Helmuth Cremer

Direct versus indirect taxation: the design of the tax structure revisited

This paper studies the optimal direct/indirect tax mix in a setting where individuals differ in several unobservable characteristics (productivity and endowments). Tax instruments (income and commodity taxes) are constrained solely by the information structure. It presents general expressions for the optimal commodity tax rates and proves that contrary to Atkinson and Stiglitzs (1976) result, differential commodity taxation remains a useful instrument of optimal tax policy even if preferences are separable between labor and produced goods. The following, more specific, results are also derived. First, when cross substitution effects are small the expressions resemble traditional (many households) Ramsey rules. Second, if differences in endowments are confined to some of the goods, the tax rate on goods in which endowments are zero is positively related to income elasticity. Finally, in a Cobb-Douglas illustration with two goods, where endowments differ only in good 1 (and are interpreted as wealth), the tax on good 2 provides an indirect way to tax the unobservable wealth. It is higher (i) the more significant are the wealth differentials, (ii) the stronger is the correlation between wealth and earning ability and (iii) the larger are the (political) weights attached to low wealth individuals.

Externalities and optimal taxation

This paper re-examines the optimal tax design problem (income and commodities) in the presence of externalities. The nature of the second-best, and the choice of the tax instruments, are motivated by the informational structure in the economy. The main results are: (i) environmental levies (linear or nonlinear) differ in formula from Pigouvian taxes by the expressions for the optimal tax on private goods; (ii) externalities do not affect commodity tax formulas (linear and nonlinear) for private goods; (iii) externalities do not affect the income tax structure if commodity taxes are nonlinear and affect it if commodity taxes are linear; and (iv) a general income tax plus strictly Pigouvian taxes are sufficient for efficient taxation if individuals of different types have identical marginal rates of substitution (at any given consumption bundle).

Capital income taxation when inherited wealth is not observable

This paper extends the Atkinson-Stiglitz model of direct and indirect taxation to a dynamic setting with two unobservable characteristics: productive ability and inherited wealth. Bequests are motivated by the joy of giving. A childs inheritance is a random variable with a probability distribution that depends on his parents investment in a bequest technology. Public borrowing is assumed and implies the modified golden rule. We study the optimal tax policy when two instruments are available: a non-linear (wage) income tax and a proportional tax on capital income. We show that the second instrument ought, in general, to be used but that the tax rate is not necessarily positive. However, a positive tax rate is more likely when there is a positive correlation between inherited wealth and innate ability.

Wealth Transfer Taxation: A Survey

The purpose of this paper is to survey the theoretical literature on wealth transfer taxation. The focus is normative: we are looking at the design of an optimal tax structure from the standpoint of both equity and efficiency. The gist of this survey is that the optimal design closely depends on the assumed bequest motives. Alternative bequest motives are thus analyzed either in isolation or combined.

Designing a Linear Pension Scheme with Forced Savings and Wage Heterogeneity

This paper studies the optimal linear pension scheme when society consists of rational and myopic individuals. Myopic individuals have, ex ante, a strong preference for the present even though, ex post, they would regret not to have saved enough. While rational and myopic persons share the same ex post intertemporal preferences, only the rational agents make their savings and labor supply decisions according to these preferences. Individuals are also distinguished by their productivity. The social objective is “paternalistic”: the utilitarian welfare function depends on ex post utilities. We examine how the presence of myopic individuals affects both the size of the pension system and the degree of redistribution it operates, with and without liquidity constraints. The relationship between proportion of myopic individuals and characteristics of the pension system turns out to be much more complex than one would have conjectured. Neither the impact on the level of pensions nor the effect on their redistributive degree is unambiguous. Nevertheless, we show that under some plausible assumptions adding myopic individuals increases the level of pension benefits and leads to a shift from a flat or even targeted scheme to a partially contributory one. However, we also provide an example where the degree of redistribution is not a monotonic function of the proportion of myopic individuals.

Optimal Pricing and Price-Cap Regulation in the Postal Sector

This paper studies the optimal price structure in the postal sector when worksharing is available (e.g., for collection, sorting and transportation) and when the operator faces a break-even constraint. Users differ in opportunity and cost to engage in worksharing. We determine the optimal worksharing discount and provide sufficient conditions (on demand functions) under which it exceeds the ECPR level. Furthermore, we show that the optimal prices can be implemented through a global price cap imposed on a weighted average of the prices of all products. The appropriate weights are proportional to the market demand (evaluated at optimal prices) of the corresponding products.

Disability testing and retirement

Abstract We study the design of retirement and disability policies and illustrate the often observed exit from the labor force of healthy workers through disability insurance schemes. In our model, two types of individuals, disabled and leisure-prone ones, have the same disutility for labor and cannot be distinguished. However, they are not counted in the same way in social welfare. We determine first- and second-best optimal benefit levels and retirement ages. Then we introduce the possibility of testing that can sort out disabled workers from healthy but retirement-prone workers. We show that such testing can increase both social welfare and the rate of participation of elderly workers; in addition disabled workers are better taken care of. It is not optimal to test all applicants. Surprisingly, the (second-best) solution may imply later retirement for the disabled than for the leisure-prone. In that case, the disabled are compensated by higher benefits.

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.

Voting Over Type and Generosity of a Pension System when Some Individuals are Myopic

This paper studies the determination through majority voting of a pension scheme when society consists of far-sighted and myopic individuals. All individuals have the same basic preferences but myopics tend to adopt a short term view (instant gratification) when dealing with retirement saving. Consequently, they will find themselves with low consumption after retirement and regret their insufficient savings decisions. Henceforth, when voting they tend to commit themselves into forced saving. We consider a pension scheme that is characterized by two parameters: the payroll tax rate (that determines the size or generosity of the system) and the Bismarckian factor that determines its redistributiveness. Individuals vote sequentially. We examine how the introduction of myopic agents affects the generosity and the redistributiveness of the pension system. Our main result is that a flat pension system is always chosen when all individuals are of one kind (all far-sighted or all myopic), while a less redistributive system may be chosen if society is composed of both myopic and far-sighted agents. Furthermore, while myopic individuals tend to prefer larger payroll taxes than their far-sighted counterparts, the generosity of the system does not always increase with the proportion of myopics. (This abstract was borrowed from another version of this item.) (This abstract was borrowed from another version of this item.)

Worksharing: A Calibrated Model

This paper studies the price structure in a postal sector with a monopolistic operator when customers can engage in worksharing. It presents simulation results obtained from an empirical model that is calibrated on data from the French postal sector. The optimal worksharing discount is significantly larger than the avoided costs. Consequently, the appropriate pricing structure differs markedly from the often recommended ECPR policy.