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.     

Optimal grouping of commodities for indirect taxation

Indirect taxes contribute to a sizeable part of government revenues around the world. Typically there are few different tax rates, and the goods are partitioned into classes associated with each rate. The present paper studies how to group the goods in these few classes. We take as given the number of tax rates and study the optimal aggregation (or classification) of commodities of the fiscal authority in a second best setup. The results are illustrated on data from the United Kingdom.     

Optimal income taxation with tax avoidance and endogenous labour supply

I determine the optimal income tax schedule when individuals both choose endogenously their labour supply and have the possibility of avoiding paying taxes. Considering a convex concealment cost function, I propose a formula for the optimal marginal tax rate, that generalizes the formula of the standard Mirrlees model to the case of tax avoidance. I also show that the results obtained by Casamatta (2021) in the fixed income case hold true when labour supply is endogenous: with a low enough marginal cost of avoidance, it is optimal to let some taxpayers, located in the interior of the skill distribution, avoid taxes.     

Controling tax evasion under direct and indirect taxation: Some notes

The purpose of the paper is to use a simple model of the firm having monopoly power in the goods market as the framework to study the relative effectiveness of unit, ad valorem and profit taxes under two alternative criteria when the taxes are changeds so as to keep either the expected utility of the monopoly firm or the expected tax revenues for government constant. Under the former policy the profit tax turns out to be best and the unit tax worst in all respects; for instance, the profit tax will give rise to higher production, lower prices, lower tax evasion and higher tax revenues for government than other taxes. The dominance of the profit tax and the inferiority of the unit tax still holds under the policy of keeping the expected tax revenues constant in terms of production, prices and the expected utility of the monopoly firm. But strikingly, in terms of effectiveness of tax evasion control the ranking of taxes is now exactly the reverse from the one obtained under the expected utility criterium; now the unit tax is best and the profit tax worst.     

Revenue-maximizing tax rates in personal income taxation in the presence of consumption taxes: a note

This article computes revenue-maximizing tax rates in personal income taxes in the presence of consumption taxes. It finds that the traditional Laffer analysis, which neglects the effects of marginal tax rates on consumption, overestimates the magnitude of revenue-maximizing tax rates. The bias caused by this oversight is computed.     

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.     

Optimal nonlinear income taxation with a finite population

In the standard optimal income taxation problem, tax payments depend only on each consumer's own actions. Piketty [J. Econ. Theory 61 (1993) 23-41] shows that, if one individual's tax schedule depends on others’ actions and the government knows the exact ability distribution, it can implement any undistorted allocation as the unique revelation game outcome. If some individuals misreveal their types, Piketty's mechanism may assign infeasible allocations. We require that tax schedules must balance the government budget for every possible vector of revelations. When individuals reveal their type by simple announcements, all undistorted allocations can be still implemented, even with off-equilibrium feasibility constraints.     

Optimal mixed taxation,credit constraints,and the timing of income tax reporting

We study optimal income and commodity tax policy with credit‐constrained low‐income households. Workers receive an even flow of income during the tax year, but report their incomes and make tax payments (receive transfers) at the end of the year. They spend their disposable income on multiple commodities over the year. We show that differentiated subsidies on commodities can be optimal even if the Atkinson–Stiglitz Theorem conditions apply. When the optimal policy leaves low‐income households with binding credit constraints, it may be optimal to subsidize differentially the good that they consume in higher proportion. Uniform subsidies would also relax the credit constraint, but would be more costly to the government since they would equally benefit unconstrained households. Numerical examples suggest that commodity tax differentiation increases with basic needs and with the interest rate at which government borrows.     

Optimal taxation in a monetary economy with financial intrmediaries

The problem of optimal taxation when the government must levy distorting taxes to meet its revenue needs is considered for a monetary economy with financial intermediaries. In contrast to most other studies of optimal taxation in a monetary economy, money is treated as an intermediate good which is held because doing so economizes on the scarce resources that must be devoted to the exchange process. Attention is focused on the roles of the inflation tax, reserve requirements, and deposit taxes. The key result is that revenue considerations do not justify taxing cash and deposits. That is, the optimal tax structure calls for adopting the optimum quantity of money rule and setting deposit taxes to zero. When the optimal tax structure is in place, reserve requirements turn out to be irrelevant from both the fiscal and welfare perspectives.     

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.     

Optimal top marginal tax rates under income splitting for couples

This paper provides formulas for optimal top marginal tax rates when couples are taxed according to income splitting between spouses, consumption is taxed, and the skill distribution is unbounded. Optimal top marginal income tax rates are computed for Germany using a dataset that includes the tax returns of all German top taxpayers. We find that the optimal top marginal tax rate converges to about 2/3 and convergence obtains at income levels that are substantially higher than those currently subject to the actual top tax rate.     

Optimal taxation and cross-price effects on labor supply: Estimates of the optimal gas tax

This study estimates parameters necessary to calculate the optimal second-best gasoline tax, most notably the cross-price elasticity between gasoline and leisure. Prior theoretical work indicates the importance of this elasticity, but despite this, almost none of the prior studies of commodity taxation (and none of the studies on second-best environmental regulation) actually estimate it. Using household data, we find that gasoline is a relative complement to leisure, and thus that the optimal gasoline tax is significantly higher than marginal damages-the opposite of the result suggested by the bulk of the prior literature. Indeed, even if there were no externalities at all associated with gasoline, the optimal tax rate would still be almost equal to the average gas tax rate in the U.S. Following this approach to estimate cross-price elasticities with leisure could strongly influence estimates of optimal rates for other important commodity or pollution taxes.     

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.     

Optimal pollution taxation in a Cournot duopoly

It is well known that the optimal pollution tax in a competitive industry is equal to the marginal damage inflicted by the pollution. It has also been shown that the optimal pollution tax on a monopoly is less than the marginal damage. In this paper, I derive the optimal pollution tax for a Cournot duopoly. If firms have different production costs, the optimal tax rate may exceed the marginal damage. This is so because the tax may be an effective instrument for allocating production from the less to the more efficient firm. It is also shown that, if one firm has a positive most preferred pollution tax, the sum of consumer and producer surpluses will be declining in the tax at this level.     

Optimal taxation with endogenously incomplete debt markets

Empirical analyses of labor tax and public debt processes provide prima facie evidence for imperfect government insurance. This paper considers a model in which the government's inability to commit to future policies or to report truthfully its spending needs renders government debt markets endogenously incomplete. A method for solving for optimal fiscal policy under these constraints is developed. Such policy is found to be intermediate between that implied by the complete insurance (Ramsey) model and a model with exogenously incomplete debt markets. In contrast to optimal Ramsey policy, optimal policy in this model is consistent with a variety of stylized fiscal policy facts such as the high persistence of labor tax rates and debt levels and the positive covariance between government spending and the value of government debt sales.     

Optimal linear income taxation with partial information

This letter presents a preliminary analysis of a tax problem whereby the tax function can depend not only on income but also on variables which are correlated with ‘earning ability’ and are known to the government. Our main result suggests that the tax system improved through increased use of such variables, and the optimal tax rate becomes larger.     

Optimal income taxation with a stationarity constraint in a dynamic stochastic economy

We consider the optimal nonlinear income taxation problem in a dynamic, stochastic environment when the government cannot change the tax rule as uncertainty resolves. Due to such a stationarity constraint, our taxation problem is reduced to a static one over an expanded type space that incorporates type evolution. We strengthen the argument in the static model that the zero top marginal tax rate result is of little practical importance because it only applies to the top of the expanded type space. If the maximal type increases over time, the person with top ability in any period but the last has a positive marginal tax rate.     

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.