Worker heterogeneity and labor market volatility in matching models

Shimer demonstrated that aggregate productivity shocks in a standard matching model cause fluctuations in key labor market statistics—such as the job-finding rate, the vacancy/unemployment ratio, and the unemployment rate—that are too small by an order of magnitude [Shimer, R., 2005. The cyclical behavior of equilibrium unemployment and vacancies. American Economic Review 95 (1) 25–49]. This paper shows that when the standard model is extended to allow for worker heterogeneity, it exhibits considerably greater volatility. In the model, marginal workers, whose productivity only slightly exceeds the value of their alternative use of time, constitute a disproportionate share of unemployment on average, and that share rises when aggregate conditions deteriorate. These composition effects cause firms to open fewer vacancies during downturns.     

Vacancies and Unemployment in Australia

This article examines the extent to which the Mortensen–Pissarides model of labour market search can quantitatively match business cycle fluctuations in Australia. With productivity and job‐separation‐rate shocks, the model fails to produce substantial volatility among unemployment or vacancies, a result similar to Shimer's (2005) findings for the United States. Examining a broader range of shocks significantly increases the magnitude of business cycle fluctuations, but still only explains roughly 25 per cent of labour market volatility. The implied volatility of wages in the model is similar to that in the data and hence excessive wage flexibility is unlikely to be central to the failure of the model as claimed in the literature.     

Working capital requirement and the unemployment volatility puzzle

Shimer (2005) argues that a search and matching model of the labor market in which wage is determined by Nash bargaining cannot generate the observed volatility in unemployment and vacancy in response to reasonable labor productivity shocks. This paper examines how incorporating monopolistically competitive firms with a working capital requirement (in which firms borrow funds to pay their wage bills) improves the ability of the search models to match the empirical fluctuations in unemployment and vacancy without resorting to an alternative wage setting mechanism. The monetary authority follows an interest rate rule in the model. A positive labor productivity shock lowers the real marginal cost of production and lowers inflation. In response to the fall in price level, the monetary authority reduces the nominal interest rate. A lower interest rate reduces the cost of financing and partially offsets the increase in labor cost from a higher productivity. A reduced labor cost implies the firms retain a greater portion of the gain from a productivity shock, which gives them a greater incentive to create vacancies. Simulations show that a working capital requirement does indeed improve the ability of the search models to generate fluctuations in key labor market variables to better match the U.S. data.     

Shocks and rigidities as determinants of CEE labour markets’ performance

In this article, the impact of real wage, productivity, labour demand and supply shocks on eight Central and Eastern European (CEE) economies from 1996–2007 is analysed with a panel structural vector error correction model. A set of long‐run restrictions derived from the dynamic stochastic general equilibrium (DSGE) model is used to identify structural shocks, and fluctuations in foreign demand are controlled for. We find that the propagation of shocks on CEE labour markets resembles that found for OECD countries. Labour demand shocks emerge as the main determinant of employment and unemployment variability in the short‐to‐medium run, but wage rigidities were equally important for observed labour market performance, especially in Poland, Czech Republic and Lithuania. We associate these rigidities with collective bargaining, minimum wage, active labour market policies and employment protection legislation.     

Worker flows, job flows and unemployment in a matching model

Standard matching models of unemployment generate far too little volatility in unemployment and vacancies relative to the variation in the shock variables. Shimer (2005) showed that in US data the vacancy-to-unemployment ratio is about 26 times more volatile than the standard model predicts. He identified the flexibility of wages as the key issue and triggered a heated debate on possible improvements of the core model to accommodate these empirical facts. In this paper, we first document Shimer's facts for the UK and find them to be qualitatively similar to US facts. We then develop and calibrate a model based on the Mortensen and Pissarides approach that increases the volatility of the v/u ratio 20-fold compared to the standard framework. The key features of our model relate to the job creation decision by firms and the search options of workers. We allow these to search whilst employed, and firms to re-advertise jobs that have been quit from. This leads us to use a different job creation process, whereby potential vacancies, or job ‘ideas’, arise at a finite rate per period over a range of idiosyncratic productivities. Calibrating the model to UK data, we show that it delivers volatility in unemployment and vacancies much closer to, though still not as large as, that observed for the UK, whilst retaining the standard wage determination process.     

Prices,Productivity and Wage Bargaining in Open Economies*

According to the standard union bargaining model, unemployment benefits should have big effects on wages, but product‐market prices and productivity should play no role in the wage bargain. We formulate an alternative strategic bargaining model, where labour and product‐market conditions together determine wages. A wage equation is derived and estimated on aggregate data for four Nordic countries. Wages are found to depend not only on unemployment and the replacement ratio, but also on productivity, international prices and exchange rates. There is evidence of considerable nominal wage rigidity. Exchange rate changes have large and persistent effects on competitiveness.     

Rent Rigidity,asymmetric information,and volatility bounds in labor markets

Two thirds of US unemployment volatility is due to fluctuations in workers' job-finding rate. In search and matching models, aggregate productivity shocks generate such fluctuations: via inputs in the matching technology, they affect the rate at which workers and firms come into contact. Quantitatively, this mechanism has been found to be negligible in a calibrated textbook model, but also more than sufficient if wages are completely rigid. We study a weaker concept of rigidity based on worker rents (wages in excess of the value of unemployment). We show that volatility is subject to an upper bound if worker rents are weakly procyclical, thus at best rigid. Quantitatively, with Rent Rigidity, the mechanism accounts for at most 20% of the variance of the job-finding rate. In light of this result we reexamine the question whether asymmetric information on gains from trade amplifies fluctuations. We analyze a series of bargaining solutions, and conclude that asymmetric information at best makes rents rigid. Our analysis provides a unifying perspective on a very lively debate.     

COLLECTIVE BARGAINING,AWARENESS OF GENERAL EQUILIBRIUM EFFECTS,AND UNEMPLOYMENT*

We explore the significance of general equilibrium feedback effects for wage‐bargaining. We examine a two‐sector economy and show that if agents only consider labor demand effects low real wages and low unemployment are the consequences. With an intermediate view, i.e., when partial equilibrium effects within a sector are taken into account, high real wages and unemployment result. If all general equilibrium effects are perceived simultaneously, we once again obtain a situation with low wages and unemployment. The results may explain why unemployment is high in some European countries.     

Unemployment Benefits, Contract Length and Nominal Wage Flexibility

In a bargaining model, we show that a decrease in the unemployment benefit level increases not only equilibrium employment, but also nominal wage flexibility, and thus reduces employment variations in the case of nominal shocks. Long‐term wage contracts lead to higher expected real wages and hence higher expected unemployment than short‐term contracts. Therefore, a decrease in the benefit level reduces the expected utility gross of contract costs of a union member more with long‐term than with short‐term contracts, thereby creating an incentive for shorter contracts. Incentives for employers are shown to change in the same direction.     

Globalization and labor market outcomes: Wage bargaining, search frictions, and firm heterogeneity

We introduce search unemployment into Melitz's trade model. Firms' monopoly power on product markets leads to strategic wage bargaining. Solving for the symmetric equilibrium we show that the selection effect of trade influences labor market outcomes. Trade liberalization lowers unemployment and raises real wages as long as it improves average productivity. We show that this condition is likely to be met by a reduction in variable trade costs or by entry of new trading countries. Calibrating the model shows that the long-run impact of trade openness on the rate of unemployment is negative and quantitatively significant.     

Coordination versus flexibility in wage formation: a focus on the nominal wage impact of productivity in Germany,Greece, Ireland,Portugal, Spain and the United States

Wage coordination between countries of the European Monetary Union (EMU) aims at aligning nominal wage growth with labour productivity growth at the national level. We analyse the developments in Germany, the EMU’s periphery countries Greece, Ireland, Portugal and Spain along with the United States over the period 1980 to 2010. Apart from the contribution of productivity to nominal wages, we take into account the contributions of prices, unemployment, replacement rates and taxes by means of an econometrically estimated nonlinear equation resulting from a wage bargaining model. We further study the downward rigidities of nominal wages. The findings show that in past times of low productivity, price inflation and reductions in unemployment still put significant upward pressure on nominal wage growth. The periphery countries are far from aligning nominal wage growth with productivity growth. German productivity is a major wage determinant, but surely not the only one. Within the context of a free bargaining process between employers and labour unions, policy-makers can effectively use the replacement rate to steer the nominal wages outcome.     

BUSINESS CYCLES IN THE EQUILIBRIUM MODEL OF LABOR MARKET SEARCH AND SELF‐INSURANCE*

I introduce risk‐aversion, labor‐leisure choice, capital, individual productivity shocks, and market incompleteness to the standard model of labor search and matching and investigate the model’s cyclical properties. I find that the model can generate the observed large volatility of unemployment and vacancies with a reasonable replacement rate of unemployment insurance benefits of 64%. Labor‐leisure choice plays a crucial role through additional utility from leisure when unemployed and further amplification from adjustments of hours worked. On the other hand, the borrowing constraint or individual productivity shocks do not significantly affect the cyclical properties of unemployment and vacancies.     

Micro Foundations for Wage Flexibility: Wage Insurance at the Firm Level*

To what extent do firms insulate their workers' wages from fluctuations in product markets? Which firm and worker attributes are associated with wage flexibility at the micro level? We first rely on Guiso, Pistaferri and Schivardi (2005) to estimate dynamic models of sales and wages, finding that in Portugal, workers' wages respond to permanent shocks on firm performance, as opposed to transitory shocks. We then explore the factors associated with wage flexibility, finding that collective bargaining and minimum wages are associated with higher wage insurance by the firm, while the threat of firm bankruptcy reduces it. Managers receive less protection against permanent shocks than other workers.     

Minimum wages and youth unemployment

This paper constructs a labor search model to explore the effects of minimum wages on youth unemployment. To capture the gradual decline in unemployment for young workers as they age, the standard search model is extended so that workers gain experience when employed. Experienced workers have higher average productivity and lower job finding and separation rates that match wage and worker flow data. In this environment, minimum wages can have large effects on unemployment because they interact with a worker's ability to gain job experience. The increase in minimum wages between 2007 and 2009 can account for a 0.8 percentage point increase in the steady state unemployment rate and a 2.8 percentage point increase in unemployment for 15–24 year old workers in the model parameterized to simulate outcomes of high school educated workers. Minimum wages can also help explain the high rates of youth unemployment in France compared to the United States.     

On-the-job search and strategic bargaining

This paper studies wage bargaining in a simple economy in which both employed and unemployed workers search for better jobs. The axiomatic Nash bargaining solution and standard strategic bargaining solutions are inapplicable because the set of feasible payoffs is nonconvex. I instead develop a strategic model of wage bargaining between a single worker and firm that is applicable to such an environment. I show that if workers and firms are homogeneous, there are market equilibria with a continuous wage distribution in which identical firms bargain to different wages, each of which is a subgame perfect equilibrium of the bargaining game. If firms are heterogeneous, I characterize market equilibria in which more productive firms pay higher wages. I compare the quantitative predictions of this model with Burdett and Mortensen's [1998. Wage differentials, employer size and unemployment. International Economic Review 39, 257-273.] wage posting model and argue that the bargaining model is theoretically more appealing along important dimensions.     

Search, Nash bargaining and rule-of-thumb consumers

This paper analyses the effects of introducing two typical Keynesian features, namely rule-of-thumb (RoT) consumers and consumption habits, into a standard labour market search model. RoT consumers use the margin that hours and wage negotiation provides them to improve their lifetime utility, by narrowing the gap in utility with respect to Ricardian consumers. This margin for intertemporal optimisation has not been studied yet, because this class of restricted agents has been mainly used in models with no equilibrium unemployment. Our approach allows for a deeper study of the effects of shocks on vacancies, unemployment, hours, wages and how they interact. As habits increase, RoT consumers find it optimal, after a positive technology shock, to negotiate lower hours and higher wages, and this mechanism reduces the simulated correlation between the real wage (or productivity) and total hours to values closer to those obtained empirically. Thus, with the interaction of RoT consumers and consumption habits, the labour market search model improves significantly in reproducing some of the stylised facts characterising the US labour market.     

AGGREGATE LABOUR MARKET DYNAMICS IN HONG KONG

I specify a simple search and matching model of the labour market and estimate it on unemployment and vacancy data for Hong Kong over the period 2000–2010 using Bayesian methods. The model fits the data remarkably well. The estimation shows that productivity shocks are the main driver of fluctuations in the labour market, with cyclical movements in the separation rate playing only a subordinate role. The parameter estimates are broadly consistent with those found in the literature. To replicate the volatility of unemployment and vacancies, the model estimates require a high replacement ratio and a low bargaining power for workers, in addition to two extraneous sources of uncertainty. The estimates are robust to a relaxation of the prior information and small changes in the underlying model specification, which suggests that the data are informative and that the model is well specified. Overall, the Hong Kong labour market can be characterized by having a low degree of churning in normal times, but rapid firings and hirings in recessions and expansions.     

Migration and imperfect labor markets: Theory and cross-country evidence from Denmark,Germany and the UK

We investigate the labor market effects of immigration in Denmark, Germany and the UK, three countries which are characterized by considerable differences in labor market institutions and welfare states. Institutions such as collective bargaining, minimum wages, employment protection and unemployment benefits affect the way in which wages respond to labor supply shocks, and, hence, the labor market effects of immigration. We employ a wage-setting approach which assumes that wages decline with the unemployment rate, albeit imperfectly. We find that the wage and employment effects of immigration depend on wage flexibility and the composition of the labor supply shock. In Germany immigration involves only moderate wage, but large unemployment effects, since immigrants are concentrated in labor market segments with low wage flexibility. The reverse is true for the UK and Denmark.     

PERSISTENCE AND VOLATILITY OF BEVERIDGE CYCLES

This article explains the cyclical behavior of the fluctuations in unemployment and vacancies by demand externalities. Adding such externalities to an otherwise standard search and matching model reduces the need for exogenous shocks in explaining these fluctuations. Under plausible parameter values, the equilibrium dynamics include a stable limit cycle that resembles the empirically observed counterclockwise cycles around the Beveridge curve. Calibrated to the duration of the business cycle, these endogenous “Beveridge cycles” are as persistent as the data, without losing any of the amplification of the standard model.     

Egalitarian wage policies, unemployment and skill-biased technological change

A popular explanation for the rise in European unemployment during the past decades is that relative wages failed to adjust to changes in relative productivities. Many economists reject this hypothesis on the ground that the ratios of low- to high-skill unemployment did not increase. Building on a search model, I argue that relative unemployment rates are affected by skill-neutral, as well as skill-biased shocks; hence stable ratios are theoretically consistent with a mix of skill-biased and skill-neutral shocks. Yet, numerical exercises confirm that wage rigidity in the face of skill-biased shocks probably did not explain much of the European unemployment experience.