The geometry of optimal taxation: a primal approach

We characterize zero tax results geometrically as a condition on indifference curves and the implementability constraint. The condition can also be expressed as a generalized homotheticity condition on the utility function and also extends older results on uniform taxation that use the duality approach. Many zero taxation results in dynamic macroeconomics can be derived from our characterization; thus it provides a unified framework for a systematic study of these phenomena. Our geometric method also allows to study the sign of deviations from zero tax results in more complicated frameworks such as taxation without commitment.      

Identifying optimal contingent fiscal policies in a business cycle model

Optimal fiscal policy is indeterminate in a dynamic and stochastic environment. The complete characterization of the fiscal policy requires the use of identification constraints. In the literature either capital taxes or debt have been restricted to be not contingent on the state of nature. We propose a different type of identification constraints to have both policy variables state-contingent. Three alternative identification conditions are considered: (i) restrictions on the dynamic and stochastic behavior of the debt path; (ii) an exogenous debt path, and (iii) an exogenous belief function. The main result indicates that the optimal capital tax is zero and constant over the business cycle for any of the identification conditions used, suggesting that is optimal for the government to use debt return as a shock absorber, keeping capital taxes constant. The result is quite different from the previous literature, which obtains very volatile capital taxes. JEL Classification: E62, H21. We are grateful to Alfonso Novales, Víctor Ríos-Rull, Javier Vallés and two anonymous referees for helpful comments and suggestions. We acknowledge financial support from Spanish Ministerio de Ciencia y Tecnología (Ruiz and Pérez: BEC 2003-039; Manzano: BEC 2002-01995). Baltasar Manzano also acknowledges support from Xunta de Galicia (PGIDIT03PXIC30001PN, PGIDIT03CSO30001PR).     

Are Higher Education Subsidies Second Best?

An optimal taxation framework is considered in which part of the population can take advantage of investment in higher education. It is shown that social welfare can sometimes be increased by supplementing linear income taxes with a subsidy to material investment in higher education, but that social welfare can never be increased by supplementing a non‐linear income tax with such a subsidy.     

Incorporating affirmative action into the welfare state

In this paper, we discuss a novel aspect of affirmative action policy. We examine its redistributive role, asking whether in an egalitarian society, supplementing the tax-transfer system with an affirmative action policy would enhance social welfare. We demonstrate that affirmative action could be a desirable policy tool even if racial discrimination does not exist in the labor market.     

On the existence of an implementable optimal income tax

Summary. This paper discusses the existence of an optimal income tax and distinguishes itself from the previous articles in two respects. In previous papers, the self selection condition was not necessarily consistent with the individual budget constraint. Furthermore, implementability in previous papers was implicit in individual ability, rather than individual income, as the basis of the tax function. We offer a different concept of the self selection conditions: Anti Normal Envy that is consistent with the individual budget constraint and that we show to be equivalent to the competitive equilibrium under a tax function based on income. We then establish the existence of an implementable optimal income tax.Received: 9 December 2000, Revised: 5 August 2003, JEL Classification Numbers: H21, C62, D59.Correspondence to: Jun IritaniThe authors are grateful to an anonymous referee of this journal whose suggestions were instrumental to our revision of the paper, and to Professors Takao Kataoka, Tomoyuki Kamo, Tetsuya Kishimoto, and Mototsugu Fukushige, and the members of the Kobe-Osaka Joint Seminar in Mathematical Economics, for their invaluable comments.     

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.     

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.

Household bargaining and the design of couples’ income taxation

This paper studies the design of couples’ income taxation when consumption and labor supply decisions within the couple are made by maximizing a weighted sum of the spouses’ utilities; bargaining weights are given but specific to each couple. Information structure and labor supply decisions follow the Mirrleesian tradition. However, while the household's total consumption is publicly observable, the consumption levels of the individual spouses are not observable. With a utilitarian social welfare function we show that the expression for a spouses’ marginal income tax rate includes a “Pigouvian” (paternalistic) and an incentive term. The Pigouvian term favors a marginal subsidy (tax) for the high-weight (low-weight) spouse, whose labor supply otherwise tends to be too low (high). The sign and the magnitude of the incentive term depends on the weight structure across couples. In some cases both terms have the same sign and imply a positive marginal tax for the low-weight spouse (who may be female) and a negative one for the high-weight spouse (possibly the male). This is at odds with the traditional Boskin and Sheshinski results. Our conclusions can easily be generalized to more egalitarian welfare functions. Finally, we present numerical simulations based on a calibrated specification of our model. The calculations confirm that the male spouse may well have the lower (and possibly even negative) marginal tax rate.     

Tax reform and collective family decision-making

Traditional analysis of tax reform treats market behaviour as arising out of individual utility maximisation. In this paper, behaviour is modelled as the Pareto-efficient outcome of a family decision process. Conditions for the existence of a feasible, Pareto-improving tax change are presented and contrasted with those that obtain in the individualistic case. The consequences of treating households as a single individual are also discussed.     

On the possibility of attaining environmental and trade objectives simultaneously

With the greening of political debate around the world, large nations — precluded from using trade instruments explicitly — have become aware of the fact that they can manipulate their domestic tax structure to attain environmental and trade objectives simultaneously. In this note we show how such nations can attain these two targets with one instrument. Specifically, we show how to construct dual purpose taxes. We then focus on the empirical determinants of these taxes.     

Efficient taxation, wage bargaining and policy coordination

This paper is related to the literature on optimal nonlinear taxation under right-to-manage wage formation, and we assume that the fall-back profit facing firms during wage bargaining depends on the profit they can obtain if moving production abroad. The purpose is to study how policy coordination among countries can be used to increase the welfare level in comparison with an uncoordinated equilibrium. We consider coordinated policy reforms with respect to the marginal taxation of labor income, the unemployment benefit and the provision of a public good. The results show that policy coordination that leads to fewer hours of work per employee and/or a reduction of the unemployment benefit will increase welfare compared to the uncoordinated equilibrium.     

Publicly Provided Private Goods and Redistribution: A General Equilibrium Analysis

Public provision of private goods is examined within a self-selection framework where production depends on labour supply of different households and the level of public provision. It is shown that productivity and wage-structure effects can create a role for public provision, even if preferences are weakly separable between goods and leisure. Public provision of education may offer an intuitively appealing case for the production-side impacts. We also address the reasons for public provision in a dynamic, overlapping generations economy, whereby public provision may affect efficiency and social costs of redistribution of future generations as well.
JEL classification : H 23; H 42     

Optimal fiscal policy, uncertainty, and growth

This paper analyzes the macroeconomic effects of fiscal policy in a stochastic endogenous growth model. Due to externalities in human capital accumulation, the market allocation is inefficient, thereby justifying government intervention. The uncertainty stemming from technological disturbances affects the growth rate, which can be explained by precautionary motives of risk averse agents. Fiscal policy means consist of a consumption tax, investment subsidies, and bonds. We obtain counter-acting growth effects of investment subsidies, which are differentiated with respect to deterministic and stochastic capital income components. The policy implications from the deterministic model are substantially extended in the stochastic context. A general rule for a welfare maximizing policy is derived, which is represented by a continuum of alternative tax-transfer-schemes. We discuss three benchmark cases, which crucially differ with respect to their implications regarding the size of the government expenditure share.     

Emission taxes and the adoption of cleaner technologies: The case of environmentally conscious consumers

We model a market with environmentally conscious consumers and a duopoly in which firms consider the adoption of a clean technology. We show that as pollution increases, consumers shift more resources to the environmental activities, thereby affecting negatively the demand faced by the duopoly. This effect generates incentives for firms to adopt the clean technology even in the absence of emissions taxes. When such taxes are considered, our results indicate that the benefit of adopting the clean technology is initially increasing and then decreasing in the emission tax. The range of values for which the emission tax increases this benefit becomes narrower when the consumers’ environmental awareness is stronger.     

Endogenous innovation and imitation in a model of equilibrium growth

This paper provides a growth model in which innovation as well as imitation occurs. Economic growth is due to product innovations. Innovators driven by the possibility to appropriate monopoly profits do not remain in their monopolistic position forever. Latecoming imitators get into possession of the private knowledge of production through investments in R & D. Imitated products are marketed in oligopolistic markets. Imitation proves to be profitable despite a single factor market and positive imitation costs. A steady-state equilibrium with positive imitation and innovation rates as well as different market structures can be derived. Finally, the effects of industrial policy measures are discussed.     

Occupational self-selection in a labor market with moral hazard

This paper studies the determinants and implications of self-selection when firms imperfectly observe worker effort. The effects of the resulting moral hazard problem on the self-selection mechanism are analyzed in a model in which workers simultaneously choose an employment sector and an effort level. The implications of the model reveal that in the presence of moral hazard, workers’ effort decisions become an additional mechanism determining the pattern of selection into sectors. Workers’ sector-specific endowments impact sectoral allocation through their effect on workers’ comparative advantage as well as their effect on workers’ shirking propensity. The model is then used in an empirical application that analyzes workers’ self-selection into white collar and blue collar occupations. The estimation results, based on data from the National Longitudinal Survey of Youth, suggest that workers’ occupational self-selection leads to higher wages and lower dismissal rates in both occupations, compared to an economy in which workers are randomly assigned to each occupation. The difference in dismissal rates between the two occupations is driven by the higher expected productivity in the white collar sector. The positive effects of occupational sorting diminish as the labor market becomes increasingly characterized by moral hazard. Results also suggest that human capital investments in skills that are most relevant to blue collar jobs may generate higher wages and lower dismissal rates in both white collar and blue collar occupations.