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.     

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 labor income taxation in a two-sector dynamic general equilibrium model

This paper presents a new approach to the two-sector optimal taxation problem. We derive the optimal labor income tax rate which depends on factor intensity across sectors. It is the labor intensity that determines the initial wage rate, and therefore the optimal labor tax rate. We show that an increase in the initial relative price of consumption goods decreases the optimal tax rate on labor income in the case that the consumption goods sector is capital-intensive while it increases the optimal tax rate on labor income in the case that the investment goods sector is capital-intensive.     

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%.     

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.     

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。     

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.     

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.     

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.     

Optimal age‐dependent income taxation in a dynamic extensive model: The case for negative participation tax on young people

We consider optimal age‐dependent income taxation in a dynamic model where the labor‐leisure choice is the extensive margin, each household faces idiosyncratic shocks to labor productivity and a pecuniary cost to work, and there is no insurance market against the shocks. We show that the well‐known property of the optimal participation tax rate in the static model continues to hold in our dynamic economy, that is, the participation tax rates for some income groups with low consumption are likely negative. In dynamic models, the optimal participation tax rate depends on age and on labor income. Our numerical simulations suggest that a negative participation tax should be restricted to young households.     

The Optimal Asymptotic Income Tax Rate

This paper shows that a policy maker needs only two types of information to set the optimal income tax rate at the top: a measure of labor supply elasticity and the shape of skills distribution. We find that the asymptotic tax rate is not affected by the degree of inequality aversion as long as the marginal utility of consumption converges to zero. By using empirically plausible estimates for the compensated labor supply elasticity and the shape of skills distribution, we find that the optimal marginal tax rate at the top should be between 33% and 60%, which is in line with the existing rates in the real world.     

Optimal incentives for labor force participation

Optimal taxation is analyzed under a Rawlsian criterion in an economy where the only decision of the agents is to participate, or not, to the labor force. The model allows for heterogeneity both in the agent's productivities and aversions to work. At a first-best optimal schedule, the marginal agent who decides to work pockets all of her productivity, while being just compensated for her work aversion. When the planner does not observe work aversion, financial compensation for work is lower than productivity. Theory puts little restrictions on the shape of the optimal tax schedules. The usual first-order conditions involving the elasticities of participation only apply for sufficiently regular economies. We qualitatively show how the optimal incentive schemes depend on the underlying structure of the preferences: 100% marginal tax rates or subsidies to work are related to specific features of the economies.     

Optimal income taxation with human capital accumulation and limited record keeping

This paper characterizes optimal income taxes in a dynamic economy where human capital is unobservable and the government is restricted to use taxes that depend only on current income. I show that unobservability of human capital tends to decrease the labor wedge, while the effect on the human capital wedge is uncertain. I also analyze the relationship between optimal taxes in economies with and without endogenous human capital and identify two qualitative reasons why the optimal tax codes will differ. I perform numerical simulations to calculate the quantitative relevance of endogenous human capital formation for optimal tax policy. I find that endogenous human capital lowers marginal tax rates by about 9% on average, as compared with a static model without human capital.     

The effects of progressive income taxation on job turnover

We examine whether the level of the income tax rate and the convexity of the income tax schedule affect job mobility, as measured by moving to a better job. While the predicted effect of the level of the tax rate is ambiguous, we predict that an increase in the convexity of the tax schedule decreases job search activity by taxing away some of the benefits of a successful job search. Using data from the Panel Study of Income Dynamics, we estimate that both higher tax rates and increased tax rate progressivity decrease the probability that a head of household will move to a better job during the coming year. Our estimates imply that a five-percentage-point reduction in the marginal tax rate increases the average probability of moving to a better job by 0.79 percentage points (a 8.0% increase in the turnover propensity) and that a one-standard-deviation decrease in our measure of tax progressivity would increase this probability by 0.86 percentage points (a 8.7% increase in the turnover propensity). This estimate is robust to sensitivity analysis examining the importance of different sources of identification and variation in estimated effects across subgroups in the population. Our estimated importance of tax policy for job turnover suggests a potential role in explaining the responsiveness of taxable income to marginal tax rates.     

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.     

Taxation and Tournaments

This paper analyzes the effects of progressive taxes on labor supply and income distribution in the context of the rank‐order tournament model originally developed by Lazear and Rosen (1981). We show conditions under which a more progressive tax schedule will cause so large general equilibrium effects that the inequality in disposable income will actually increase. We also show that a non‐zero redistributive tax is always optimal if society's welfare function displays inequality aversion; this result always holds, regardless of behavioral responses and general equilibrium effects.     

Optimal Taxation in Life-Cycle Economies

We use a very standard life-cycle growth model, in which individuals have a labor-leisure choice in each period of their lives, to prove that an optimizing government will almost always find it optimal to tax or subsidize interest income. The intuition for our result is straightforward. In a life-cycle model the individual's optimal consumption-work plan is almost never constant and an optimizing government almost always taxes consumption goods and labor earnings at different rates over an individual's lifetime. One way to achieve this goal is to use capital and labor income taxes that vary with age. If tax rates cannot be conditioned on age, a nonzero tax on capital income is also optimal, as it can (imperfectly) mimic age-conditioned consumption and labor income tax rates. Journal of Economic Literature Classification Numbers: E62, H21.     

Optimal income taxation with tax avoidance and endogenous labour supply

I determine the optimal income tax schedule when individuals both choose endogenously their labour supply and have the possibility of avoiding paying taxes. Considering a convex concealment cost function, I propose a formula for the optimal marginal tax rate, that generalizes the formula of the standard Mirrlees model to the case of tax avoidance. I also show that the results obtained by Casamatta (2021) in the fixed income case hold true when labour supply is endogenous: with a low enough marginal cost of avoidance, it is optimal to let some taxpayers, located in the interior of the skill distribution, avoid taxes.     

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.