is rural development. Soon after the model was published, the government of Kenya followed the Harris-Todaro precepts by putting into place an integrated rural development program. Indeed, unemployment in Kenya did indeed fall. For a more comprehensive welfare economic analysis of various policy options in the Harris-Todaro model, see Fields (forthcoming) Harris and Todaro’s fundamental contribution was to build a model with wage dualism and unemployment based on sound microfoundations. The fact that the model 33 remains part of our toolkit more than three decades later is a tribute to its basic insight and analytical power. At the same time, some of the assumptions of the Harris-Todaro model were judged to be too restrictive, and so the model was generalized in the years that followed to nest their specific formulation within a broader framework. Their model was first extended by Fields (1975). In that paper, I allowed for on-the-job search from rural agriculture, the existence of an urban informal sector, preferential hiring of the better- educated, and employment fixity. The model has subsequently been extended and generalized to allow for duality within the rural sector, mobile capital, endogenous urban wage setting, risk-aversion, a system of demand for goods, and many other factors (Corden and Findlay, 1975; Calvo, 1978; Moene, 1988, 1992; Khan, 1989; Fields, 1989; Chakravarty and Dutta, 1990; Bourguignon, 1990; Basu, 1997). To give the flavor of these extended Harris-Todaro models, consider the geographically distinct version of informal sector duality described in Section IV.C. Presumably, those people located nearer to where the formal sector jobs are stand a better chance of being hired for any given job vacancy. The fact that they do has implications for urban informal wages. For strictly positive numbers of people to choose each of the three search strategies, the extended Harris-Todaro equilibrium requires that expected wages equalize across the three search strategies. If one group of informal sector workers has better on-the-job search opportunities than another, the labor market equilibrium must be one where the group with the better on-the-job search opportunities ends up with a lower wage in equilibrium. Viewed in this way, it is not surprising that some of the worst poverty in the developing world would be found in the urban areas: the urban poor consist at least in part of those who sought urban formal sector jobs but who were unlucky enough not to be hired for them. Of course, there is another reason for very low urban informal sector wages – landlessness – which the extended Harris-Todaro explanation complements. 34 D. Conclusions on Modeling Intersectoral Linkages In this section, we have examined models of the linkages between the different sectors. One model of intersectoral linkages is the multisector analog of the market- clearing model. In this integrated labor market model, the two sectors are distinct but otherwise offer essentially identical wages and conditions of employment. As a result, the marginal worker is indifferent as to which of the two sectors he or she wishes to work in. One alternative to the integrated labor market model is a model of wage dualism and no unemployment. In this model, all workers seek formal sector jobs. Those who are fortunate enough to be hired for such jobs take them. All those who are not so fortunate then take up work in the informal sector. No one ends up unemployed in this model. The other principal alternative is a model of wage dualism with unemployment. In this model, it is also the case that all workers would like formal sector jobs and those who are offered such jobs take them. However, what differentiates this model from the preceding one is that some number of workers will find it advantageous to search for the high wage jobs and risk unemployment. Each available job will have more than one job- seeker. Once hiring has taken place, the unlucky ones are found to be unemployed. VI. Conclusion I shall now try to summarize the main points of this review and offer some concluding thoughts. First, multisector labor market models have proven very useful. When possible, Occam’s razor suggests limiting the analysis to two sectors. But when two sectors are simply not enough, three-sector or n-sector models can and have proved insightful. In these multisector models, employment and wages in each sector of the economy are 35 determined by labor market conditions in all sectors of the economy. Partial equilibrium analysis simply cannot explain what we see. Second, formal sector labor markets can be formulated in several alternative ways: in terms of market-clearing, in terms of institutional wage-setting, in terms of efficiency wages, and in terms of worker-side resistance to wage cuts. Third, informal sector labor markets can be modeled as a free-entry sector, as a desirable sector, or as having its own internal duality. Fourth, the linkages between the different sectors can be modeled in a number of ways: as an integrated labor market, as a model of wage dualism and no unemployment, and as a model of wage dualism with unemployment. What should we do with these components? Each of the three – formal sector labor market, informal sector labor market, and intermarket linkages – has three or four alternatives. Each combination is possible. Thus, even this relatively coarse categorization results in thirty-six different labor market models. No one would expect that the same model would fit East Africa and East Asia or South Africa and South Korea. Surely, the “correct” model is context-specific. Blending empirical observation and analytical modeling has yielded great advances. Yet, much more remains to be done. Coming up with the “correct” model matters for more than understanding; it matters for policy purposes as well. The same policy can have different effects in the different models. Take the policy of expanding employment in the formal sector. In all three models, as would be expected, labor moves from the informal sector to the formal sector to take up the available jobs. Those individuals who are able to make the move are better off in all three models. The models differ, however, in other respects. In the integrated labor market model, wages rise by equal amounts in the two sectors. 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Real Wage WM´ WA´ W * W * M A DM´ DA DM OM O E E´ A 48 Figure 3. In a Crowding Model, a Higher Wage in Sector A Reduces Employment in That Sector, Crowds Workers into Sector B, and Lowers the Sector B Wage. Labor Market Consequence of Crowding Workers Out of Sector A Real Wage SA´ SA WA´ WA DA EA´ EA Quantity of Labor Labor Market Consequence of Crowding Workers Into Sector B Real Wage SB SB´ WB WB´ DB EB EB´ Quantity of Labor 49 Figure 4. Unemployment and Average Real Wages in Taiwan. 8 6 6.3 4 4.3 2 1.5 1.3 1.7 0 1955 1963 1972 1981 1990 Year Unemployment Rate 1000 800 805 600 400 400 200 183 100 102 0 1950 1960 1970 1980 1990 2000 Year Real Wages in Manufacturing (1954 = 100) Sources: Fields (1984, 1994). Real Wages Unemployment Rate, Percentage