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 Indirect and Capital Taxation

We consider an environment in which agents' skills are private information and follow arbitrary stochastic processes. We prove that it is typically Pareto optimal for an individual's marginal benefit of investing in capital to exceed his marginal cost of doing so. This wedge is consistent with a positive tax on capital income. We also prove that it is Pareto optimal for the marginal rate of substitution between any two consumption goods to equal the marginal rate of transformation. This lack of a wedge is consistent with uniform taxation of consumption goods within a period.     

On the undesirability of commodity taxation even when income taxation is not optimal

An important result due to Atkinson and Stiglitz (1976) [Atkinson, A.B., Stiglitz, J.E., 1976. The design of tax structure: Direct versus indirect taxation. Journal of Public Economics 6, 55–75.] is that differential commodity taxation is not optimal in the presence of an optimal nonlinear income tax (given weak separability of utility between labor and all consumption goods). This article demonstrates that this conclusion holds regardless of whether the income tax is optimal. In particular, given any commodity tax and income tax system, differential commodity taxation can be eliminated in a manner that results in a Pareto improvement. Also, differential commodity taxation can be proportionally reduced so as to generate a Pareto improvement. In addition, for commodity tax reforms that neither eliminate nor proportionally reduce differential taxation, a simple efficiency condition is offered for determining whether a Pareto improvement is possible.     

Production Efficiency and the Direct-Indirect Tax Mix

In the design of the optimal direct/indirect tax mix, the canonical view was laid by Atkinson and Stiglitz (1976) who showed that commodity taxes are unnecessary in an economy in which there is an optimal nonlinear income tax provided that commodities are separable from labor in the utility functions of all taxpayers, that the aggregators over these commodities are ordinally equivalent and that wages are fixed. When wages are endogenous, Naito (1999) showed that this result may not hold and in addition that production efficiency may not be Pareto optimal. Given an optimal nonlinear income tax, we show that production inefficiency is Pareto optimal if the aggregate technology set is strictly concave. The Atkinson–Stiglitz condition is neither necessary nor sufficient for zero commodity taxation and commodity taxes are part of almost all Pareto optima.     

Commodity tax competition between member states of a federation: equilibrium and efficiency

The purpose of this paper is to characterize the outcome of tax competition between autonomous fiscal authorities. It treats the case of a two-region economy, where an origin-based commodity tax is levied by each region on some private good to finance a local public good. A second private good is untaxed.We first describe ‘regional market equilibria’, whereupon consumers of each region allocate their purchases of private goods between domestic and nondomestic ones according to the structure of relative prices, taxes, and transportation costs. Next, regional optimal tax levels and public good quantities are derived, the tax of the other region being held constant. Fiscal competition arises from the ability of one region in choosing its tax to alter the tax base of the other.A ‘noncooperative fiscal equilibrium’ (NCFE) is then defined as the pair of fiscal choices such that each region's tax and public good supply are optimal for itself, given those of the other region. After examining the conditions for the existence of a NCFE, its efficiency properties are considered. Pareto efficient tax levels are computed and compared with the NCFE ones, showing the sources and nature of fiscal externalities. Finally, it is established that, in this model, fiscal choices that are Pareto improving with respect to a NCFE never reduce the taxes in both regions, and always increase the tax of a tax importing region.     

Budget Balancedness and Optimal Income Taxation

We make two contributions to the theory of optimal income taxation. First, assuming conditions sufficient for existence of a Pareto optimal income tax and public goods mechanism, we show that if agents' preferences satisfy an extended notion of single crossing called capacity constrained single crossing, then there exists a Pareto optimal income tax and public goods mechanism that is budget balancing. Second, we show that, even without capacity constrained single crossing, existence of a budget balancing Pareto optimal income tax and public goods mechanism is guaranteed if the set of agent types contains no atoms.     

Age‐related Optimal Income Taxation*

In most countries, average income varies with age. In this paper we investigate if and how it is possible to enhance the redistributive mechanism by relating tax payments to age. Using an OLG model where some individuals are low skilled all their life while others are low skilled when young but high skilled when old, we first show how an age dependent optimal income tax can Pareto improve upon an age independent income tax. We then characterize the optimal age dependent income tax. A tax on interest income is part of the optimal tax structure.     

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.     

Optimal mixed taxation,public goods and the problem of high-skilled emigration

The optimal income tax model under the threat of migration of Simula and Trannoy (J Public Econ 94:163–173, 2010; Soc Choice Welf 39(4):751–782, 2012) is extended to include indirect taxes and public goods. This enables us to conclude that: (1) optimal income tax rates are higher than in the absence of indirect taxation, and may be positive at the top of the skills distribution; (2) indirect taxes, à la Corlett and Hague, may help mitigate the loss of redistributive capacity arising from income taxation caused by migration threats; (3) migration encourages the provision of the public goods preferred by the most productive workers; (4) optimal tax and public goods provision policies against the emigration of the highly-skilled are connected through the conditions for Pareto efficiency; (5) if the number of potential migrators is large, it may be desirable to violate classical tax rules to retain the most able in the home country; (6) when migration costs are exogenously given and utility is weakly separable, Simula and Trannoy’s results are restored; (7) if migration costs are endogenous, the Atkinson and Stiglitz theorem breaks down and the taxation of country-specific goods becomes desirable, even if utility is strongly separable.     

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.     

Gradualism In Tax Treaties With Irreversible Foreign Direct Investment*

Bilateral tax treaties govern host country taxation for most of the world's foreign direct investment (FDI). To explain why the tax rates used under these treaties are gradually falling we consider two‐way capital flows with irreversible FDI. The extent of irreversibility determines the magnitude of initial tax reductions. When Pareto‐optimal taxes are not initially self‐enforcing, more modest tax reductions generate an increase in irreversible bilateral FDI so that further tax reductions become self‐enforcing. Depending on the extent of irreversibility and asymmetry, Pareto‐optimal tax rates may be obtainable in the long run.     

International Commodity Taxation under Monopolistic Competition

We analyze non‐cooperative commodity taxation in a two‐country trade model characterized by monopolistic competition and international firm and capital mobility. In this setting, taxes in one country affect foreign welfare through the relocation of mobile firms and through changes in the rents accruing to capital owners. With consumption‐based taxation, these fiscal externalities exactly offset each other and the non‐cooperative tax equilibrium is Pareto efficient. With production‐based taxation, however, there are additional externalities on the foreign tax base and the foreign price level that lead non‐cooperative tax rates to exceed their Pareto efficient levels.     

On commodity tax harmonization and public goods provision

This paper argues that Pareto improvements based on harmonizing tax reforms expressed in terms of the divergence between actual and optimal tax structures and over/under provision of public goods require the use of ‘pseudo-optimal’ taxes instead of optimal ones. ‘Pseudo-optimal’ taxes are defined as those obtained using the optimal tax formulas but evaluated at any arbitrary initial tax structure. Within this context the paper reconfirms existing results showing that tax harmonization emerges as a strong policy instrument in achieving a potential Pareto-improvement.     

Can private giving promote economic segregation?

This paper explores the theoretical relationship between tax relief for private giving and individual location choice. Tax relief for giving may receive political support at the local level because of its distributional effects; however, through its effects on public provision choices, such relief may affect individual location decisions and, in so doing, has an impact on the jurisdictional configurations that can arise in equilibrium. For some demographic parameters it will promote economic segregation rather than integration, while for others, the opposite is true. In the former scenario, a ban on local tax incentives for giving would be Pareto improving and would thus be sanctioned by a majority-supported federal tax constitution.     

Tax reforms under market distortions in product and labour markets

Using a two-agent model comprised of capitalists and workers, this paper examines the importance of imperfect competition in product and labour markets in determining the welfare effects of tax reform. The reform considered consists of eliminating the capital tax alongside a concurrent rise in the labour tax. In contrast to the perfectly competitive model, models with product or labour market failures each result in welfare losses for the workers in the long-run. In a realistic calibration to the UK economy, combining these imperfections implies that this tax reform will be Pareto improving in the long-run. However, these welfare gains over longer time horizons come at the cost of short-run losses, which, consistent with previous research, result in welfare losses for workers post-reform.     

Pigouvian Taxes in General Equilibrium with a Fixed Tax Redistribution Rule

This paper establishes existence of a first-best emission tax in a general equilibrium model with pollution, when the redistribution rule of the tax income is chosen fixed and independently of the Pigouvian tax rate. It is known that under standard convexity assumptions each Pareto efficient allocation can be implemented by simultaneously choosing a Pigouvian tax rate and an appropriate lump sum redistribution of income. In real politics, however, tax redistribution schemes are often restricted to a small feasible set. Nonetheless we show that for any given lump sum redistribution rule, being continuous in overall tax income, an emission tax rate exists that leads to a Pareto efficient equilibrium.     

农村小额信贷中的外部性效应分析

通过对农村小额信贷的外部性效应进行分析，解释了农村小额信贷促进农村经济增长时未能达到帕累托最优状态的原因，即缺乏足够的激励机制和小额贷款公司未能享受到当地经济增长带来的收益。利用庇古税和科斯定理制定合理的解决方案，即通过对小额信贷公司的农村信贷行为给予相应补贴、减少其税负和让其获取农村经济增长的收益权。     

Existence of an equilibrium with arbitrary tax schemes for financing local public goods

The existence of a public competitive equilibrium for any arbitrary (nondistortive) tax schemes (in particular, proportional taxes) for economies with local public goods, is proved. Allowing preferences to be both nontransitive and noncomplete enables an explicit introduction of the government as an (additional) agent in the economy. Moreover, we allow for “spillovers” of the public goods among localities, and for the production sets to depend on the amount of public goods produced in the economy. The only restriction on the tax system is that every individual is able to afford it and that the government's budget never runs a surplus. Since every equilibrium allocation is a Pareto optimum, every tax scheme is optimal (in the sense that its equilibrium allocation is a Pareto optimum).     

Constrained Pareto-optimal taxation of labour and capital incomes

With the Pareto principle as the sole normative criterion, necessary conditions for optimal tax rates on labour and capital incomes are established in an overlapping-generations model. The individuals in the economy have differing earning abilities and their labour supply is endogenous. The analysis focuses on intragenerational aspects and is restricted to linear taxation in steady state.     

Taxes,Tuition Fees,and Education for Pleasure

The fact that education provides both a productive and a consumptive (nonproductive) return has important and, in some cases, dramatic implications for optimal taxes and tuition fees. Using a simple model, we show that when the consumption share in education is endogenous and tuition fees are unconstrained, the optimal tax/fee system involves regressive income taxes and high tuition fees. A progressive labor income tax system may, on the other hand, be a second‐best response to politically constrained, low tuition fees. Finally, the existence of individuals with different abilities will also move the optimal income tax system toward progressivity.