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.     

Environmental taxes with heterogeneous consumers: an application to energy consumption in France

This paper constructs a model with four groups of households who have preferences over labor supply, consumption of polluting (energy related) and non-polluting (non-energy) goods, and emissions. It quantifies the model for the French economy and computes its optimal tax equilibria under nine second-best tax regimes. We find that the redistributive role of environmental taxes requires the polluting goods to be taxed at a rate much below their marginal social damage. These goods may even require an outright subsidy if the society values equality ‘a lot’. Secondly, if environmental taxes that have an exclusively externality-correcting role, they benefit all types—although the gains are rather modest. The gains and losses become more substantial when environmental taxes have a redistributive role as well. Third, setting the environmental tax at its Pigouvian level, rather than its optimal externality-correcting-cum-redistributive level, benefits the high-income group at the expense of the low-income groups. Fourth, nonlinear taxation of polluting goods, and nonlinear commodity taxation in general, is a powerful redistributive mechanism. Fifth, introducing environmental taxes in the current French tax system, with its suboptimal income taxes, results in substantial welfare gains for the highest income group and a sizable loss for the least well-off persons.     

Trade,environment, and income inequality: An optimal taxation approach

In a small open economy, how should a government pursuing both environmental and redistributive objectives design domestic taxes when redistribution is costly? And how does trade liberalization affect the economy's levels of pollution and inequalities, when taxes are optimally and endogenously adjusted? Using a general equilibrium model under asymmetric information with two goods, two factors (skilled and unskilled labor), and pollution, this paper characterizes the optimal mixed tax system (nonlinear income tax and linear commodity and production taxes/subsidies) with both production and consumption externalities. While optimal income taxes are not directly affected by environmental externalities, conditions are derived under which under‐ or over‐internalization of social marginal damage is optimal for redistributive considerations. Assuming that redistribution operates in favor of the unskilled workers and that the dirty sector is intensive in unskilled labor, simulations suggest that trade liberalization involves a clear trade‐off between the reduction of inequalities and the control of pollution when the source of externality is only production; this is not necessarily true with a consumption externality. Finally, an increase in the willingness to redistribute income toward the unskilled results paradoxically in less pollution and more income inequalities.     

On Optimal Commodity Taxes When Consumption Is Time Consuming

This paper studies the problem of optimal taxation of commodities when consumption is a time‐consuming activity. This is done under two distinct preference separability assumptions: between goods and labor supply, and between goods and leisure. It argues that with the labor separability, the traditional uniform taxation results of optimal tax theory continue to hold. With leisure separability, on the other hand, consumption time is a major ingredient of optimal tax rates. However, the relationship between consumption time and optimal tax rates depends crucially on the representation of the economy. In representative consumer economies, time differences determine the pattern of optimal tax rates so that goods whose consumption take more time are subjected to higher tax rates. When individuals have different earning abilities, redistributive, incentive, and efficiency considerations also come into play resulting in a complex relationship. The paper derives formulas for optimal commodity taxes in this case on the basis of three different tax structures: linear commodity taxes in combination with linear and nonlinear income taxes, and nonlinear commodity taxes in combination with nonlinear income taxes.     

Consumption externalities and direct versus indirect corrective pricing

In a competitive economy with consumption externalities arising only if some commodities are put to particular uses and where individual marginal contributions to the level of the externality may differ among individuals, a first best Pareto-optimum can be attained through a set of Pigouvian taxes discriminating between users and uses of the externality-generating commodities. In the present paper we shall discuss the optimal structure of commodity taxes in the case that policy discrimination is not possible or feasible. If policy discrimination between users or uses is not possible, we show that apart from taxing or subsidizing the direct sources of externalities, it may be optimal to impose taxes or subsidies on related goods, i.e., indirect corrective pricing.     

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.     

Optimal taxation, global externalities and labor mobility

This paper concerns transboundary environmental problems in the context of an optimal tax model. We assume that part of the labor force is mobile across countries, and that the set of tax instruments includes a nonlinear income tax and a commodity tax on the ‘dirty’ good that is causing damage to the environment. The purpose is to compare the (globally optimal) second best policy of a cooperative equilibrium with the policy implicit in a noncooperative equilibrium. We show that the commodity taxes differ between equilibria because of: (i) transboundary externalities not internalized by national governments, (ii) interaction effects between environmental and other policies, and (iii) labor mobility.     

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.     

Is commodity taxation unfair?

In a model where agents have unequal skills and heterogeneous preferences about consumption goods and leisure, this paper studies how to combine commodity taxes and non-linear income tax. It proposes a particular social welfare function on the basis of fairness principles. It then derives a simple criterion for evaluating the social welfare consequences of various tax schedules. Under the proposed approach, the optimal tax should have no commodity tax for some range of consumptions, and income redistribution would feature high subsidies to the working poor. It is also shown that, even when the income tax fails to be optimal, commodity taxes may not improve social welfare.     

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.     

A Model of Tradeable Capital Tax Permits

Standard models of horizontal capital tax competition predict that, in a Nash equilibrium, states set tax rates inefficiently due to externalities—capital inflow to one state corresponds to capital outflow for another state. Researchers often suggest that the federal government impose Pigouvian taxes to correct for these effects and achieve efficiency. We propose an alternative incentive‐based regulation: tradeable capital tax permits. Under this system, the federal government would require a state to hold a permit if it wanted to reduce its capital income tax rate from some predefined benchmark. These permits would be tradeable across states. We show that, if the federal government sets the correct number of total permits, then social efficiency is achieved. We discuss the advantages of this system relative to the canonical suggestion of Pigouvian taxes.     

Optimal taxation with consumption time as a leisure or labor substitute

This paper studies the optimal commodity taxation problem when time taken in consumption is a perfect substitute for either labor or leisure. It shows that while labor substitutability affects the optimal tax structure, leisure substitutability leaves the classical optimal tax results intact. In the Ramsey tax framework with linear income taxes, whether the consumers have the same or different earning abilities, labor substitutes tend to be taxed at a higher rate than leisure substitutes with the tax differential being increasing in consumption time. This is not necessarily the case when one allows for nonlinear income taxation.     

Correcting Market Failure Due to Interdependent Preferences: When Is Piecemeal Policy Possible?

Allowing for general utility interdependence and agent heterogeneity, we characterize taxes that will generate first best solutions in markets. We show the equivalence of tax corrections derived from the Marshallian and compensated demand approaches. Next we analyze the conditions that are required for the market failure to be corrected by: (1) specific indirect ad valorem taxes on commodities, (2) the same proportional tax rate on every commodity, and (3) a proportional income tax rate on each individual. The conditions are related to the restrictions necessary to have H synthetic consumers without externalities who replicate behavior of individuals with externalities.     

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.     

Optimal tax theory: A synthesis

Necessary conditions for optimal taxation are derived (i) when taxes are constrained to be linear, (ii) when the form of taxation is unconstrained, (iii) when some commodities are subject to nonlinear taxation, the remainder to proportional taxation. Among the results obtained are several that help to determine upon which commodities the tax system ought to bear most heavily. In particular, a criterion for the effect of commodity taxes in the presence of an optimal income tax is found. The paper concludes with a general principle of simple form for optimal economic policies of all kinds.     

Direct versus indirect pigovian taxation

This paper considers the theory of optimal taxation in the presence of externalities when it is the uses of commodities in particular consumption processes which generate externalities, rather than the consumption of certain commodities as such. If the government is constrained to using ordinary commodity taxes (for reasons of imperfect information, costly control, etc.), it is demonstrated that there is a case for having taxes or subsidies on related goods in addition to a tax on the externality-creating commodity itself. The analysis also identifies the conditions under which related goods should be subsidized or taxed.     

Optimal tax rules and public sector efficiency with an externality in an overlapping generations model

This paper examines optimal tax rules and public sector efficiency, integrating them in a second-best world with pollution by using an overlapping generations model. The second-best world is characterized by the comparative statics of green preferences. The main results obtained are as follows. First, the marginal cost of public funds may be reduced by the externalities, regardless of the choice of taxes. Second, optimal environmental and non-environmental tax rules are additively and directly affected by the dynamic efficiency of capital accumulation per unit labour (DECAL), and indirectly by it, through the efficiency of the public sector. Environmental taxes going beyond Pigovian ones may be welfare-improving if the DECAL is improved by the environmental tax. Even optimal non-environmental tax rules should additively and directly counter the dynamics of pollution to consider the income effects of the optimal tax system for the future. Third, the “additivity property,” or the “principle of targeting,” does not hold even in the absence of incentive compatibility constraints. The essential reasons for this are clarified as follows: distortions that should be countered by taxes; that is, the income effects of the optimal tax system and the DECAL in this model, break the equality between optimal environmental taxes and the externalities measured by governments. Finally, growing environmental concerns may, in fact, increase pollution. The inverse relationship between environmental and labour income taxes may not hold.     

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.     

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.     

Taxation In The Two‐Sector Neoclassical Growth Model With Sector‐Specific Externalities And Endogenous Labour Supply*

This paper examines the long‐run impacts of selective (or sector‐specific) commodity, payroll, and profit taxes in a two‐sector endogenous growth model with sector‐specific production externalities, in which one sector produces consumption goods and the other produces investment goods. The novelty of the model is that it allows not only for endogenous labour supply but also for the intersectoral allocation of resources, which may together lead to indeterminacy. We analytically show that the stability properties of the long‐run equilibrium critically affect the long‐run effects of these selective taxes, which may reverse the standard results of the growth effects of distortionary taxes.