Optimal Tax Scheme Research Articles

Pigouvian algorithmic platform design

There are rising concerns that reinforcement algorithms might learn tacit collusion in oligopolistic pricing, and moreover that the resulting ‘black box’ strategies would be difficult to regulate. Here, I exploit a strong connection between evolutionary game theory and reinforcement learning to show when the latter’s rest points are Bayes–Nash equilibria, but also to derive a system of Pigouvian taxes guaranteed to implement an (unknown) socially optimal outcome of an oligopoly pricing game. Finally, I illustrate reinforcement learning of equilibrium play via simulation, which provides evidence of the capacity of reinforcement algorithms to collude in a very simple setting, but the introduction of the optimal tax scheme induces a competitive outcome.

Calculating Optimal Nonlinear Taxes Using Censored Income Data

Approximating the skill distribution via observed incomes is a central aspect of estimating the optimal redistributive taxes. Emerging economies may exhibit high minimum wage take-up rates, hiding some of the heterogeneity in skill distribution. This paper shows in the context of Turkey that accounting for the minimum wage policy when approximating skills considerably alters the estimates of optimal redistributive income taxes. Once the mass around the minimum wage is treated as left censored, the optimal tax scheme is significantly more redistributive in comparison to assuming no censoring. This is because allocating some of the mass around the minimum wage towards the lower parts of the skill distribution reduces the total skill stock and increases the standard deviation of the distribution. Consequently, the optimal marginal income taxes become higher, especially for the middle-skill group.

Nonlinear taxation and international mobility in general equilibrium

Migration and general equilibrium forces are both known to limit the extent of redistribution due to a migration threat and a trickle-down rationale, respectively. In this paper, we consider these two forces jointly and study the optimal nonlinear taxation of internationally mobile workers in general equilibrium. We show that both forces partly offset each other. In general equilibrium, migration may lower the bottom tax rate but raises the top tax rate, challenging the classical migration-threat argument. Moreover, we demonstrate that migration responses weaken the trickle-down rationale. Both findings can be explained by a novel wage effect on migration and a migration effect on wages, calling for higher top tax rates to amplify pre-tax wage inequality and prevent high-skilled emigration. We calibrate our model to the U.S. economy and illustrate the new effects by comparing the optimal tax schemes with and without migration, as well as with and without endogeneity of wages.

A Stackelberg game model with tax for regional air pollution control

The command-and-control regulation is likely inefficient and costly. This study investigates a regional pollution control scheme with tax (RPCST) under which the central government sets the tax rate under a given pollutant reduction quota and local governments determine their pollution removal rates based on the central government’s policy. First, a one-leader-multi-follower (OLMF) Stackelberg game model is formulated, in which the central government is the leader and the local governments are the followers. Then, a procedure based on bilevel programming and relaxation method is applied to solve the OLMF model. Finally, a case study analyzing the SO2 reduction of the Yangtze River Delta in China is conducted to demonstrate the effectiveness of the RPCST. The results show that RPCST works better than the current command-and-control scheme. Our analysis provides a guideline for governments to design optimal tax schemes to effectively solve the regional air pollution crisis.

Optimal Redistributive Policy Under Disaster Risk: Self-Protection and Social Mitigation

This paper examines the optimal mixed taxation of polluting goods and subsidies for self-protection under nonlinear income tax. The novel contribution of this paper is to take disaster risk into account, the probability which is determined by the total amount of polluting goods consumed by all individuals. I derive the properties of optimal allocations in the first and second best scenarios, and the tax wedges. In addition, I obtain the optimal tax scheme in cases where the government cannot observe each individual's consumption of polluting goods. The optimal tax rate on polluting goods includes both the Pigouvian term and the screening term, which is not shown in other tax schedules.

Tax on name

How to tax the name? We answer this question by introducing a name market in the sense of Tadelis (1999) into an endogenous growth model in which an informational asymmetry exists between capital producing borrowers and lenders. We show a name market endogenously arises to screen the borrowers but at the cost of crowding out investment. We derive the optimal name price that trades off the screening effect and the crowding out effect and show this optimal price decreases with the investor protection level. An optimal tax scheme should tax the name to this optimal price and reimburse the tax revenue to the name buyer. When the investor protection level is low, the net worth could be lower than the optimal name price, so capital income tax shall be allowed to subsidy the name purchase to activate the name market. Overall, we show the optimal tax scheme in the presence of a name market depends crucially on the country’s investor protection level.

A Tax Plan for Endogenous Innovation

In times when elevated government debt raises concerns about dimmer global growth prospects, we ask: How can the government provide incentives for innovation in a fiscally sustainable way? We address this question by examining the Ramsey problem of finding optimal tax and subsidy schemes in a model in which growth is endogenously sustained by risky innovation. We characterize the shadow value of growth and entry in the innovation sector. We find that a profit tax is required to replicate the first-best in order to balance the externalities associated with innovative activity. At the second-best, the profit tax is designed to optimally respond to growth shocks above and beyond what is prescribed by the standard tax-smoothing incentives in economies with exogenous growth. The interplay of risk and innovation opens a new margin for optimal taxation.

Health, responsibility and taxation with a fresh start

In a model where individuals differ in both their health care needs and their lifestyle preferences, we examine the fair provision of health care when those who regret their initial decisions are granted a fresh start. By considering that each agent chooses how to allocate a given amount of resources between medical and non-medical consumption, we characterise the scheme of taxes and health treatments that maximises social preferences. These preferences allow the planner to make welfare assessments when it is acceptable to compensate agents who have changed their preferences and/or who are endowed with a bad medical disposition. We show that the optimal tax scheme does not only pay additional treatments for those who are not in a good health state, but also protectively induces agents to reduce their non-medical consumption in order to limit a possible future regret.

Optimal Taxation of Opportunity Inputs

This paper studies the optimal taxation for opportunity inputs, such as education. In a model of parental investment and social preferences that might value equal opportunity, I use budget-neutral tax reforms to find the optimal tax scheme as a function of policy elasticities and income effects. Later, the model is expanded to introduce parental and child heterogeneity, externalities, and egalitarian concerns for adult welfare. Simulations, using data on education funding, suggest that egalitarian preferences induce significant redistribution of opportunity inputs. Under the optimal tax scheme, the vast majority of households would rely solely on public funding of education, which is in line with the patterns observed in most countries and, interestingly, is a result that is robust to the presence of heterogeneity or externalities.

Fiscal Devaluation and Structural Gaps

The paper characterizes the optimal tax scheme in an open economy with structural inefficiencies on the labor market and on government size. On analytical grounds first, we show that the economy can use fiscal revaluation to exploit the terms of trade externality and to dampen the impact of an excessive public spending. However, if real labor market rigidities are large enough, fiscal devaluation may be desirable. Second, we provide a quantitative assessment of the optimal tax reform using France as the benchmark economy. Our results show that France would benefit more from fiscal devaluation than a economy where the labor market is more flexible, as the US. We also show that the welfare gains from the optimal tax reform crucially depend on the ability of the government to target its optimal size.

Health, fairness and taxation

We consider a model where agents differ in their preferences about consumption labor and health, in their (health-dependent) earning ability, and in their health disposition. We study the joint taxation of income and health expenditure, under incentive-compatibility constraints, on the basis of efficiency and fairness principles. The fairness principles we consider propose, on one side, to reduce inequalities deriving from factors that do not depend on individuals’ responsibility. On the other side, redistribution should be precluded at least when all agents in the economy have equal physical characteristics. We construct, on the basis of such principles, a particular social welfare function. Then we give the explicit formula for the comparison of tax policies: we prove that a tax reform should always benefit agents with the worst earning ability and the worst health disposition first. Finally, in some cases, at the bottom of the income distribution the optimal tax scheme should exhibit non-uniform tax rates over health expenditure and non-positive average marginal tax rates over income.

Taxing Human Capital: A Good Idea

This paper studies a Ramsey optimal taxation model with human capital in an infinite-horizon setting. Contrary to Jones, Manuelli, and Rossi (1997), the human capital production function does not include the current stock of human capital as a production factor. As a result, the return to human capital, namely labor income, does not vanish in equilibrium. In a stationary state, the household under-invests in human capital relative to the fi rst best, i.e., education is distorted. Human capital is effectively taxed. The optimal tax scheme prescribes making the cost of education not fully tax-deductible.

Taxing Human Capital: A Good Idea

This paper studies a Ramsey optimal taxation model with human capital in an infinite-horizon setting. Contrary to Jones, Manuelli, and Rossi (1997), the human capital production function does not include the current stock of human capital as a production factor. As a result, the return to human capital, namely labor income, does not vanish in equilibrium. In a stationary state, the household underinvests in human capital relative to the first best, i.e., education is distorted. Human capital is effectively taxed. The optimal tax scheme prescribes making the cost of education not fully tax-deductible.

A Normative Analysis of Housing‐Related Tax Policy in a General Equilibrium Model of Housing Quality and Prices

AbstractWe evaluate an array of housing‐related tax policies in a general equilibrium model with endogenous housing quality and prices. The local government facilitates the provision of local public amenities, financed by an array of housing‐related taxes, including a developer gross revenue tax, a property tax, a land tax, and a development license fee. In a competitive spatial equilibrium, all households optimize and reach the same utility, all monopolistically competitive developers optimize and receive zero profit, and both housing and land markets clear. We examine the effects of various tax policies on housing quality, housing prices, land rent, as well as the population and housing density. By evaluating quantitatively the welfare of the local economy, we establish a globally optimal tax scheme in the housing market: complete elimination of the property tax and imposition of a lower gross revenue tax (possibly fully eliminated) than both development and land taxes.

Negative Marginal Tax Rates and Heterogeneity

Heterogeneity is an important determinant of the shape of optimal tax schemes. This is shown here in a model à la Mirrlees. The agents differ in their productivities and opportunity costs of work, but their labor supplies depend only on a given unidimensional combination of these two characteristics. Conditions are provided under which marginal tax rates are everywhere nonnegative. This is the case when work opportunity costs are distributed independently of income. But one can also get negative marginal tax rates, in particular at the bottom of the income distribution. A numerical illustration is given, based on UK data. (JEL H21, H24, H31, J22)

Optimum income taxation and layoff taxes

This paper analyzes optimum income taxation in a model with endogenous job destruction that gives rise to unemployment. It is shown that optimal tax schemes comprise both payroll and layoff taxes when the state provides public unemployment insurance and aims at redistributing income. The optimal layoff tax is equal to the social cost of job destruction, which amounts to the sum of unemployment benefits (that the state pays to unemployed workers) and payroll taxes (that the state does not get when workers are unemployed).

Importer and Producer Petroleum Taxation: A Geo-Political Model

We derive non-cooperative Nash equilibrium (NE) importer and exporter petroleum excise taxes given full within-group tax coordination, but no coordination between groups, assuming that importers do not produce and exporters do not consume petroleum, and petroleum consumption causes a global externality. The aggregate NE tax is found to consist of an externality component and an optimal tariff component, and exceeds the standard Pigou tax. The environmental component in isolation is however less than the Pigou tax. With Stackelberg tax setting, the leader's tax is higher than in the Ne, and the follower's tax lower, and the overall tax higher. We show that importers prefer to set a tax instead of an import quota, since exporters' optimal response to a quota is a higher tax. An optimal cap-and-trade scheme will thus fare worse than an optimal tax scheme for importers, and will imply greater petroleum consumption and carbon emissions. When exporters behave as a cartel satisfying demand at a fixed export price, exporters' optimal tax is higher, while importers tax rule is Pigouvian. Exporters then gain at the expense of importers.

Environmental voluntary behaviour and crowding-out effects: regulation or laissez-faire?

The purpose of this paper is to investigate what the consequences are if environmental regulation in terms of a price mechanism (effluent charges) erodes moral motivation (crowding-out). The findings suggest that a regime relying on voluntarism can do better than a mandatory regime depending on the number of individuals being intrinsically motivated, degree of moral motivation, crowding effects, and whether or not ethical utilities are accounted for. The optimal tax scheme is a discriminatory one with rates that differ across moral and non-moral individuals. This tax-scheme induces the first-best solution when social costs are considered, while the same solution becomes unattainable for a social welfare function. The model provides a rationale for why governments sometimes rely on voluntary effort.

The Unified Enterprise Tax and SOEs in China

Currently proposals are actively circulating in China to move to a unified enterprise tax structure with similar tax treatment of state-owned enterprises (SOEs), other private enterprises (OPE) and foreign investment enterprises (FIEs). FIEs presently receive significant tax preferences through a sharply lower tax rate, tax holidays and other provisions. Here we use analytical representations of SOE behavior, which differ from that of the competitive firm, to argue that a unified tax structure may not be a desirable tax change and that typically a higher tax rate on SOEs is called for on efficiency grounds. Using a worker control model with endogenously determined shirking, taxes on SOEs reduce shirking and a reduced SOE tax rate under a unified tax relaxes discipline on SOEs and losses result. Our results indicate a 0.26% of GDP welfare loss using 2004 data from a unified tax, and larger loss relative to an optimal tax scheme. Alternatively, if we use a managerial control model variant, we find a 0.19% welfare loss from a unified tax, and larger losses relative to initial higher SOE tax rates.

The Optimal Income Taxation of Couples as a Multi-Dimensional Screening Problem

This paper explores the optimal income tax treatment of couples. Each couple is modelled as a single agent supplying labor along two dimensions: primary-earner and secondary-earner labor supply. We consider fully general nonlinear income tax schedules which creates a multi-dimensional screening problem. We prove that, under regularity and separability assumptions for utility functions and for a wide class of social welfare functions, optimal tax schemes display negative jointness such that the tax rate on one person decreases in the earnings of the spouse. We also show that the tax on the secondary earner tends to zero asymptotically as the earnings of the primary earner becomes large. These results are valid both in models where secondary earners make only a binary labor supply choice (work or not work), and in models where both spouses make continuous labor supply decisions. In the latter case and in contrast to the multi-dimensional screening monopoly model, the optimal tax system is regular everywhere with no bunching for a wide set of parameters.