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.     

The beneficial effects of generous unemployment benefits on profits and employment

Theories of the labor market generally predict that high unemployment benefits put upward pressure on wages, thus diminishing the profitability of employing labor and exacerbating unemployment. It remains to be explained why firms agree to contribute to generous schemes (replacement rates for general schemes in Europe and US are in the range 50–85%) that they are often willing to supplement (with sector- or firm-specific schemes that may involve even 100% replacement and long benefit duration). An answer can be found by including in the shirking–efficiency wage model, the hypotheses that workers are risk-averse and that those discharged for misconduct are not eligible to benefits. It is then optimal for risk-neutral firms (and for employment) to introduce an insurance scheme with full income coverage and with a duration limited only by the workers' participation constraint (there is no trade-off between level and duration of benefits). The more difficult it is to detect and fire shirkers, the higher is the rent workers enjoy above the competitive wage and the longer is the benefit duration consistent with the participation constraint. This result can be interpreted as a complementarity between the strictness of employment protection legislation (EPL) and the duration of benefits, which seems to conform with broad patterns observed in primary vs. secondary employment and in continental Europe vs. Anglo-Saxon countries.     

Labor Taxation in Search Equilibrium with Home Production

Conventional models of equilibrium unemployment typically imply that proportional taxes on labor earnings are neutral with respect to unemployment as long as the tax does not affect the replacement rate provided by unemployment insurance, i.e. unemployment benefits relative to after–tax earnings. When home production is an option, the conventional results may no longer hold. This paper uses a search equilibrium model with home production to examine the employment and welfare implications of labor taxes. The employment effect of a rise in a proportional tax is found to be negative for sufficiently low replacement rates, whereas it is ambiguous for moderate and high replacement rates. Numerical calibrations of the model indicate that employment generally falls when labor taxes are raised.     

Unemployment insurance, moral hazard, and economic growth

It is important but difficult to distinguish between desirable and undesirable effects of unemployment insurance (UI) that are observationally equivalent when designing optimal UI schemes. For example, a UI-induced rise in the wage rate caused by workers taking more time to match their skills with job vacancies is desirable. However, another view of the same observation is that UI causes permanently higher involuntary unemployment by raising the reservation wage. This paper avoids this problem by regarding the trade-off between the UI replacement rates and unemployment as an intermediate relationship that matters only as far as it impacts economic growth. An empirical analysis of UI replacement rates, unemployment rates, and growth rates using annual panel data finds UI replacement rates are associated with higher unemployment. However, no significant relationship is found between UI-related unemployment and the real growth rate of gross domestic product.An earlier version of this paper was presented at the Fiftieth International Atlantic Economic Conference, October 15–18, 2000, Charleston, South Carolina. Financial support from the Scottish Economic Society and the University of Stirling is gratefully acknowledged. The Organization for Economic Cooperation and Development generously provided access to their database on benefit entitlements and gross replacement rates. The authors are grateful to an anonymous referee for constructive comments.     

Optimal Welfare-to-Work Programs

A Welfare-to-Work (WTW) program is a mix of government expenditures on various labour market policies targeted to the unemployed ( e.g. unemployment insurance (UI), job search monitoring (JM), social assistance (SA), wage subsidies). This paper provides a dynamic principal–agent framework suitable for analysing chief features of an optimal WTW program, such as the sequence and duration of the different policies, the dynamic pattern of payments along the unemployment spell, and the emergence of taxes/subsidies upon re-employment. The optimal program endogenously generates an absorbing policy of last resort ("social assistance") characterized by a constant lifetime payment and no active participation by the agent. Human capital depreciation is a necessary condition for policy transitions to be part of an optimal WTW program. The typical sequence of policies is quite simple: the program starts with standard UI, then switches into monitored search and, finally, into SA. The optimal benefits are decreasing during unemployment insurance and constant during both JM and SA. Whereas taxes (subsidies) can be either increasing or decreasing with duration during UI, they must decrease (increase) during a phase of JM. In a calibration exercise, we use our model to analyse quantitatively the features of the optimal program for the U.S. economy. With respect to the existing U.S. system, the optimal WTW scheme delivers sizeable welfare gains to unskilled workers because the incentives to search for a job can be retained even while delivering more insurance and using costly monitoring less intensively.     

The optimal taxation of unskilled labor with job search and social assistance

In order to explore the optimal taxation of low-skilled labor, we extend the standard model of optimal nonlinear income taxation in the presence of quasi-linear preferences in leisure by allowing for involuntary unemployment, job search and an exogenous welfare benefit. In trading off low-skilled employment against work effort of higher skilled workers, the government balances distortions on the search margin with those on work effort. Higher welfare benefits typically reduce taxes paid by low-skilled workers and raise marginal tax rates throughout the skill distribution.     

Search costs and efficiency: Do unemployed workers search enough?

Many labor market policies affect the marginal benefits and costs of job search. The impact and desirability of such policies depend on the distribution of search costs. In this paper, we provide an equilibrium framework for identifying the distribution of search costs and we apply it to the Dutch labor market. In our model, the wage distribution, job search intensities, and firm entry are simultaneously determined in market equilibrium. Given the distribution of search intensities (which we directly observe), we calibrate the search cost distribution and the flow value of non-market time; these values are then used to derive the socially optimal firm entry rates and distribution of job search intensities. From a social point of view, some unemployed workers search too little due to a hold-up problem, while other unemployed workers search too much due to coordination frictions and rent-seeking behavior. Our results indicate that jointly increasing unemployment benefits and the sanctions for unemployed workers who do not search at all can be welfare-improving.     

Cross‐Country Differences in Unemployment: Fiscal Policy,Unions, and Household Preferences in General Equilibrium

We develop a five‐period overlapping generations model with individuals who differ by ability and with an imperfect labour market (union wage setting) for individuals of lower ability. The model explains human capital formation, hours worked, and unemployment within one coherent framework. Its predictions match the differences in the unemployment rate across 12 OECD countries remarkably well. A Shapley decomposition of these differences reveals an almost equal role for fiscal policy variables and union preferences. As to fiscal policy, differences in unemployment benefits play a much more important role than tax differences. Differences in households’ taste for leisure are unimportant.     

Optimal Social Insurance with Endogenous Health*

In this paper, I analyze optimal insurance against unemployment and disability in a private information economy with endogenous health and search effort. Individuals can reduce the probability of becoming disabled by exerting prevention effort. I show that the optimal sequence of consumption is increasing for a working individual and constant for a disabled individual. During unemployment, decreasing benefits are not necessarily optimal. The prevention constraint implies increasing benefits while the search constraint demands decreasing benefits while being unemployed. However, if individuals respond sufficiently to search incentives, the latter effect dominates the former and the optimal consumption sequence is decreasing during unemployment.     

Fiscal policies,frictional labor market,and endogenous growth

This paper considers the spillover effects from public spending, and studies optimal fiscal policies in frictional labor markets. We obtain that the optimal shares of government spending in production and consumption are the same as those in a frictionless labor market under the Hosios condition. However, as higher capital accumulation increases the cost of job creation and maintenance, the optimal tax rate of capital income is positive. In addition, when the labor market is frictional, the marginal benefit of labor is larger than the marginal utility of leisure. Thus, consumption and labor should not be taxed uniformly any more. Our calibration suggests that all of the three tax rates should be positive. Moreover, in the situation in which the Hosios condition does not hold, the shares of public productive spending and public consumption both increase when the worker’s bargaining power is greater than the elasticity of search in the matching function.     

Equilibrium unemployment, search behaviour and unemployment persistency

Unemployment persistency and high equilibrium unemployment isoften assumed to be caused by rigidities and low search efficiencyin the labour market, especially in European welfare stateswith generous income replacement schemes. These arguments aretested on data from Sweden, an old welfare state with a longperiod of full employment that has changed into a situationwith high unemployment. Data show a clear and very strong unemploymentduration dependency, but it is not possible to prove that thisis a result of low employability among the long-term unemployed.Getting a job is most of all associated with relative qualifications,recall expectations and local labour market conditions, andnot with search behaviour or high wage demands. It is arguedthat unemployment duration when unemployment is high can bestbe understood as a selection process rather than a search process,and that econometric estimations of equilibrium unemploymentare too pessimistic about the potential for an expansive economicpolicy. It is also argued that an active labour market policyis a more efficient compliment to such a policy than changesin income replacement ratios.     

Search in cities

The aim of this paper is to expose the recent developments of urban search models which incorporate a land market into a search-matching framework. Using these models, we will be able to explain why unemployment rates vary within a city, how city structure affects workers’ labor-market outcomes, how unemployment benefits and the job-destruction rate affect the growth of cities and why workers living far away from job centers search less intensively and experience higher unemployment rates than those residing closer to jobs. We are also able to explain why, as compared to whites, black workers spend more time commuting to work but travel less miles and search for jobs over a smaller area.     

Optimal Factor Income Taxation in the Presence of Unemployment

According to conventional wisdom internationally mobile capital should not be taxed or should be taxed at a lower rate than labour. An important underlying assumption behind this view is that there are no market imperfections, in particular that labour markets clear competitively. At least for Europe, which has been suffering from high unemployment for a long time, this assumption does not seem appropriate. This paper studies the optimal factor taxation in the presence of unemployment which results from the union-firm wage bargaining both with optimal and restricted profit taxation when capital is internationally mobile and labour immobile. In setting tax rates the government is assumed to behave as a Stackelberg leader towards the private sector playing a Nash game. The main conclusion is that in the presence of unemployment, the conventional wisdom turns on its head; capital should generally be taxed at a higher rate than labour.     

Unemployment and the Rental Rate of Capital

This paper introduces a standard neoclassical production function in an equilibrium search model of the labour market, in order to analyse the effects that changes in the (exogenous) rental rate of capital have on the unemployment rate. When the number of firms is kept fixed, an increase in the rental rate affects unemployment only through its impact on selectivity, with the direction of the change depending on the size of the worker's unemployment benefits relative to the firm's search costs. Regardless of the behaviour of selectivity, when the number of firms is determined endogenously, an increase in the rental rate always increases unemployment through a process of job destruction.     

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.     

UNEMPLOYMENT,LABOR MARKET TRANSITIONS,AND RESIDUAL WAGE DISPERSION

It is commonplace in the debate on Germany's labor market problems to argue that low wage dispersion is a major reason for the high unemployment rate. This paper analyzes the relationship between unemployment and residual wage dispersion for individuals with comparable attributes. In the conventional neoclassical point of view, wages are determined by the marginal product of the workers. Accordingly, increases in union minimum wages result in a decline of residual wage dispersion and higher unemployment. A competing view regards wage dispersion as the outcome of search frictions and the associated monopsony power of the firms. Accordingly, an increase in search frictions causes both higher unemployment and higher wage dispersion. The empirical analysis attempts to discriminate between the two hypotheses for West Germany analyzing the relationship between wage dispersion and both the level of unemployment as well as the transition rates between different labor market states. The findings are not completely consistent with either theory. However, as predicted by search theory, one robust result is that unemployment by cells is not negatively correlated with the within‐cell wage dispersion.     

CONSUMPTION AND LEISURE EXTERNALITIES, ECONOMIC GROWTH AND EQUILIBRIUM EFFICIENCY

This paper analyzes the effects of consumption and leisure externalities on growth and welfare in a two‐sector endogenous growth model with human capital accumulation. Both types of externalities are shown to affect the long‐run equilibrium and optimal growth rates in a rather different way. The relationship between the steady state of the market and the centrally planned economy is also analyzed. The optimal growth path can be decentralized by resorting to consumption or labor income taxation, whereas capital income should be untaxed. Numerical simulations suggest that growth and welfare effects of mild consumption and leisure externalities may be quantitatively important.     

POTENTIAL GNP IN THE UNITED STATES, 1948–80

Potential gross national product (GNP) is a measure of the aggregate supply capability of an economy, or the amount of output that could be expected at full employment. Such a measure of output at constant rates of labor and capital utilization is useful as a benchmark for economic performance, calculation of the full employment surplus as an indicator of fiscal policy, and in the projection of unemployment rates. Potential GNP for the United States is estimated for the years 1948–77, and projected for 1978–80. The calculations use a variable benchmark for the full-employment unemployment rate, based on the changing age-sex composition of the labor force, and a constant benchmark for the utilization of fixed capital. A framework for separation of productivity into trend, cycle, and irregular components is developed, and then estimated for the 1948–77 period, using quarterly data. The relationships between various age- and sex-specific unemployment rates are also estimated in construction of the variable unemployment benchmark.     

Who gains from capital market integration? Tax competition between unionized and non‐unionized countries

The welfare effects of capital market integration are examined under a model of tax competition with two asymmetric countries. The asymmetry is expressed through the labour market: one country has a perfect labour market whereas the other country's labour market is unionized. Our results indicate that the welfare effects of capital market integration differ depending on whether governments are active or passive in attracting capital. In the absence of active governments, capital market integration benefits the country with a competitive labour market whereas it harms the unionized country. Capital market integration benefits both countries if governments are active and compete for mobile capital using taxes/subsidies.