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.     

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.     

Marginal Tax Rate Uncertainty and Wage Indexation

Frequent changes in American tax laws over the last 30 years have led to uncertainty regarding the marginal tax rate on labour income. Using a multisector framework, this paper considers the implications of the tax rate uncertainty for wage flexibility. The Fiscal Authority sets the marginal wage tax rate, and is assumed to be the leader in a Stackelberg game. Wage setters in this game determine the degree of optimal indexation and are assumed to be followers. Increases in tax rate uncertainty lead to greater nominal wage flexibility, and a decrease in optimal progressivity. Additionally, indexation to nominal shocks is complete even if the product market is monopolistically competitive.     

Is the Optimal Labor Income Tax Progressive in a Unionized Economy?*

This paper concerns optimal nonlinear labor income taxation in an economy with union wage setting and endogenous hours of work. The purpose is to study the determinants of tax progression. We show that the optimal degree of progression of the labor income tax depends on the extent to which the government can influence the wage rate via tax policy as well as on its ability to redistribute income across individuals. In addition, the argument for progressive labor income taxation depends on whether hours of work are chosen by the employed themselves or the union.     

The effect of potential emigration on the optimal linear income tax

This paper amends a standard model of optimal linear income taxation to allow individuals to escape taxation by migrating. The income tax is used only to redistribute income in this model. It is found that, if individuals with low and high ability levels are prevented from migrating, then the optimal marginal tax and poll subsidy increase. But preventing migration at ability levels in some intermediate interval lowers the optimal marginal tax.     

Optimal income tax under the threat of migration by top-income earners

We examine how allowing individuals to emigrate to pay lower taxes changes the optimal nonlinear income tax scheme in a Mirrleesian economy. An individual emigrates if his domestic utility is less than his utility abroad, net of migration costs — utilities and costs both depending on productivity. A simple formula, that complements Saez's formula obtained in closed economy, is derived for the marginal tax rates faced by top-income earners. It depends on the labour elasticity, the tax rate abroad and the migration costs expressed as a fraction of the utility obtained abroad. The Rawlsian marginal tax rates, obtained for the whole population, illustrate a curse of the middle-skilled. Simulations are provided for the French economy.     

Identifying Laffer Bounds: A Sufficient‐Statistics Approach with an Application to Germany

We derive a simple sufficient‐statistics test for whether a nonlinear tax‐transfer system is second‐best Pareto efficient. If it is not, then it is beyond the top of the Laffer curve and there exists a tax cut that is self‐financing. The test depends on the income distribution, extensive and intensive labor supply elasticities, and income effect parameters. A tax‐transfer system is likely to be inefficient if marginal tax rates are quickly falling in income. We apply this test to the German tax‐transfer system, and we find that the structure of effective marginal tax rates is likely to be inefficient in the region where transfers are phased out.     

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.     

FBT: How to Structure Remuneration Packages for 1986–87

The purpose of this article is to determine the optimal structure of remuneration packages in the new fringe benefits tax (FBT) environment. We will describe precisely how the optimal structure of remuneration packages depends upon the (marginal) rates of FBT, personal income tax and corporate tax. The fundamental decision rule for employers and employees to optimise the value of remuneration packages is quite simple. First substitute the FBT rate, f, and the employer's marginal tax rate, t, into I = f(1 + f - t)^-1. Then if the employee's marginal tax rate i is greater than I the employer should provide any benefits until i falls to the value I. At or below this point the employee would be better off to provide all subsequent benefits.     

Externalities and optimal taxation

This paper reexamines the optimal tax design problem (income and commodities) in the presence of externalities. The nature of the second–best, and the choice of the tax instruments, are motivated by the informational structure in the economy. The main results are: (i) environmental levies (linear or nonlinear) differ in formula from Pigouvian taxes by the expressions for the optimal tax on private goods; (ii) externalities do not affect commodity tax formulas (linear and nonlinear) for private goods; (iii) externalities do not affect the income tax structure if commodity taxes are nonlinear and affect it if commodity taxes are linear; and (iv) a general income tax plus strictly Pigouvian taxes are sufficient for efficient taxation if individuals of different types have identical marginal rates of substitution (at any given consumption bundle).     

Optimal Nonlinear Redistributive Taxation and Public Good Provision in an Economy with Veblen Effects

This paper deals with the consequences of the assumption of negatively interdependent preferences for the shape of the optimal nonlinear income tax and the efficient level of public good provision in a setting where the agents' market ability is private information. The analysis points out that the terms added in the tax formulas due to the presence of Veblen effects might justify a reduction in the optimal marginal tax rates faced by the different individuals. Also, the desirability of negative marginal tax rates cannot be ruled out. With respect to the issue of the optimal level of public good provision, I derive a modified Samuelson rule and highlight the fact that the Veblen‐based part of the formula might require to distort downwards the efficient level of public good provision.     

Wage endogeneity,tax evasion,and optimal nonlinear income taxation

This paper studies the interaction between tax evasion and wage endogeneity within a Mirrleesian optimal tax framework. It characterizes the optimal marginal income tax rates on the skilled and the unskilled workers and the optimal amount of resources to be spent on deterring tax evasion. It shows that tax evasion weakens the incentives for the government to manipulate the marginal tax rates for the purpose of exploiting general equilibrium effects on wages. Moreover, the extent of this depends on the curvature of the evasion cost function. It also argues that marginal income tax rates are likely to be higher when the government attempts to deter evasion.     

Distribution of tastes and skills and the provision of local public goods

This paper introduces into the Tiebout model individuals with different skills. It is shown that the production techniques, the distribution of tastes and skills and intercommunity trade will affect the pattern of communities. In the suggested model competition with local public goods is Pareto optimal: communities will not be composed of identical people. The optimal solution requires that every community will tax everybody according to his marginal social cost. A Pareto efficient redistribution policy can be carried out only by a central government using lump-sum taxes. A federal income tax will affect community patterns and therefore is inefficient.     

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 pollution taxation in a Cournot duopoly

It is well known that the optimal pollution tax in a competitive industry is equal to the marginal damage inflicted by the pollution. It has also been shown that the optimal pollution tax on a monopoly is less than the marginal damage. In this paper, I derive the optimal pollution tax for a Cournot duopoly. If firms have different production costs, the optimal tax rate may exceed the marginal damage. This is so because the tax may be an effective instrument for allocating production from the less to the more efficient firm. It is also shown that, if one firm has a positive most preferred pollution tax, the sum of consumer and producer surpluses will be declining in the tax at this level.     

Environmental Goods and Measures for Their Promotion: An Analysis Using a Fair Wage Model

In this paper, we model a two‐sector small open economy with emissions and unemployment associated with the fair wage effort hypothesis, and investigate the environmental and employment impact of an emission tax, a subsidy for purchasing environmental goods in the downstream polluting industry, and a subsidy to the upstream eco‐industry. We then show that if the eco‐industry is skilled labor intensive relative to the polluting final goods industry, while a subsidy for purchasing environmental goods decreases the unemployment rate of unskilled labor, it may increase total emissions. In contrast, the emission tax and the subsidy to eco‐industry firms worsen the unemployment rate, though both policies decrease total emissions. Hence, if the emission tax is set equal to the marginal environmental damage, and either a downstream or upstream subsidy is used to mitigate unskilled unemployment, the optimal subsidy to purchase the goods is positive whereas the optimal subsidy to the eco‐industry is negative, i.e., a tax on the eco‐industry.     

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 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.     

AN APPROXIMATION FOR THE OPTIMAL LINEAR INCOME TAX RATE

This paper derives a convenient method of calculating an approximation to the optimal tax rate in a linear income tax structure. Individuals are assumed to have Cobb-Douglas preferences and the wage rate distribution is lognormal. First, the optimal tax rate is shown, for a general form of social welfare function, to be the smallest root of a quadratic equation involving a welfare-weighted average wage rate. Second, an approximation to this average is derived for an isoelastic social welfare function. This average depends on the degree of inequality aversion of the welfare function and the coefficient on consumption in individuals' utility functions. Calculations show that the method performs well in comparison with standard simulation methods of computing the optimal tax rate.     

Conditional Earnings Subsidies for Low Earners

In order to be eligible for in-work tax credits, it is often not enough to have low earnings. In Ireland, New Zeand the United Kingdom, for example, for eligibility, it is also required that the number of hours worked is sufficiently high. Similarly, in Belgium and France, the hourly wage rate must be sufficiently low. In this paper, I provide a justification for such additional conditions. I analyze Pareto-efficient redistribution from high to low ability individuals in a model where labor has several intensive margins. Besides labor hours, labor effort – a vector of unpleasant, but productive features of labor – is also an object of choice. Effort and ability determine the hourly wage rate. I find that conditional subsidies on earnings for low earners are optimal: the earnings of low earners should be subsidized at the margin, but only if they earn more by working more hours at a sufficiently low wage rate.