Optimal unemployment insurance and redistribution

We characterize optimal income taxation and unemployment insurance in a search‐matching framework where both voluntary and involuntary unemployment are endogenous and Nash bargaining determines wages. Individuals decide whether to participate as job seekers and if so, how much search effort to exert. Unemployment insurance trades off insurance versus search and participation incentives. We also allow for different productivity types so there is a redistributive role for the income tax and show that a piecewise linear wage tax internalizes the macro effects arising from endogenous wages. Type‐specific lump‐sum taxes and transfers can then redistribute between individuals of differing skills and employment states. Our analysis embeds optimal unemployment insurance into an extensive‐margin optimal redistribution framework where transfers to the involuntarily and voluntarily unemployed can differ, and nests several standard models in the literature.     

The distribution of abilities and the progressive income tax

This paper develops a model of endogenous labor supply, where agents are uncertain about their future wages. Assuming risk aversion, some redistributive taxation is thus warranted. It is shown that, for a particular parameterization of the tax system, an optimally progressive income tax exists. Comparative ststics analysis demonstrates how this tax system is effected by changes in the wage distribution. The paper ends with a discussion of whether an optimally progressive income tax can be politically sustained. It is shown that generally this is not the case in a political system with majority voting.     

Redistributive taxation in a simple perfect foresight model

We investigate the redistributive potential of capital taxation in an intertemporal maximizing model of capital formation. First, even unanticipated redistributive capital taxation is severely limited in its effectiveness since it depresses wages. Second, under any convergent redistributive tax policy which maximizes a Paretian social objective, the capital income tax will converge to zero, independent of the factor supply elasticities. These results are independent of workers' holdings of capital.     

Second‐Best Taxation of Incomes and Non‐Labor Inputs in a Model with Endogenous Wages

This paper considers a Mirrleesian optimal income tax model wherein labor inputs are not perfect substitutes and their wages are determined endogenously. It shows: (i) If skilled and unskilled workers are Edgeworth complements, skilled workers will necessarily face a marginal subsidy and unskilled workers a marginal tax on their incomes (these may not be the case if skilled and unskilled workers are Edgeworth substitutes); and (ii) redistributive concerns call for taxation of those inputs whose elasticity of complementarity with skilled labor is larger than with unskilled labor, and subsidization of those whose elasticity of complementarity is smaller.     

Comparative Statics of Optimal Nonlinear Income Taxation with a Publicly Provided Input and a Nonlinear Production Technology

Comparative static properties of the solution to an optimal nonlinear income tax problem are provided for a model in which the government both designs a redistributive income tax schedule and provides a public input for a nonlinear production technology. These assumptions imply that wage rates are endogenous. The endogeneity of the wages necessitates taking account of general equilibrium effects of changes in the parameters of the model that are not present when the technology is linear.     

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.     

Redistribution and education subsidies are Siamese twins

We develop models of optimal linear and non-linear income taxation with endogenous human capital formation to explore optimal education subsidies. Optimal subsidies on education ensure efficiency in human capital accumulation and thus play an important role in alleviating the tax distortions on learning induced by redistributive policies. If the government cannot verify all investments in human capital, education policy offsets some but not all tax-induced distortions on learning. Non-pecuniary educational costs (benefits) may increase (decrease) subsidies on education, especially if they are complementary to work effort.     

Redistribution and entrepreneurship with Schumpeterian growth

We examine the effects of redistributive taxation on growth and inequality in a Schumpeterian model with risk-averse agents. There are skilled and unskilled workers, and the growth rate is determined by the occupational choice of skilled agents between entrepreneurship and employment. We show that redistribution provides insurance to entrepreneurs and increases the growth rate. The effects on inequality are such that low tax rates increase inequality relative to laissez-faire due to changes in wages, but higher tax rates can simultaneously raise growth and reduce inequality. We contrast the optimal linear income tax with alternative policies for promoting R&D and find that it is preferable on both equity and efficiency grounds.      

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.     

Production Efficiency and the Direct-Indirect Tax Mix

In the design of the optimal direct/indirect tax mix, the canonical view was laid by Atkinson and Stiglitz (1976) who showed that commodity taxes are unnecessary in an economy in which there is an optimal nonlinear income tax provided that commodities are separable from labor in the utility functions of all taxpayers, that the aggregators over these commodities are ordinally equivalent and that wages are fixed. When wages are endogenous, Naito (1999) showed that this result may not hold and in addition that production efficiency may not be Pareto optimal. Given an optimal nonlinear income tax, we show that production inefficiency is Pareto optimal if the aggregate technology set is strictly concave. The Atkinson–Stiglitz condition is neither necessary nor sufficient for zero commodity taxation and commodity taxes are part of almost all Pareto optima.     

Labor supply,uncertainty, and efficient taxation

We analyze the structure of an optimal linear income tax when workers are uncertain about their wages at the time they choose their labor supplies. Background for the normative analysis is provided by an outline of the positive theory of wage taxation and labor supply under uncertainty. It is then shown that given imperfect information about wages, lump-sum taxation is not necessarily efficient. Because a wage tax reduces the riskiness of wage income, some combination of a lump-sum tax and a wage tax generally will minimize excess burden.     

On Optimal Commodity Taxes When Consumption Is Time Consuming

This paper studies the problem of optimal taxation of commodities when consumption is a time‐consuming activity. This is done under two distinct preference separability assumptions: between goods and labor supply, and between goods and leisure. It argues that with the labor separability, the traditional uniform taxation results of optimal tax theory continue to hold. With leisure separability, on the other hand, consumption time is a major ingredient of optimal tax rates. However, the relationship between consumption time and optimal tax rates depends crucially on the representation of the economy. In representative consumer economies, time differences determine the pattern of optimal tax rates so that goods whose consumption take more time are subjected to higher tax rates. When individuals have different earning abilities, redistributive, incentive, and efficiency considerations also come into play resulting in a complex relationship. The paper derives formulas for optimal commodity taxes in this case on the basis of three different tax structures: linear commodity taxes in combination with linear and nonlinear income taxes, and nonlinear commodity taxes in combination with nonlinear income taxes.     

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.     

TAXATION AND CENTRALISED WAGE SETTING: THE CASE OF ENDOGENOUS LABOUR SUPPLY

The implications of centralised wage setting for the relationship between taxation, wages and employment are studied allowing for endogenous adjustment in work hours. We show that centralisation promotes wage moderation, makes wages and employment less sensitive to changes in wage taxation and reduces the hours worked. With an individual supply of working hours, a wage tax can even improve employment if wage setting is centralised and marginal utility from a public good is sufficiently high. Moreover, if a profit tax is used to finance public expenditure, higher tax reduces wages and improves employment.     

Environmental taxes with heterogeneous consumers: an application to energy consumption in France

This paper constructs a model with four groups of households who have preferences over labor supply, consumption of polluting (energy related) and non-polluting (non-energy) goods, and emissions. It quantifies the model for the French economy and computes its optimal tax equilibria under nine second-best tax regimes. We find that the redistributive role of environmental taxes requires the polluting goods to be taxed at a rate much below their marginal social damage. These goods may even require an outright subsidy if the society values equality ‘a lot’. Secondly, if environmental taxes that have an exclusively externality-correcting role, they benefit all types—although the gains are rather modest. The gains and losses become more substantial when environmental taxes have a redistributive role as well. Third, setting the environmental tax at its Pigouvian level, rather than its optimal externality-correcting-cum-redistributive level, benefits the high-income group at the expense of the low-income groups. Fourth, nonlinear taxation of polluting goods, and nonlinear commodity taxation in general, is a powerful redistributive mechanism. Fifth, introducing environmental taxes in the current French tax system, with its suboptimal income taxes, results in substantial welfare gains for the highest income group and a sizable loss for the least well-off persons.     

Redistributive taxation with heterogeneous relative consumption concerns

Abstract This paper studies the impact of redistributive income taxation in a society where only some individuals are motivated by relative consumption concerns. Introducing this heterogeneity raises theoretical challenges since (i) earned income becomes an imperfect indicator of underlying ability and (ii) relative concerns may be inadmissable in the social objective. A new behavioural model is developed in which only relatively‐concerned individuals choose work effort strategically. Linear tax/transfer systems schemes are then characterized and simulated for a series of welfarist and non‐welfarist social objectives, and for different degrees of preference heterogeneity. A key result is that a government which understands the extent of relative consumption concerns–but places no social weight on individuals with such preferences–nevertheless sets a significantly more progressive tax system than a government which ignores relative consumption motivations altogether.     

On indeterminacy and growth under progressive taxation and productive government spending

We examine the theoretical interrelations between equilibrium (in)determinacy and economic growth in a one‐sector representative‐agent model of endogenous growth with progressive taxation of income and productive flow of public spending. We analytically show that, if the demand‐side effect of government purchases is weaker, the economy exhibits an indeterminate balanced‐growth equilibrium and belief‐driven growth fluctuations when the tax schedule is sufficiently progressive or regressive. If the supply‐side effect of public expenditures is weaker, indeterminacy and sunspots arise under progressive income taxation. In sharp contrast to traditional Keynesian‐type stabilization policies, our analysis finds that raising the tax progressivity may destabilize an endogenously growing economy with fluctuations driven by agents’ self‐fulfilling expectations.     

Teach a man to fish? Education vs. optimal taxation

Abstract In models of redistribution, differences in human capital are often the relevant source of heterogeneity among individuals. Presumably, the distribution of human capital can be manipulated through education spending. This paper examines the use of education as a redistributive tool when there is a non‐linear tax system in place. The results show that taxation, whether under full or asymmetric information, substantially reduces the redistributive role of education spending in maximizing social welfare. This points to a conflict between the equalization of utility and human capital outcomes.     

Optimal mixed taxation,public goods and the problem of high-skilled emigration

The optimal income tax model under the threat of migration of Simula and Trannoy (J Public Econ 94:163–173, 2010; Soc Choice Welf 39(4):751–782, 2012) is extended to include indirect taxes and public goods. This enables us to conclude that: (1) optimal income tax rates are higher than in the absence of indirect taxation, and may be positive at the top of the skills distribution; (2) indirect taxes, à la Corlett and Hague, may help mitigate the loss of redistributive capacity arising from income taxation caused by migration threats; (3) migration encourages the provision of the public goods preferred by the most productive workers; (4) optimal tax and public goods provision policies against the emigration of the highly-skilled are connected through the conditions for Pareto efficiency; (5) if the number of potential migrators is large, it may be desirable to violate classical tax rules to retain the most able in the home country; (6) when migration costs are exogenously given and utility is weakly separable, Simula and Trannoy’s results are restored; (7) if migration costs are endogenous, the Atkinson and Stiglitz theorem breaks down and the taxation of country-specific goods becomes desirable, even if utility is strongly separable.     

When redistribution makes personalized pricing of externalities useless

We consider a standard optimal taxation framework in which consumers' preferences are separable in consumption and labor and identical over consumption, but are affected by consumption externalities. For every nonlinear, income-dependent pricing of goods there is a linear pricing scheme, combined with an adjusted income tax schedule, that leaves all consumers equally well-off and weakly increases the government's budget. The result depends on whether a linear pricing scheme exists that keeps the aggregate amount of consumption at its initial level observed under nonlinear pricing. We provide sufficient conditions for the assumption to hold. If adjusting the income tax rate is not available, personalized prices for an externality can enhance social welfare if they are redistributive, that is, favor consumers with a larger marginal social value of income.