Optimal taxation in a spatial economy with transport costs

Drawing on both optimal tax theory and residential location theory, this paper investigates optimal first- and second-best taxation in a spatial urban economy with transport costs. The introduction of space and transport costs into optimal tax theory creates a number of complications. Most importantly, spatial efficiency, as well as the more familiar forms of efficiency, needs to be considered in determining the optimal set of taxes. The results are of particular interest in the context of local public finance. The paper provides a method for determining the shadow rent on land in the presence of distortionary taxation, and also a framework for analyzing other distortions in a spatial economy.     

Specific taxation,asymmetric costs,and endogenous quality

This paper shows how a specific tax—in contrast to an ad valorem tax—alters industry structure and firm-level performance in a monopolistic competition framework, where firms chose product quality endogenously and differ exogenously in productivity (i.e., marginal production efficiency). Industry equilibrium mechanisms and selection based on productivity play a significant role: A specific tax shifts market shares and profits toward firms with costs and prices above the industry average at the expense of low-cost firms. This reallocation of market shares releases a novel scale effect such that low-cost firms may quality downgrade, while high-cost firms always quality upgrade. There exists a parameter subspace, where this combines to a decrease on average quality for the industry. In comparison: An ad valorem tax only reduces the number of firms/varieties in the industry due to demand absorption, but affects neither firm-level performance nor industry structure.     

Pigouvian Taxation in Tourism

The paper studies the characteristics and the effects of a tax imposed by a local government on the land used to create new tourists' accommodations. First, a dynamic policy game between a monopolist in a tourist area and a local government is considered. In each period the former has to decide the size of land undergoing development, whereas the latter has to choose the tax to levy on each newly developed area unit. Linear Perfect Markov strategies are derived for both the non-cooperative and the public monopoly case. In equilibrium, a public monopoly would develop land more rapidly than a private monopoly. Furthermore, the more the monopolist discounts the future, the more the long run use of the natural resource is reduced. Second, the properties of the tax are studied considering an oligopolistic market structure. The tax alone does not lead to the socially optimal level of land use. However, its combined effect with another policy instrument such as a quota, induces the optimal level of resource use.     

Pigouvian pricing and stochastic evolutionary implementation

We study the implementation of efficient behavior in settings with externalities. A planner would like to ensure that a group of agents make socially optimal choices, but he only has limited information about the agents’ preferences, and can only distinguish individual agents through the actions they choose. We describe the agents’ behavior using a stochastic evolutionary model, assuming that their choice probabilities are given by the logit choice rule. We prove that there is a simple price scheme with the following property: regardless of the realization of preferences, a group of agents subjected to the price scheme will spend the vast majority of time in the long run behaving efficiently. The price scheme defines a game that may possess multiple equilibria, but we are able to obtain a unique and efficient selection from this set because of the stochastic nature of the agents’ choice rule. We conclude by comparing the performance of our price scheme with that of VCG mechanisms.     

Second-Best Pigouvian Taxation: A Clarification

This paper argues that the search for a “purely environmental” component of a tax on goods or factors of production that impact the environment—separate from its redistributive and distortive effects—is fraught with difficulties. The quest is often impossible because of the interconnectedness between labor supply, consumption decisions and the environmental quality. The paper differentiates between two conceptualization for “the Pigouvian tax” that have been employed in the literature and argues that each has tried to isolate the environmental component in its own way. One conceptualization, due to Cremer et al. (J Public Econ 70:343–364, 1998) does so by ruling out direct feedback from changes in environmental quality on the incentive effect of the tax. In the second conceptualization, due to Bovenberg and Ploeg’s (J Public Econ 55:349–390, 1994), incentive effects are ruled out by making consumers’ valuation of environmental quality independent of the labor supply. This is achieved by assuming separability between labor supply and other goods (including environmental equality). To convey its message, the paper studies the properties of optimal polluting and non-polluting non-labor input taxes in a Mirrleesian model with endogenously determined wages.     

Pigouvian Taxes: A Strategic Approach

This paper analyzes the problem of designing mechanisms to implement efficient solutions in economies with externalities. We provide two simple mechanisms implementing the Pigouvian Social Choice Correspondence in environments in which coalitions can or cannot be formed.     

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.     

The cost controversy: Pigouvian economics in disequilibrium

The standard treatment traces the relation between a firm's costs and output to Jacob Viner's seminal article in 1931. This glosses over the importance of the cost controversy a by-product of which is the development of the basic elements of the theory of the firm in the long-run perfectly competitive framework. This article focuses on the contributions to this area of Arthur Cecil Pigou who-while defending specifying and changing the Marashallian treatment of the laws of returns during the 1922–1932 period - separated external and internal economics of the equilibrium firm drew (perhaps for the first time) U-shaped cost curves and spelled out stability conditions for competitive equilibrum. These provided the building blocks of modern theory of the firm as presented in undergraduate economic textbooks.     

Optimal taxation with positional considerations

This paper analyzes the optimal commodity tax policy, in a generalized vertical differentiation model in which consumers have positional considerations. Consumers enjoy having a product which is better than that owned by others, and feel envy when others own a better product than them. We examine the impact of these positional considerations on the optimal tax and welfare when a monopoly produces two variants of such good. The standard result that the government should subsidize the product, can be reversed in our setting. In the presence of positional concerns, the optimal tax rate can be positive. Furthermore, the positional effects determine the level of the tax pass-through on prices. Finally, the tax levied on the high-quality variant affects the price of the low-quality variant and vice versa.     

Redistributive politics with distortionary taxation

This paper proposes a first step towards a positive theory of tax instruments. We present a model of redistributive politics that extends those of Myerson [R. Myerson, Incentives to cultivate minorities under alternative electoral systems, Amer. Polit. Sci. Rev. 87 (1993) 856-869] and Lizzeri and Persico [A. Lizzeri, N. Persico, The provision of public goods under alternative electoral incentives, Amer. Econ. Rev. 91 (2001) 225-239]. Two politicians compete in terms of targeted redistributive promises financed through distortionary taxes. We solve for the case of both targetable and non-targetable taxes. We prove that there is an imperfect efficiency-targetability trade off on the tax side. Politicians prefer targetable taxes over non-targetable ones, especially when the latter are less efficient. Yet, targetable taxation is always used even when it is very inefficient compared to non-targetable taxes.     

Estate taxation with warm-glow altruism

This article examines the properties of the optimal fiscal policy in an economy with warm-glow altruism (utility interdependence) and heterogeneous individuals. We propose a new efficiency concept, D-efficiency, that considers an implicit constraint in the act of giving: Donors cannot bequeath to donees more than their existing resources. Considering this constraint, we show that the market equilibrium is not socially efficient. The efficient level of bequest transfers can be implemented by the market with estate and labor-income subsidies and a capital-income tax. In the absence of lump-sum taxation, the government faces a trade-off between minimizing distortions and eliminating external effects. The implied tax policy differs from Pigovian taxation since the government’s ability to correct the external effects is limited. Finally, we show that the efficiency-equity trade-off does not affect the qualitative features of the optimal distortionary fiscal policy.

Nuclear Power, Externalities and Non-Standard Pigouvian Taxes

The external effects arising from the use of nuclear power are, in a fundamental way, related to uncertainty. In this paper we locate these external effects and derive a dynamic Pigouvian tax in order to make the decentralized economy support the command optimum. Another interesting result is that a small constant energy tax (which we interpret as a second best policy) can take the decentralized economy reasonably close to the command optimum.     

Optimal income taxation with tax avoidance

We determine the optimal income tax schedule when individuals have the possibility of avoiding paying taxes. Considering a convex concealment cost function, we find that a subset of individuals, located in the interior of the income distribution, should be allowed to avoid taxes, provided that the marginal cost of avoiding the first euro is sufficiently small. This contrasts with the results of Grochulski who shows that, using a subadditive cost function, all individuals should report their true income. We also provide a characterization of the optimal income tax curve.     

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 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.     

Pigouvian tax,abatement policies and uncertainty on the environment

The paper examines the effects of environmental uncertainty on Pigouvian tax and abatement policy used, either separately or contemporaneously, to counteract pollution. We discuss these effects by introducing three kinds of risk: risk on the environmental quality, risk on the impact of pollution and risk on the impact of abatement. For each case we determine the conditions ensuring that risk increases the size of public intervention and provide an economic interpretation and some parallelisms with other risk problems. The last part of the paper generalizes some of our results to the case of N-th order risk changes.     

Redistributive taxation with heterogeneous relative consumption concerns

Abstract This paper studies the impact of redistributive income taxation in a society where only some individuals are motivated by relative consumption concerns. Introducing this heterogeneity raises theoretical challenges since (i) earned income becomes an imperfect indicator of underlying ability and (ii) relative concerns may be inadmissable in the social objective. A new behavioural model is developed in which only relatively‐concerned individuals choose work effort strategically. Linear tax/transfer systems schemes are then characterized and simulated for a series of welfarist and non‐welfarist social objectives, and for different degrees of preference heterogeneity. A key result is that a government which understands the extent of relative consumption concerns–but places no social weight on individuals with such preferences–nevertheless sets a significantly more progressive tax system than a government which ignores relative consumption motivations altogether.