Optimal linear income taxation in the presence of emigration

This paper examines optimal linear income taxation when individuals are able to escape taxation by migrating. A model is presented in which closing the economy to migration must raise the optimal marginal tax. However, this result may be reversed under an alternative definition of a closed economy.     

Redistributive taxation as social insurance

The modern literature on nonlinear optimal taxation treats differences in income as being due to unobserved differences in ability. A striking result of this assumption is that high income agents should face a zero marginal tax rate. In this paper I assume that differences in observed income are due to exogenous differences in luck. Hence the optimal redistributive tax involves trading off the benefits due to ‘social insurance’ with the costs due to reduced incentives. I derive the optimal forms for linear and nonlinear taxes, and compute some algebraic and numeric examples. Typically high income individuals will face quite high marginal tax rates.     

POSITIONAL CONCERNS IN AN OLG MODEL: OPTIMAL LABOR AND CAPITAL INCOME TAXATION*

This article concerns optimal income taxation under asymmetric information in a two‐type OLG model when individuals’ relative consumption matters. Positional concerns affect the policy choices via two channels: (i) the average degree of positionality and (ii) positionality differences between the low‐ability type and the mimicker. Under plausible empirical estimates, the marginal labor income tax rates become substantially larger, and the absolute value of the marginal capital income tax rate of the low‐ability type becomes substantially smaller, than in the conventional model. In addition to measures of reference consumption based on average consumption, we also address within‐generation and upward comparisons.     

效率与公平兼顾的最优所得税:理论框架及最优税率估计

最优所得税主要探讨税收如何兼顾公平与效率问题,以及给定公平偏好程度下,如何确定最优边际税率水平。即使在崇尚罗尔斯社会福利函数的社会里,政府同时兼顾再分配和财政收入目标的基础上,只要略加考虑税收对劳动供给的效应,哪怕是微弱的考虑和兼顾,最高边际税率都不会达到100%。而且,借鉴斯特恩最优线性所得税模型及美国个人所得税制度,估计我国现行个人所得税最高边际税率还可以适当降低到36%左右。     

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.     

Asymptotic Marginal Tax Rate of Individual Income Tax in China

This paper examines the asymptotic marginal rate of individual income tax which maximizes China's social welfare through numerical simulation based on the elasticity of China's labor supply, income distribution and the social objectives of redistribution in accordance with the optimal direct taxation theory. Taking advantage of the optimal direct taxation model with consideration of the income effect, it comes to the conclusion that combined with China's reality, the asymptotic marginal rate of individual labor income tax in China should be between 35% and 40%.     

Optimal income taxation with a stationarity constraint in a dynamic stochastic economy

We consider the optimal nonlinear income taxation problem in a dynamic, stochastic environment when the government cannot change the tax rule as uncertainty resolves. Due to such a stationarity constraint, our taxation problem is reduced to a static one over an expanded type space that incorporates type evolution. We strengthen the argument in the static model that the zero top marginal tax rate result is of little practical importance because it only applies to the top of the expanded type space. If the maximal type increases over time, the person with top ability in any period but the last has a positive marginal tax rate.     

Moral Hazard,Income Taxation and Prospect Theory*

The standard theory of optimal income taxation under uncertainty has been developed under the assumption that individuals maximise expected utility. However, prospect theory has now been established as an alternative model of individual behaviour, with empirical support. This paper explores the theory of optimal income taxation under uncertainty when individuals behave according to the tenets of prospect theory. It is seen that many of the standard results are modified in interesting ways. The first‐order approach for solving the optimisation problem is not valid over the domain of losses, and the marginal tax schedule offers full insurance around the reference consumption level. The implications of non‐welfarist objectives under income uncertainty are also examined.     

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 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.     

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.     

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 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.     

Optimal income taxation and migration: a world welfare point of view

This paper considers a world in which a distortionary income tax must be employed to raise and redistribute revenue. The optimal taxation of emigrants relative to those left behind is examined under the objective of world social welfare maximization. When tastes for consumption and labor do not depend directly on residence, the optimal tax system induces individuals to reside where the marginal products of their chosen labor supplies are highest. This paper also proves the existence of an optimal tax system under which each individual resides where he pays the greatest tax. This result holds even when tastes are allowed to vary with residence in an interesting way.     

Redistribution with Unobservable Bequests: A Case for Taxing Capital Income

This paper addresses the question of the optimal taxation of labour and interest income in an overlapping generations model with two unobservable characteristics, ability and inheritance. We assume realistically that saving can only be taxed anonymously, whereas the tax on labour earnings can be individualized and made non-linear. In such a setting, we show that a withholding tax on interest income along with a non-linear tax on labour income is desirable. The role of interest income taxation is to indirectly tax inherited wealth.
JEL Classification D 63, H 2     

Optimal nonlinear income taxation with learning-by-doing

This paper examines a two-period model of optimal nonlinear income taxation with learning-by-doing, in which second-period wages are an increasing function of first-period labour supply. We consider the cases when the government can and cannot commit to its second-period tax policy. In both cases, the canonical Mirrlees/Stiglitz results regarding optimal marginal tax rates generally no longer apply. In particular, if the government cannot commit and each consumer's skill-type is revealed, it is optimal to distort the high-skill type's labour supply downwards through a positive marginal tax rate to relax an incentive-compatibility constraint. Our analysis therefore identifies a setting in which a positive marginal tax rate on the highest-skill individual can be justified, despite its depressing effect on both labour supply and wages.     

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.     

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).     

A note on optimal income taxation,public goods provision and robust mechanism design

This paper extends the model of optimal income taxation due to Mirrlees (Mirrlees, J., 1971. An exploration in the theory of optimum income taxation. Review of Economic Studies 38, 175–208) and includes private information on public goods preferences. A mechanism design approach is used to establish the following result: If policies are required to be robustly implementable in the sense of Bergemann and Morris (Bergemann, D., Morris, S., 2005. Robust mechanism design. Econometrica 73, 1771–1813), then the optimality conditions in the extended model with uncertainty about tax and expenditure policies are the same as in the standard model of optimal income taxation. The paper provides a foundation for a widely-used assumption in public finance, namely that individuals optimize their behavior subject to a predetermined and commonly known tax system.     

Optimal climate and fiscal policy in an OLG economy

This paper develops a climate–economy model to study the joint design of optimal climate and fiscal policies in economies with overlapping generations (OLGs). I demonstrate how capital taxation, if optimal, drives a wedge between the market costs of carbon (the net present value of marginal damages using the market interest rate) and the Pigouvian tax (the net present value of marginal damages using the consumption discount rate of successive OLGs). In contrast to deterministic infinitely lived representative agent models, at the optimum, the capital income tax is positive, the carbon price equals the market costs of carbon but it falls short of the Pigouvian tax when (i) preferences are not separable over consumption and leisure; and (ii) labor income taxes cannot be age-dependent. I also show that restrictions on climate change policy provide a novel rationale for positive capital income taxes.