Labor Markets and Business Cycles
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Labor Markets and Business Cycles integrates search and matching theory with the neoclassical growth model to better understand labor market outcomes. Robert Shimer shows analytically and quantitatively that rigid wages are important for explaining the volatile behavior of the unemployment rate in business cycles.
The book focuses on the labor wedge that arises when the marginal rate of substitution between consumption and leisure does not equal the marginal product of labor. According to competitive models of the labor market, the labor wedge should be constant and equal to the labor income tax rate. But in U.S. data, the wedge is strongly countercyclical, making it seem as if recessions are periods when workers are dissuaded from working and firms are dissuaded from hiring because of an increase in the labor income tax rate. When job searches are time consuming and wages are flexible, search frictions--the cost of a job search--act like labor adjustment costs, further exacerbating inconsistencies between the competitive model and data. The book shows that wage rigidities can reconcile the search model with the data, providing a quantitatively more accurate depiction of labor markets, consumption, and investment dynamics.
Developing detailed search and matching models, Labor Markets and Business Cycles will be the main reference for those interested in the intersection of labor market dynamics and business cycle research.
Robert Shimer
Robert Shimer is the Alvin H. Baum Professor in Economics and the College at the University of Chicago.
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Labor Markets and Business Cycles - Robert Shimer
Index
Introduction
Series Editor: Hans-Joachim Voth
Advisory Board: Antonio Ciccone, Jordi Galí, Jaume Ventura
The Center for Research in International Economics (CREI) aims to deepen our understanding of the global forces that shape modern economies. CREI was founded in 1994 with support from the Generalitat de Catalunya and Universitat Pompeu Fabra (UPF). It is dedicated to generating research of the highest quality, in all areas of macroeconomics—ranging from growth, international finance, business cycles, the study of labor markets, and monetary economics to trade, development, and international economic history.
The CREI Lectures in Macroeconomics will present new work by young but already distinguished scholars, whose recent contributions have already had a substantial impact on the profession. Authors will be prominent contributors to areas of economics that have attracted a good deal of attention recently. The goal is that scholars delivering the CREI Lectures offer a synthesis of their thinking on one of the key research challenges facing the profession. Books in this series are aimed at graduate students and researchers in macroeconomics, broadly defined.
Preface
The goal of this book is to consolidate, extend, and provide a new perspective on recent research that uses search frictions and wage rigidities to explain the cyclical dynamics of labor markets. Since the working paper versions of Shimer (2005), Hall (2005), and Costain and Reiter (2008) first circulated in 2002 and 2003, there has been a profusion of research in this area, but the underlying question is as old as macroeconomics: why do employment and unemployment fluctuate so much at business cycle frequencies?
Lucas and Rapping’s (1969) theory of intertemporal substitution in labor supply is the starting point for any modern analysis of employment fluctuations, including the Real Business Cycle (RBC) model and the New Keynesian model. The key assumption is that workers decide how much to work at each point in time, taking as given the prevailing wage. To the extent that labor supply is elastic, hours of work fluctuate with movements in the wage.
While models based on intertemporal substitution in labor supply are qualitatively consistent with the movement of hours of work over the business cycle, they run into at least two problems. First, in a frictionless environment, the marginal rate of substitution between consumption and leisure should be equal to the marginal product of labor, after adjusting for labor and consumption taxes. When they looked at data, Parkin (1988), Rotemberg and Woodford (1991, 1999), Hall (1997), Mulligan (2002), and Chari et al. (2007) found that this relationship does not hold. In chapter 1, I reaffirm this finding, verifying that there is a wedge between the marginal rate of substitution and the marginal product of labor, the labor wedge, and that the wedge varies cyclically. During almost every recession, the labor wedge increases sharply. From the perspective of a frictionless model, there are two ways to interpret this finding: recessions may be times when labor income taxes and consumption taxes rise, discouraging workers from supplying labor; or they may be times when the disutility of work increases. In a reduced-form model, both would dissuade workers from working, causing countercyclical increases in the measured labor wedge. But unfortunately neither possibility is empirically tenable.
The second problem with the frictionless model is that, in an environment where workers can decide how much to work at each point in time, it is possible to generate movements in hours worked but impossible to generate unemployment, i.e., nonemployed workers who would like to work at the prevailing wage. This omission potentially has important implications for welfare, since a worker who cannot find a job at the prevailing wage but would like to have one is, by revealed preference, worse off than if she simply chose not to work at that wage. It potentially also has important consequences for the positive analysis of business cycles, since most cyclical movements in the aggregate number of hours worked are accounted for by movements between employment and unemployment, not by movements in hours worked by employed workers.
Equilibrium search-and-matching models provide an ideal laboratory for understanding unemployment and have been used extensively for this purpose.¹ The models build on the idea that it takes workers time to find a job. Thus a worker entering the labor market or a worker who loses her job necessarily experiences a spell of unemployment. Moreover, unemployed workers are worse off than employed workers because they are unable to work until they find a job. In this sense, search and matching provides a theory of unemployment, not just of nonemployment.
Search-and-matching models also often assume that firms must expend resources in order to find a suitable worker. A matching function determines the number of workers and firms that meet as a function of the unemployment rate and firms’ recruiting effort. Fluctuations in the profitability of hiring a worker, possibly due to fluctuations in aggregate productivity, induce fluctuations in recruiting. When firms recruit harder, unemployed workers find jobs faster, pulling down the unemployment rate. Thus search-and-matching models naturally generate movements in unemployment duration, which are an important component of the observed fluctuations in unemployment at business cycle frequencies.
But the question remains whether search-and-matching models are quantitatively consistent with the observed behavior of labor market outcomes. There is a good reason to expect that they are not. Recall that a competitive labor market model cannot explain all of the observed fluctuations in the labor wedge. Viewed through the lens of a frictionless model, recessions look like periods when the labor wedge rises, reducing labor supply.
Now consider introducing a labor adjustment cost into a competitive model, making it costly for firms to increase their employment level. This will directly lower the volatility of employment. Firms will increase employment by less during expansions because hiring is costly. They will also be less willing to reduce employment during recessions in order to avoid future hiring costs, when desired employment returns to normal. Thus hours worked will tend to be more stable over the business cycle when adjustment costs are larger. If real-world data were generated by an economy with labor adjustment costs but an economist ignored the existence of those costs, he would be surprised by how stable observed hours worked were over the business cycle. Measuring the labor wedge with data generated by the economy, he would rationalize this by concluding that the wedge rises during expansions and falls during recessions—exactly the opposite of what we observe in the data.
Search frictions act, at least in part, like a labor adjustment cost, since they imply that it takes unemployed workers time to find a job and it takes firms time to hire workers. If this reduces the volatility of employment, the labor wedge will tend to be positively correlated with employment. Such a model of search frictions will not be useful in explaining the cyclical behavior of labor markets.
The bulk of this book confirms the thrust of this argument. Search frictions do not per se help to explain fluctuations in the labor wedge, but rather they exacerbate the problems of the frictionless model. However, I also argue that subsidiary assumptions, especially alternative assumptions on wage setting, may help to explain why the measured labor wedge is countercyclical and why employment is so volatile.
To understand this last statement, note that in matching models based on Pissarides (1985) and Mortensen and Pissarides (1994), search frictions create a gap between the marginal product of labor and the marginal rate of substitution. This is because workers and firms engage in a time-consuming search for partners before negotiating a wage. Once they have sunk this cost, there is a range of wages at which both prefer to match rather than break up. Loosely speaking, any wage that is larger than the marginal rate of substitution between consumption and leisure but smaller than the marginal product of labor will be mutually preferable to breaking up.
A critical question is how wages are determined. A common assumption in the search-and-matching literature is that the worker and the firm bargain over the gains from trade, splitting the surplus according to the Nash bargaining solution (Nash 1953). In chapter 2, I prove that under this wage-setting assumption, the wage, the marginal rate of substitution, and the marginal product of labor are all proportional to current productivity under particular assumptions on preferences (balanced growth and additive separability between consumption and leisure) and under the assumption that output is produced using only labor. Productivity shocks affect neither the labor wedge nor the (un)employment rate. This neutrality result is inspired by Blanchard and Galí (2006), who reach a similar conclusion in a model where firms face a labor adjustment cost.
In chapter 3, I break this neutrality result in several ways. First, I allow for more general preferences, although I maintain the balanced-growth restriction. The resulting fluctuations are minuscule. Second, I introduce capital into the model. While the resulting framework generates cyclical movement in employment and the labor wedge, it is inconsistent with the data. In particular, I verify that employment is positively correlated with the measured labor wedge in the model, for the reason described above: search frictions dampen fluctuations in employment, which, viewed through the lens of the frictionless model, suggests that expansions are periods when labor tax rates are higher. Third, I consider other shocks, especially reallocation shocks that change the probability of an employed worker becoming unemployed. This has little effect on the results. I conclude that the (counterfactual) positive comovement of the labor wedge and employment is a robust feature of search models when wages are set via Nash bargaining.
Chapter 4 considers an alternative wage-setting procedure that is no less plausible than the Nash bargaining solution and has qualitatively different implications for the behavior of the model. I assume that wages are backward looking. I find that this form of wage rigidity can potentially explain why employment is so volatile even if the elasticity of labor supply is relatively small. If wages do not fall following a negative productivity shock, firms will be reluctant to hire workers, pushing up unemployment duration and the unemployment rate.
This type of wage rigidity is based on ideas first developed in Hall (2005).² In a framework similar to Shimer (2005), Hall shows that if wages are rigid, unemployment is extremely sensitive to underlying shocks. He stresses that this type of wage rigidity is not susceptible to the Barro (1977) critique. That is, no matched worker-firm combination would mutually prefer to renegotiate their wage. Similarly, Blanchard and Galí (2006) consider a real-wage rigidity that makes the wage move less than one-for-one with the shock. Firms respond to relatively low wages during booms by creating many new jobs, driving down the unemployment rate. However, this also implies that part of the productivity increase is spent on additional job creation. Consumption then increases by less than productivity, generating a countercyclical labor wedge. Gertler and Trigari (2009) reach a similar conclusion in a model with overlapping wage contracts that are not contingent on the path of productivity shocks.
Chapter 5 briefly concludes by summarizing some recent related research and suggesting the directions that future research may take.
I intend for this book to provide a stand-alone treatment of the business cycle properties of search-and-matching models. It should be suitable for advanced graduate students and other researchers familiar with modern recursive methods, for example at the level of Ljungqvist and Sargent (2004). At the same time, the book is far from exhaustive. In particular, I focus exclusively on business cycle issues, neglecting fascinating and important topics, such as cross-country differences in unemployment rates, that many others have addressed using search models. For these issues and others, the textbook treatment in Pissarides (2000) complements this book. Moreover, Pissarides (2000) provides a less technical introduction to search-and-matching models, which may be particularly useful to a reader who is uncomfortable with the history-contingent notation that I use throughout this book.
This book is also not a comprehensive survey of the literature on business cycles and unemployment. I develop one particular model of unemployment, integrating the search-and-matching model with a standard RBC model. I abstract from important, but difficult and controversial, issues like the role of incomplete markets in search models with aggregate fluctuations (Bils et al. 2007; Krusell et al. 2007; Nakajima 2008). Perhaps most importantly, I do not attempt to review the burgeoning literature on the business cycle properties of search models, mentioning only a few papers from which I knowingly borrow ideas.³ My excuse is that the scope of this project, originally conceived to accompany three lectures at the Centre de Recerca en Economia Internacional (CREI) in June 2008, prevents me from doing so.
I am grateful for the comments I received at CREI during and after those lectures and for CREI’s hospitality during the week I spent there. Comments by Jordi Galí, Jaume Ventura, and others had a significant influence on the shape and emphasis of this manuscript. Thijs van Rens, in addition to providing comments during the lectures at CREI, subsequently used a draft of this book as part of a course and provided me with detailed feedback on the near-final manuscript.
I have taught short series of lectures based on this book at the Massachusetts Institute of Technology, Osaka University, and Study Center Gerzensee. I found that four ninety-minute lectures, one devoted to each of the first four chapters, were sufficient for a thorough overview of the material. Covering all the variants of the models and the related literature takes considerably longer. I appreciate the comments that I received from students at each of those institutions.
I also received detailed feedback from my colleagues at the University of Chicago. Fernando Alvarez’s and Robert Lucas’s comments were particularly important in revising this book. More broadly, my thinking about the issues in this book was informed by numerous discussions with colleagues at other universities, including Dale Mortensen, Christopher Pissarides, Richard Rogerson, Iván Werning, Randall Wright, and especially Robert Hall.
Katarina Borovickova provided me with fantastic research assistance, replicating all of the algebra and code in this book, thus significantly reducing the number of mistakes in the final manuscript. I am also grateful for the financial support of the National Science Foundation. Finally, I would like to thank Alicia Menendez for her extraordinary patience with me through the research and writing process.
¹ Important papers in the search-and-matching literature include Lucas and Prescott (1974), Pissarides (1985), and Mortensen and Pissarides (1994). For a thorough textbook treatment of the matching model, see Pissarides (2000).
² One may also think of this as a modern attempt to integrate search theory with disequilibrium macroeconomics (Barro and Grossman 1971; Benassy 1982; Malinvaud 1977).
³ An inexhaustive reading list would certainly include Yashiv (2006), Krause and Lubik (2007), Mortensen and Nagypál (2007), Rudanko (2009), Farmer and Hollenhorst (2006), Kennan (2006), Rotemberg (2006), Rudanko (2008), and the papers collected in a special issue of the Scandinavian Journal of Economics entitled Macroeconomic Fluctuations and the Labor Market
(2007, volume 107, issue 4).