On the Optimality of Search Matching Equilibrium When Workers Are Risk Averse

This paper revisits the normative properties of search‐matching economies when homogeneous workers have concave utility functions and wages are bargained over. The optimal allocation of resources is characterized first when information is perfect and second when search effort is not observable. In the former case, employees should be unable to extract a rent. The optimal marginal tax rate is then 100%. As search effort becomes unobservable, an appropriate positive rent is needed and the optimal marginal tax rate is lower. Moreover, the pretax wage is lower in order to boost labor demand. Finally, in both cases, nonlinear income taxation is a key complement to unemployment insurance.     

On the optimality of a minimum wage: New insights from optimal tax theory

We build a theoretical model to study whether a minimum wage can be welfare-improving if it is implemented in conjunction with an optimized nonlinear income tax. We consider this issue in a framework where search frictions on the labor market generate unemployment. Workers differ in productivity. The government does not observe workers' productivity but only their wages. Hence, the redistributive policy solves an adverse selection problem. We show that a minimum wage is optimal if the bargaining power of the workers is relatively low. However, if the government controls the bargaining power, then it is preferable to set a sufficiently high bargaining power.     

On the Provision of Insurance against Search‐Induced Wage Fluctuations*

Should workers be provided with insurance against search‐induced wage fluctuations? To answer this question, I rely on the numerical simulations of a model of on‐the‐job search and precautionary savings. The model is calibrated to low‐skilled workers in the United States. The extent of insurance is determined by the degree of progressivity of a non‐linear transfer schedule. The fundamental trade‐off is that a more generous provision of insurance reduces incentives to search for better‐paying jobs, which increases the cost of providing insurance. I show that progressivity raises the search intensity of unemployed workers, which reduces the equilibrium rate of unemployment, but it lowers the search intensity of employed job seekers, which reduces the output level. I also solve numerically for the optimal non‐linear transfer schedule. The optimal policy is to provide little insurance up to a monthly income level of $1350, so as to preserve incentives to move up the wage ladder, and nearly full insurance above $1450. This policy reduces the standard deviation of labor income net of transfers by 34 per cent and generates a consumption‐equivalent welfare gain of 0.7 per cent. The absence of private savings does not fundamentally change the shape of the optimal transfer function, but tilts the optimal policy towards more insurance, at the expense of a less efficient allocation of workers across jobs.     

Optimal Redistributive Taxation in a Search Equilibrium Model

This paper characterizes optimal non-linear income taxation in an economy with a continuum of unobservable productivity levels and endogenous involuntary unemployment due to frictions in the labour markets. Redistributive taxation distorts labour demand and wages. Compared to their efficient values, gross wages, unemployment, and participation are lower. Average tax rates are increasing. Marginal tax rates are positive, even at the top. Finally, numerical simulations suggest that redistribution is much more important in our setting than in a comparable Mirrlees-type setting.     

Viewpoint: Innovations in the theory and practice of redistribution policy

Abstract We present a survey of key results from second‐best optimal redistribution theory and their implications for tax‐transfer policy. The core results include the Corlett‐Hague theorem, the Deaton conditions, the production‐efficiency theorem, the Atkinson‐Stiglitz theorem, and the Mirrlees‐Saez characterization of the optimal non‐linear income tax system. These have been augmented in recent years by optimal participation tax rates, the implications of involuntary unemployment, the use of unconventional instruments, such as minimum wages, in‐kind transfer, and workfare, and the optimal taxation of capital income and bequests.     

Welfare states and unemployment

Summary This paper studies equilibrium unemployment in a search model where the government both provides liberal unemployment insurance and taxes labor at high progressive tax rates. It is shown how progressive income taxation can counteract a high unemployment rate under generous unemployment insurance. In particular, high marginal taxes reduce workers' incentives to switch jobs in response to changing economic opportunities. This lower labor mobility reduces unemployment but at the cost of a less efficient labor allocation.We are grateful to William Dupor, Krishna Kumar, and Ashok Rai for excellent computer programming.     

Optimum income taxation and layoff taxes

This paper analyzes optimum income taxation in a model with endogenous job destruction that gives rise to unemployment. It is shown that optimal tax schemes comprise both payroll and layoff taxes when the state provides public unemployment insurance and aims at redistributing income. The optimal layoff tax is equal to the social cost of job destruction, which amounts to the sum of unemployment benefits (that the state pays to unemployed workers) and payroll taxes (that the state does not get when workers are unemployed).     

Optimal Redistributive Income Taxation and Efficiency Wages*

In this paper, we integrate efficiency wage setting with the theory of optimal redistributive income taxation. In doing so, we use a model with two skill types, where efficiency wage setting characterizes the labor market faced by the low‐skilled, whereas the high‐skilled face a conventional, competitive labor market. We show that the marginal income tax implemented for the high‐skilled is negative under plausible assumptions. The marginal income tax facing the low‐skilled can be either positive or negative, in general. An increase in unemployment benefits contributes to a relaxation of the binding self‐selection constraint, which makes this instrument particularly useful from the perspective of redistribution.     

Optimal Income Taxation with Risky Earnings: A Synthesis

We study optimal nonlinear income taxation when earnings can differ because of both ability and luck, so the income tax has both a redistributive role and an insurance role. A substantial literature on optimal redistribution in the absence of risk has evolved since Mirrlees's original contribution. The literature on the income tax as a social insurance device is more limited. It has largely assumed that households are ex ante identical so unequal earnings are due to risk alone. We provide a general treatment of the optimal income tax under risk when households differ in ability. We characterize optimal marginal tax rates and interpret them in terms of redistribution, insurance, and incentive effects. The case of ex ante identical households and the no‐risk case with heterogeneous abilities come out as special cases.     

Lower Tax Progression, Longer Hours and Higher Wages

The impact of tax reforms that decrease income tax progression is analysed in an equilibrium search model with wage bargaining and endogenous individual working hours. Working hours are either bargained together with the hourly wage (case 1) or determined solely by workers after bargaining over the wage (case 2). In both cases reducing tax progression increases working hours of employed and, more interestingly, unambiguously increases wages and unemployment. Wages and unemployment rise more and working hours and production less in case 1 compared to case 2, probably making case 2 countries best suited for such tax reforms.
JEL Classification : H 24; J 22; J 41     

Constrained Inefficiency and Optimal Taxation with Uninsurable Risks

When individuals' labor and capital income are subject to uninsurable idiosyncratic risks, should capital and labor be taxed, and if so how? In a two‐period general equilibrium model with production, we derive a decomposition formula of the welfare effects of these taxes into insurance and distribution effects. This allows us to determine how the sign of the optimal taxes on capital and labor depend on the nature of the shocks and the degree of heterogeneity among consumers' income, as well as on the way in which the tax revenue is used to provide lump‐sum transfers to consumers. When shocks affect primarily labor income and heterogeneity is small, the optimal tax on capital is positive. However, in other cases a negative tax on capital is welfare‐improving.     

Optimum taxation with errors in administration

The paper compares the welfare levels which can be achieved by two distinct tax regimes: lump-sum taxation, where one attempts to identify individuals and allocate transfers or subsidies on the basis of characteristics, and income taxation, where characteristics are not observed but personal incomes are measured and taxed. Where there are no errors in classifying individuals, lump-sum taxation is superior, but, where mistakes are made in the allocation of lump-sum grants or subsidies, income taxation may be more attractive. The level of errors where the regimes are equally desirable in terms of social welfare is computed in simple models following that of Feldstein (1973). Where there is strong aversion to inequality, then income taxation becomes preferable at quite small errors.In analysing income taxation it is shown that in the Feldstein model with endogenous wages the marginal tax rate (in optimum income taxation) on the more skilled is negative and that on the less skilled is positive in contrast to the standard results [see Seade (1977)] with exogenous wages.     

Optimal age‐dependent income taxation in a dynamic extensive model: The case for negative participation tax on young people

We consider optimal age‐dependent income taxation in a dynamic model where the labor‐leisure choice is the extensive margin, each household faces idiosyncratic shocks to labor productivity and a pecuniary cost to work, and there is no insurance market against the shocks. We show that the well‐known property of the optimal participation tax rate in the static model continues to hold in our dynamic economy, that is, the participation tax rates for some income groups with low consumption are likely negative. In dynamic models, the optimal participation tax rate depends on age and on labor income. Our numerical simulations suggest that a negative participation tax should be restricted to young households.     

Unemployment insurance and redistributive taxation

This paper studies the simultaneous determination of the socially optimal levels of unemployment insurance, income taxation and experience rating. It argues that there is a normative justification for state unemployment insurance. When the government wishes to use redistributive taxes, but cannot enforce lump-sum transfers, it is not socially optimal for there to be full experience rating of unemployment insurance schemes: one distortion should be used to off-set another. The state must then intervene in the provision of insurance for those without jobs.     

Income tax deductions for losses as insurance revisited

Kaplow (1992) shows that allowing income tax deductions for losses as partial insurance is undesirable in the presence of private insurance markets. This paper revisits the issue by considering a model that integrates Kaplow (1992) with Stiglitz (1982). We address the following question: Whether the income tax deduction for losses is part of an optimal income tax system. We show that introducing the income tax deduction for uninsured losses to complement an optimal nonlinear labor income tax will Pareto-improve welfare, provided that: (i) information is incomplete for the government as in the Stiglitz framework, and (ii) the premium for private insurance is unfair or moral hazard is present.     

Income Taxation, Endogenous Factor Prices and Production Efficiency

In an analysis of a two‐type income tax model with endogenous wages, this paper shows that production efficiency is violated in the optimum with (i) non‐linear and (ii) linear income taxation if and only if a distortionary tax schedule is implemented. These findings complement earlier results of the literature. In passing, it is also shown that optima with non‐linear redistributive income taxation cannot be identified with the redistributive regime if the assumption of endogenous wages is taken seriously.     

Employment- and growth effects of tax reforms

Since the mid-1990s almost all OECD countries have engaged in fundamental reforms of their tax systems. There is a trend towards higher social security contributions and lower tax rates on personal and corporate income. This paper explores whether these tax policy measures are effective means for reducing unemployment and accelerating economic growth. Using a Pissarides type search model with endogenous growth, we analyze how savings and the incentive to create new jobs are affected by revenue-neutral tax swaps between wage income taxes, payroll taxes, capital income taxes and taxes levied on capital costs. In our framework, cutting the capital income tax (reducing the double taxation of dividend income) financed by a higher payroll tax turns out to be superior, such a policy mix fosters both employment and growth. Most other tax reforms imply a trade-off between employment and growth.     

Employment Protection and Unemployment Benefits: On Technology Adoption and Job Creation in a Matching Model

We analyse the effects of different labour‐market policies (employment protection, unemployment benefits, and payroll taxes) on job creation and technology choices in a model where firms are matched with workers of different productivity and wages are determined by ex post bargaining. The model is characterized by two intertwined sources of inefficiency, namely a matching externality and a hold‐up externality associated with the bargaining strength of workers. The results depend on the relative importance of the two externalities and on worker risk aversion. “Flexicurity”, meaning low employment protection and generous unemployment insurance, can be optimal if workers are sufficiently risk‐averse and the hold‐up problem is relatively important.     

Redistribution and employment policies with endogenous unemployment

We study optimal redistribution policy in an economy with three types of unemployed persons: those unable to work, the voluntarily unemployed, and the involuntarily unemployed. Both voluntary and involuntary unemployment are endogenous. Voluntary unemployment arises because individuals have different preferences, while involuntary unemployment results from frictions in the labour market or from an efficiency wage. We consider the employment policies of a well-informed government when it can and cannot commit to its policies. The model is simple, yet rich enough to reflect real-world policies, including transfers to the disabled, welfare for non-working employables, unemployment insurance, employment subsidies, and taxes on workers and firms.