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.     

PUBLIC GOOD PROVISION AND THE COMPARATIVE STATICS OF OPTIMAL NONLINEAR INCOME TAXATION*

Comparative static properties of the solution to an optimal nonlinear income tax problem are provided for a model in which the government both designs an income tax schedule for redistributive purposes and provides a public good optimally. There are two types of individuals, distinguished by their skill levels, who have the same quasilinear preferences for labor supply and the consumption of a private and a public good. Comparative statics are obtained for the weights in a weighted utilitarian social welfare function, the prices of the two goods, a taste parameter that measures the onerousness of working, and the skill levels.     

Optimal Utilitarian Taxation and Horizontal Equity

We impose a horizontal equity restriction on the problem of finding the optimal utilitarian tax mix. The horizontal equity constraint requires that individuals with the same ability have to pay the same amount of taxes regardless of their preferences for leisure. Contrary to normal findings, we find that a good that is complementary to leisure can be encouraged by the tax system and that a good that normally should be discouraged by the tax system can be subsidized even if the economy is composed of only two private commodities plus leisure. Also, the marginal effective tax rate can be different from zero at the top of the ability distribution when the tax mix obeys the horizontal equity constraint.     

On the optimal income taxation: Some further numerical results

Using numerical calculations we show in the optimal income tax model that a realistic value for the elasticity of substitution between consumption and leisure (?=0.5) leads to conclusions different from some of those drawn by Mirrlees (1971) and Atkinson (1973). The marginal tax rates are not so low and the shape of the tax schedule is for a great majority of the population substantially nonlinear. A new feature in our calculations is that both results come out without going to maximin, as done by Atkinson (1973). We study in special cases the locality of the zero limit of the marginal tax rate at the upper end of the ability distribution and we achieve a very definite conclusion: this result is really very local. We also present an interesting approximation result concerning the relationship between the level of the government revenue and the marginal tax rate for individuals with high ability. An important methodological remark analogous to Sen's critique on the ethical measures of inequality is made on the interpretation of optimal income tax calculations.     

Optimal time-consistent fiscal policy under endogenous growth with elastic labor supply

We explore the implications of incorporating an elastic labor supply in an endogenous growth economy when characterizing the time-consistent Markov policy. We consider two policy instruments: an income tax rate and the split of government spending between consumption and production services. The Markov-perfect policy implies a higher income tax rate and a larger proportion of government spending allocated to consumption than those chosen under a commitment constraint on the part of the government. As a consequence, economic growth is slightly lower under the Markov-perfect policy than under the Ramsey policy. Under the Markov and Ramsey optimal policies, a higher weight of leisure in households' preferences leads to a lower optimal income tax rate and a lower proportion of public resources devoted to consumption. We also show that the policy bias that would arise when imposing a Markov policy designed ignoring the presence of leisure in the utility function would lead to a significant welfare loss.     

Is commodity taxation unfair?

In a model where agents have unequal skills and heterogeneous preferences about consumption goods and leisure, this paper studies how to combine commodity taxes and non-linear income tax. It proposes a particular social welfare function on the basis of fairness principles. It then derives a simple criterion for evaluating the social welfare consequences of various tax schedules. Under the proposed approach, the optimal tax should have no commodity tax for some range of consumptions, and income redistribution would feature high subsidies to the working poor. It is also shown that, even when the income tax fails to be optimal, commodity taxes may not improve social welfare.     

Jointly Optimal Taxes and Enforcement Policies in Response to Tax Evasion

Assuming the government cannot fully observe either individual types or incomes and jointly picks optimal taxes and audit policies against evasion can significantly alter standard results from optimal income taxation and tax‐evasion models, which treat these separately. We consider this when individuals differ in their risk preferences and incomes. Given the resulting complexity, supplementing analytic results with numerical analysis helps explain the structure of the resulting policies and how they change when the distribution of income or the revenue requirements of the government change. We do this analysis with and without audit errors and with incomes exogenous or affected by occupational choice.     

Conspicuous Leisure: Optimal Income Taxation When Both Relative Consumption and Relative Leisure Matter*

In previous studies on public policy under relative‐consumption concerns, leisure comparisons have been ignored. In this paper, we consider a two‐type optimal non‐linear income tax model, in which people care about both their relative consumption and their relative leisure. Increased consumption positionality typically implies higher marginal income tax rates for both ability types, whereas leisure positionality has an offsetting role. However, this offsetting role is not symmetric; concern about relative leisure implies a progressive income tax component (i.e., a component that is larger for the high‐ability type than for the low‐ability type). Leisure positionality does not modify the policy rule for public‐good provision.     

Are income and consumption taxes ever really equivalent? Evidence from a real-effort experiment with real goods

The public finance literature demonstrates the equivalence between consumption and labor-income (wage) taxes. We introduce an experimental paradigm in which individuals make real labor-leisure choices and spend their earned income on real goods. We use this paradigm to test whether a labor-income tax and an equivalent consumption tax lead to identical labor-leisure allocations. Despite controlling for subjects' work ability and inherent labor-leisure preferences and disallowing saving, subjects reduce their labor supply significantly more in response to an income tax than to an equivalent consumption tax. We discuss the economic implications of a policy shift to a consumption tax.     

Income tax policy and lifetime labor supply

A progressive income tax structure provides incentives for individuals to alter their rate of work and their age of retirement. Compared to a zero tax or proportional tax equilibrium, progressive taxation induces individuals to take less leisure in the form of retirement in exchange for more leisure during the worklife, especially at high wage levels. The imposition of a special pension tax provision on top of a progressive tax structure offsets the distortion on leisure alternatives imposed by progressivity. Indeed, the pension tax deferral provision can neutralize the impact of tax progressivity on the work profile over life. The magnitude of these tax inducements in the U.S. tax structure are non-trivial and therefore are expected to alter labor supply decisions over the lifetime. The model finds empirical support using data from the Social Security Newly Entitled Beneficiaries Survey.     

Optimal marginal and average income taxation under maximin

Using the Mirrlees optimal income tax model under maximin, we derive fairly mild conditions for a decreasing marginal tax rate throughout the skill distribution with no bunching, a strictly concave tax function in income and a single-peaked average tax schedule. Assuming additive preferences and an isoelastic disutility of labor function, these tax profiles are implied by aggregate skills that are non-decreasing with the skill level. If preferences are quasilinear in leisure or in consumption, these tax profiles are also obtained under a large set of skill distributions.     

TARIFF FORMATION IN A MULTIDIMENSIONAL VOTING MODEL*

The theory of endogenous trade policy formation argues that tariffs emerge from the political process. This occurs because of conflicting economic interests trying to redistribute income in their favor through the adoption of suitable trade policies. Mayer and Riezman (1987) questioned this view arguing that if individuals differ only in factor ownership they would always prefer some tax/subsidy policy to tariffs. Here we allow individuals to differ not only with respect to factor ownership, but also with respect to consumption preferences and income tax treatment. We show that tariffs might be the social decision even though nobody's individual preferences suggest tariffs as the best choice.     

The Social Marginal Valuation of Income: Australian Estimates from Government Behaviour*

Alternative public policies frequently incorporate distributional goals. The elasticity of the social marginal valuation of income, ε, can help to derive welfare weights for different individuals in different income groups. Estimates are presented of the elasticity of the social marginal valuation of income implied by the Australian personal income tax, in the period 1968–69 to 1975–76. Both equal absolute (EAS) and equal proportional sacrifice (EPS) models are used to infer the elasticity values. Using taxable income as a proxy for income, the consistent value of ε under EAS was found to range from 2.07 to 2.57; the EPS range was 1.76 to 2.40. A number of considerations suggested a best-guess magnitude of about 2.2. Caution is urged in the interpretation and use of these results.     

Fair Income Tax

In a model where agents have unequal skills and heterogeneous preferences over consumption and leisure, we look for the optimal tax on the basis of efficiency and fairness principles and under incentive-compatibility constraints. The fairness principles considered here are: (1) a weak version of the Pigou–Dalton transfer principle; (2) a condition precluding redistribution when all agents have the same skills. With such principles we construct and justify specific social preferences and derive a simple criterion for the evaluation of income tax schedules. Namely, the lower the greatest average tax rate over the range of low incomes, the better. We show that, as a consequence, the optimal tax should give the greatest subsidies to the working poor (the agents having the lowest skill and choosing the largest labour time).     

Government size and macroeconomic stability: A comment

We show that in a standard, technology shock-driven one-sector real business cycle model, the stabilization effects of government fiscal policy depend crucially on how labor hours enter the household's period utility function and the associated labor-market behavior. In particular, as Galí [European Economic Review 38 (1994), 117-132] has shown, when the household utility is logarithmic in both consumption and leisure, income taxes are destabilizing and government purchases are stabilizing. However, the results are reversed when preferences are instead convex in hours worked. That is, income taxes are now stabilizing and public spending is destabilizing. Furthermore, under both preference specifications, the magnitude of cyclical fluctuations in output remains unchanged when the income tax rate and the share of government purchases in GDP are equal (including laissez-faire).     

Self-selection and Pareto efficient taxation

This paper analyses the set of Pareto efficient tax structures. The formulation of the problem as one of self-selection not only shows more clearly the similarity between this problem and a number of other problems (such as the optimal pricing of a monopolist) which have recently been the subject of extensive research, but also allows the derivation of a number of new results. We establish (i) under fairly weak conditions, randomization of tax structures is desirable; (ii) if different individuals are not perfect substitutes for one another in production, then the general equilibrium effects—until now largely ignored in the literature—of changes in the tax structure may be dominant in determining the optimal tax structure; in particular if the relative wage of high ability and low ability individuals depends on the relative supplies of labor, the optimal tax structure entails a negative marginal tax rate on the high ability individuals, and a positive marginal tax rate on the low ability individuals (the marnitude of which depends on the elasticity of substitution); (iii) if individuals differ in their preferences, Pareto efficient taxation may entail negative marginal tax rates for high incomes; while (iv) if wage income is stochastic, the marginal tax rate at the upper end may be 100%.Our analysis thus makes clear that the main qualitative properties of the optimal tax structure to which earlier studies called attention are not robust to these attempts to make the theory more realistic.     

Poverty alleviation and tax policy

This paper examines public good provision and tax policy—optimal non-linear income taxation and linear commodity taxation—when the government departs from purely welfarist objective function and seeks to minimise poverty. This assumption reflects much policy discussion and may help understand some divergences of practical tax policy from lessons in optimal tax analysis. In contrast to Atkinson and Stiglitz (J. Public Econom. 6 (1976) 55), it may be optimal to use differentiated commodity tax rates, including the taxation of savings, even if preferences are separable in goods and leisure. The optimal effective marginal tax rate at the bottom of the distribution may be negative, suggesting that wage subsidy schemes can be optimal. Finally, optimal provision of a public good is analysed under poverty minimisation.     

Time-consistent taxation in a dynastic family model with human and physical capital and a balanced government budget

Abstract .  This paper analyzes optimal, time consistent taxation in a dynastic family model with human and physical capital and with a balanced government budget. When tax revenue is used for publicly provided consumption or lump-sum transfers, leisure would be higher than its social optimum. Pareto optimal taxation requires taxing capital income more heavily than labour income and subsidizing investment at the same rate of the tax. Also, it requires either subsidizing labour at the same rate as a consumption tax or subsidizing consumption at the same rate as a labour income tax, and hence it is not a practical guide to policy. Further, a consumption tax, or equivalently a uniform income tax with investment subsidies at the same rate, can be improved on by taxing capital income more heavily than labour income.     

An explicit solution to an optimal tax problem

Under specific but perhaps not over-restrictive assumptions on social welfare and consumer preferences, an explicit closed-form solution for an optimal linear income tax is derived. Specifically, given linear income supply functions and a rank-order social welfare function, the optimal tax rate and benefit level are characterized by four parameters: I, a measure of pre-tax inequality in the ability (wage) distribution; r, the fraction of potential total income required for (non-redistributed) government revenue; σ, the fraction of potential total income required for consumer subsistence expenditures; and a disincentive parameter, δ, the marginal propensity to spend on leisure or the amount by which earned income is reduced in response to a unit increase in unearned benefit. Defining , the ratio I/(1 - σ - r), the optimal tax rate τ is given by: The formula is used to fully characterize τ in terms of the parameters. Results include the following: τ = 0 if I = 0; τ = 1 if δ = 0; τ is increasing in I, σ and r; τ may be increasing or decreasing in δ depending on the value of ; when disincentive effects are large, τ becomes close to so that, in such economies, if σ and r are small, the optimal tax rate is equal to the measure of pre-tax inequality. Formulae for the deadweight loss associated with the tax are derived and some observations are offered on the empirical issues associated with the model.     

Do Distortionary Taxes Always Harm Growth?

This paper examines the long-run effects of capital income taxes, labor income taxes, and expenditure taxes in an R&D-based model of endogenous growth with endogenous labor supply. The main contribution of this paper is to investigate how tax effects on long-run growth are influenced by the emergence of indeterminate equilibria. Indeterminacy in this instance arises due to nonseparable preferences between consumption and leisure, in conjunction with prior distortionary taxes. In contrast to conventional wisdom, we show that higher distortionary taxes improve long-run growth, as well as social welfare, when the steady state is indeterminate.