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.     

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.     

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.     

Nonprofits with distributional objectives: price discrimination and corner solutions

We characterize the patterns of pricing and rationing when paternalistic nonprofit organizations (either private or governmental) care about the level and distribution of consumer surplus provided to their clients. Equilibrium depends upon marginal cost, the organization's distributional weights, exogenous income levels, and cream-skimming by competing for-profit firms. In equilibrium, some consumers pay their reservation price or a lower price above marginal cost, some pay less than marginal cost, some obtain the good for free, and some are not permitted to buy the good at any acceptable price. Comparative statics here differs from that for output or profit maximizers, with discontinuous price schedules shifting abruptly when exogenous income changes.     

Separation of the redistributive and allocative functions of government: A public choice perspective

The implications of not separating the redistributive and allocative functions of government are examined from a public choice perspective. Many democratic governments lump transfers and public services into a single unified budget. This can distort voter perceptions of the marginal cost of public services relative to the marginal tax price embodied in the taxing institutions employed to generate public revenue. If the median voter's perception of marginal cost is affected, the majority rule outcome with respect to public goods spending will be altered correspondingly.     

Imperfect Tax Compliance and the Optimal Provision of Public Goods

Our aim in this paper is to investigate whether the presence of imperfect income tax compliance affects the optimal provision of public goods within a framework in which public expenditure is financed by a general income tax that also accomplishes redistributive goals. We first derive the income tax structure, and then a generalized Samuelson rule. We argue that, under imperfect income tax compliance, it is desirable to distort public–good supply downwards, in the sense that the sum of marginal rates of substitution between public and private consumption must exceed their marginal rate of transformation.     

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.     

Pricing of Transport Networks,Redistribution, and Optimal Taxation

The author studies optimal pricing of roads and public transport in the presence of nonlinear income taxation. Individuals are heterogeneous in unobservable earning ability. Optimal transport tariffs depend on time costs of travel and work schedule adjustments (days and hours worked per day) as a response to commuting costs. The author finds that discounts for low‐income individuals are optimal only if the time cost of a trip is small enough. Lower travel time costs facilitate screening; therefore, redistribution provides an additional motive for congestion pricing. Finally, the study investigates the desirability of means‐testing of transport tariffs.     

IMPACT OF TAX, TRANSFER, AND EXPENDITURE POLICIES OF GOVERNMENT ON THE DISTRIBUTION OF PERSONAL INCOME IN CANADA

This is a study of the first order incidence of government taxation and expenditure policies on the incomes of families and unattached individuals in Canada in 1970. The specific purposes of the study are twofold. The first is to estimate for calendar year 1970 the first order incidence of governments'actual tax, transfer, and expenditure policies on spending units. The second objective is to simulate the changes in this incidence that would have occurred in 1970 if the new federal personal income tax, unemployment insurance, old age sccurity and family allowance programs had been in operation during that year. The methodology is similar to that used by W. Irwin Gillespie in his pioneering 1964 study for the Royal Commission on Taxation.
It is concluded that the 1970 incidence of the combined tax and transfer programs of all levels of government is broadly redistributive, with net incidence of federal government programs being considerably more redistributive than that of provincial and local governments. In general, the public sector provides large net benefits to families and individuals with incomes of less than $4,000, declining net benefits to families earning from $4,000 to $11,000 and levies small but increasing levels of net tax on families and individuals with incomes in excess of $11,000. This general conclusion is relatively insensitive to the precise assumptions made about the shifting of taxes and the distribution of expenditures on pure public goods. From simulation experiments, recent reforms of the federal income tax, unemployment insurance, old age security and family allowance systems were estimated to increase the amount of redistribution from the rich to the poor.     

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.     

Public goods provision,inequality and taxes

The impact of redistributive policies on voluntary contributions is still not well understood. While a higher level of redistributive taxation decreases the price of voluntary giving, it also changes the income distribution by decreasing income inequality. This paper provides a controlled laboratory experiment to investigate the net impact of the tax rate on public goods provision. The experimental findings show that while the participants decrease their voluntary contributions as the pre-tax income distribution becomes more equal, they increase their contributions with taxation. These findings have important implications for government policies regarding privately provided public goods.     

Tiebout and redistribution in a model of residential and political choice

The paper considers a two-community model with freely mobile individuals. Individuals differ not only in their incomes, but also in their tastes for a local public good. In each jurisdiction, the amount of public services is determined by majority vote of the inhabitants, and local spending is financed by a residence-based linear income tax. When making their residential and political choices, individuals thus face a trade-off between the provisionary and redistributive effects of policies. We analyze this trade-off and show that Tiebout-like sorting equilibria often exist. If the spread in tastes among individuals is very large, an almost perfect sorting according to preferences emerges; otherwise, a partial sorting prevails and stratification into rich and poor communities is more pronounced. Importantly, we demonstrate that all these sorting equilibria exist whether or not individuals are allowed to relocate after voting.     

Pricing behavior of the budget-constrained public enterprise

By assuming that a budget-constrained multiproduct public enterprise chooses prices with the goal of maximizing its budget, its revenue or its output, specific pricing rules can be derived. Rather than overstating demand elasticities and then pricing like a monopolist, as a budget-constrained welfare-maximizing firm would do, the enterprise pursuing one of these alternative goals is shown to understate marginal cost and then price like a monopolist. Non-optimal price discrimination and even cross subsidization may result. The outcome tends to be more perverse when statutory entry barriers protect some markets of the enterprise. In its pricing, the U.S. Postal Service has shown some of the signs of such other-than-welfare-maximizing pricing behavior.     

Optimal taxes on wealth and consumption in the presence of tax evasion

This article incorporates tax evasion into an optimum taxation framework with individuals differing in earning abilities and initial wealth. We find that despite the possibility of its evasion a tax on initial wealth should supplement the optimal nonlinear income tax, given a positive correlation between initial wealth and earning abilities. Further, even if income and initial wealth are taxed optimally, it is still desirable to levy a tax on commodities, though it can be evaded as well. Thus, our result provides a rationale for a comprehensive tax system. Optimal tax rates on commodities differ in general, however for the special case of a uniform evasion technology equal rates are optimal if preferences are homothetic and weakly separable.     

Comparing Tax and Tax Reallocation Payments in Financing Rail Noise Abatement Programmes: Results from a Stated Choice Valuation Study in Italy

The paper examines the use of stated choice experiments (SC) to assess the economic value of alternative rail noise reduction interventions on the Brennero railway in Italy. The paper formally tests the econometric robustness of the SC estimates under three payment regimes: (a) a regional tax, where consumers must trade off welfare gains due to noise reduction for part of their income; (b) a transport tax reallocation scheme, where consumers must trade off a part of the tax payments that are currently spent on the public transport sector; and (c) an administration tax reallocation scheme, where consumers must trade off a part of the tax payments that are currently spent on the administration sector. The test results are varied. On the one hand, the SC estimates are found to be statistically different for the tax reallocation and the tax introduction regimes. This confirms previous valuation research results, and thus reiterates the hypothesis that states the inequality between marginal values of private income and public money. On the other hand, the SC estimates are not found to be statistically different for the two proposed tax reallocation regimes, suggesting that, in the case study investigated here, the marginal value of public money does not depend upon the budget source.     

Optimal Taxation of Bequests in a Model with Initial Wealth*

We formulate an optimal‐taxation model where parents leave bequests to their descendants for altruistic reasons. In contrast to the standard model, individuals differ not only in earning abilities, but also in initial (inherited) wealth. In this model, a redistributive motive for an inheritance tax – which is equivalent to a uniform tax on all expenditures – arises, given that initial wealth increases with earning abilities. The introduction of the inheritance tax either increases intertemporal social welfare or has an ambiguous effect, depending on whether the external effect related to altruism is accounted for in the social objective.     

Comparative Statics of Optimal Nonlinear Income Taxation with a Publicly Provided Input and a Nonlinear Production Technology

Comparative static properties of the solution to an optimal nonlinear income tax problem are provided for a model in which the government both designs a redistributive income tax schedule and provides a public input for a nonlinear production technology. These assumptions imply that wage rates are endogenous. The endogeneity of the wages necessitates taking account of general equilibrium effects of changes in the parameters of the model that are not present when the technology is linear.     

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.     

Economies with Multiple Public Projects

This paper discusses a general equilibrium model of an economy with multiple separately provided public projects. We assume an additively separable cost structure and consider valuation equilibria with separated finance systems, one for each collective good. Under non-Euclidean representation we show the decentralization of Pareto efficient allocations by valuation equilibria and the equivalence of the core and the set of nonnegative valuation equilibria. In the case of Euclidean representation, every Pareto efficient allocation is shown to be supported as an affine valuation equilibrium that is characterized by a personalized price per unit of each public good and a personalized lump sum tax or subsidy. These results complement and clarify already established insights into Lindahl pricing and its generalizations developed in the literature.     

Public and Private Hospitals,Congestion, and Redistribution

This paper studies how congestion in the public health sector can be used as both an in‐kind and in‐cash redistributive tool. In our model, agents differ in productivity and they can obtain a health service either from a congested public hospital or from a noncongested private one at a higher price. With pure in‐kind redistribution, agents fail to internalize their impact on congestion, and the demand for the public hospital is higher than optimal. When productivities are not observable but the social planner can assign agents across hospitals, the optimal congestion is higher than in the full information case in order to relax incentive constraints and foster income redistribution. Finally, if agents can freely choose across hospitals, the optimal subsidy on the private hospital price may be negative or positive depending on the relative importance of redistribution and efficiency concerns. In this case, redistribution is limited if the quality of the public facility depends on the number of users.