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.     

Optimal Nonlinear Income Taxation with Habit Formation

It has recently been shown that incorporating “keeping up with the Joneses” preferences into a prototypical two‐ability‐type optimal nonlinear income tax model leads to higher marginal tax rates for both types of agents. In particular, the high‐skill type faces a positive marginal tax rate, rather than zero as in the conventional case. In this paper, agents’ utility functions are postulated to exhibit “habit formation in consumption” such that the prototypical two‐ability‐type optimal nonlinear income tax model becomes a dynamic analytical framework. We show that if the government can commit to its future fiscal policy, the presence of consumption habits does not affect the standard results on optimal marginal tax rates. By contrast, if the government cannot precommit, the high‐skill type will face a negative marginal tax rate, while the low‐skill type’s marginal tax rate remains positive.     

Voting over selfishly optimal tax schedules: Can Pigouvian tax redistribute income?

This paper studies pairwise majority voting over selfishly optimal nonlinear income tax schedules proposed by a continuum of individuals who differ in privately observable skills and make consumption comparisons, which creates a negative positional externality. It shows that the tax schedule preferred by the median skill type will win the voting contest. Given a reference consumption defined as the average consumption in the population, all skills face the same Pigouvian tax rate in the utilitarian optimum, whereas in selfish optima high skills face a Pigouvian tax rate larger than that facing low skills, generating a novel income redistributive effect. Under a constant elasticity of labor supply, two more results are obtained. First, for Pareto, Champernowne, Weibull, and lognormal skill distributions, the selfishly optimal tax schedule facing high (low) skills tends to be more progressive when the bottom‐skill's (top‐skill's) status concern intensifies. Second, it identifies the conditions under which, in the voting equilibrium, high skills face higher marginal tax rates while low skills face lower ones than what they face in the utilitarian optimum.     

Optimal taxation over the life cycle

We derive the optimal labor income tax schedule for a life cycle model with deterministic productivity variation and complete asset markets. An individual chooses whether and how much to work at each date. The government must finance a given expenditure and does not have access to lump sum taxation. We develop a solution method that uses the primal approach to solve for the optimal non-linear tax function. The average tax rate determines when an individual will work while the marginal tax rate determines how much she will work. Even in the absence of redistributive concerns, the optimal tax schedule has an increasing average tax rate at low levels of income to encourage labor market participation. The marginal tax rate at the top is strictly positive. Finally, the model is used to assess the effects of changing the current tax schedule to the optimal one. Under the preferred parameters, this delivers a welfare gain equivalent to 0.67 percent of lifetime consumption.     

Relative Consumption Concerns and the Optimal Tax Mix

This paper studies the optimal tax mix (taxes on income and commodities) under asymmetric information in a two‐type model, when individuals make relative consumption comparisons. The model includes both positional and nonpositional goods, taking into account the fact that relative concerns matter for some but not for all commodities. We find that in general the whole tax system is affected by the externalities caused by the consumption of positional goods, notably also the taxes on income and on a nonpositional good. The tax rates on positional goods are higher than in the absence of status effects, reflecting their Pigouvian role. The sign of the Pigouvian part in the income tax schedule is ambiguous and depends crucially on whether status goods are complements or substitutes to leisure.     

The growth effects of tax rates in the OECD

This paper explores the merits of macro‐ and micro‐based tax rate measures within an open economy “fiscal policy and growth” model. Using annual data for 15 OECD countries we find statistically small, non‐robust long‐run growth effects of macro‐based average tax rates on capital income and consumption, but some evidence for average labour income tax effects. Changes in “micro” marginal income tax rates at both the personal and corporate levels yield statistically robust GDP responses of modest size. Both domestic and foreign corporate taxes appear relevant. In general, tax effects on GDP operate largely via factor productivity rather than factor accumulation.     

INCOME TAXES AND THE COMPOSITION OF PAY: EVIDENCE FROM THE BRITISH HOUSEHOLD PANEL SURVEY

According to the standard principal‐agent model, the optimal composition of pay should balance the provision of incentives with the individual demand for insurance. Do income taxes alter this balance? We show that the relative share of Performance‐related pay (PRP), on total pay is reduced by higher average and marginal income taxes. Empirical evidence based on the British Household Panel Survey is consistent with the theoretical predictions of the tax–augmented principal‐agent model. Our estimates suggest that a 10% reduction in the marginal income tax rate, holding the average tax rate constant, increases the share of PRP in total pay by 2.25–3.02%, depending on the empirical specification. Similarly, a 10% reduction in the average income tax rate, holding the marginal tax rate constant, increases the share of PRP in total pay by 5.10–5.27%.     

Effect of the Tax System ON R&D Intensity,Growth, Wages and Consumption Share

We propose a general equilibrium knowledge‐driven (semi‐)endogenous‐growth model with horizontal R&D, which is extended to consider two types of labour, skilled and unskilled, and exogenous government expenditure, financed through taxes on financial assets and on labour income, to analyse the implications of the tax system on R&D intensity, economic growth, wage inequality and consumption share in the output. In particular, we show that: (i) taxes have negative influence in the consumption share, being higher the marginal effect of the labour‐income tax; (ii) for any given government expenditure share, an increase (a decrease) in financial‐assets tax decreases (increases) the labour‐income tax; (iii) only the financial‐assets tax affects negatively the R&D intensity and the skill‐premium; thus, to reduce the skill‐premium the financial‐assets tax must increase; (iv) ignoring the effect on wage inequality and on R&D intensity, taxes are substitutes.     

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.     

Optimum Taxation of Each Year's Income

In this paper, a two‐type, two‐period model of optimum income taxation is investigated. I assume full commitment and that current income determines the agents' tax burden in each period. It is shown that such a tax system does not allow one to implement the optimal long‐term tax contract and that it implies positive marginal tax rates at the upper end of the income distribution.     

Optimal Dynamic Taxation with Distinctive Forms of Social Status Attainment

We examine the role of both consumption‐ and wealth‐induced social comparisons in setting dynamic optimal income taxation. Under complete information, state‐invariant labor income taxes are used to remedy the externality caused by consumption‐induced social comparisons, while state‐contingent capital income taxes are used to remedy the externalities caused by both consumption‐ and wealth‐induced social comparisons. Under incomplete information, distinct types of agents are subject to an identical marginal capital income tax, which removes social comparisons. To solve the information problem, low‐productivity agents could be subject to a lower marginal labor tax than high‐productivity agents, which contradicts the traditional result in the Mirrlees–Stiglitz models.     

Old‐age Social Security versus Forward Intergenerational Public Goods Provision

This paper introduces an overlapping‐generations model with earnings heterogeneity and borrowing constraints. The labour income tax and the allocation of tax revenue between social security and forward intergenerational public goods are determined in a bidimensional majoritarian voting game played by successive generations. The political equilibrium is characterized by an ends‐against‐the‐middle equilibrium where low‐income and high‐income individuals form a coalition in favour of a lower tax rate and less social security while middle‐income individuals favour a higher tax rate and greater social security. Government spending then shifts from social security to public goods provision if higher wage inequality is associated with a borrowing constraint and a high elasticity of marginal utility of youth consumption.     

Optimal top marginal tax rates under income splitting for couples

This paper provides formulas for optimal top marginal tax rates when couples are taxed according to income splitting between spouses, consumption is taxed, and the skill distribution is unbounded. Optimal top marginal income tax rates are computed for Germany using a dataset that includes the tax returns of all German top taxpayers. We find that the optimal top marginal tax rate converges to about 2/3 and convergence obtains at income levels that are substantially higher than those currently subject to the actual top tax rate.     

On the marginal excess burden of taxation in an overlapping generations model

We extend marginal excess burden (MEB) analysis in public finance literature to a dynamic general equilibrium model with incomplete markets and heterogeneous households. This extension allows us to quantitatively assess efficiency ranking and incidence of taxes. Our results indicate a disparity in welfare cost and distributional consequence of different forms of taxation on capital, labor and consumption. According to our MEB ranking, capital income taxation appears to be least efficient as it results in larger marginal excess burdens, compared to labor income tax and consumption tax. The tax incidence analysis shows variation of tax burdens across households, depending on their age, income type and generation. In particular, older households with higher income bear the highest burden of company income tax; meanwhile, future born households bear the highest burden of personal income tax. Hence, our MEB analysis demonstrates a fruitful approach to better understanding efficiency and incidence of tax reforms in one unified framework.     

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.     

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.     

Donations in a recursive dynamic model

Abstract.  This paper studies how donations respond to unexpected permanent changes in income and tax rates in a recursive dynamic model. The dynamic approach yields several interesting insights. If marginal tax rates are progressive, a permanent jump in a household's income increases its consumption and donations in the short run, but has no effect in the long run. The permanent income elasticity of current donations is likely to exceed one. If the marginal tax rate is flat, the jump in income raises consumption and donations in both the short and the long run. A permanent marginal tax rate cut raises consumption and donations in the long run if marginal tax rates are progressive, while it reduces donations in the short run if it has little direct impact on tax payments. If the marginal tax rate is flat, a tax cut has a positive effect on consumption in both the short and the long run, but has an ambiguous effect on donations.     

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.     

The choice of excise taxes when savings and labour decisions are distorted

The framework is a simple two period life-cycle model with identical individuals who work in period 1 and are retired in period 2. Initially there are optimally chosen uniform income and commodity tax rates, which lead to distortions in both the labour/leisure choice and the consumption/savings choice. The purpose is to demonstrate in an intuitively comprehensible way how differentiating commodity taxation by slightly increasing the tax on one consumption good can mitigate existing distortions. The sufficient conditions for a welfare improvement are similar to that of Corlett and Hague plus some conditions on average and marginal consumption propensities.