Optimal tax treatment of private contributions for public goods with and without warm glow preferences

Tax-favored contributions for financing some public goods may be a useful part of optimal nonlinear income tax and expenditure policy. There are two sides to the potential gain from subsidized donations. First, for a given level of public good provision, higher private donations from high earners than low earners eases the incentive compatibility constraint for donors and so can raise social welfare. This follows since considering a lower-paid job includes a perception of a drop in public good provision. Second, private donation reduces consumption, easing the resource constraint. This paper explores optimal policy, using first a model with standard preferences and then a model with a warm glow of giving. In addition to showing the conditions for the level of public goods, the paper considers the pattern of optimal subsidization across earnings levels. Analysis of optimal taxation with warm glow preferences is sensitive to the choice of preferences that are relevant for a social welfare evaluation. After considering optimal rules with formulations of social welfare which do and do not include warm glow utility, the paper considers the choice of normative criterion. Like the earlier literature, this paper assumes that organizing private donations is costless while tax collection has a deadweight burden. Since private charitable fundraising is very far from costless, the paper is an exploration of economic mechanisms, not a direct guide to policy.     

Public Versus Private Provision of Public Goods

It is well known that public goods are underprovided in a static setting with voluntary contributions. Public provision—in a median voter framework with proportional taxation—generally exceeds private provision. This paper compares private and public provision of public goods in a dynamic setting. In a dynamic setting, voluntary donations can result in efficient provision. Also, majority‐rule solutions exist even when taxes are not proportional to income. At low discount factors, public provision tends to exceed private provision. As patience increases, however, private provision may exceed public provision. This occurs because many outcomes with a low level of public good provision—and potentially large targeted transfer payments to particular individuals—become sustainable under public provision. Under private provision, however, large targeted transfers are unsustainable. To finance the public good, private provision tends to result in benefit taxation, and public provision tends to result in progressive taxation.     

Old‐age Social Security versus Forward Intergenerational Public Goods Provision

This paper introduces an overlapping‐generations model with earnings heterogeneity and borrowing constraints. The labour income tax and the allocation of tax revenue between social security and forward intergenerational public goods are determined in a bidimensional majoritarian voting game played by successive generations. The political equilibrium is characterized by an ends‐against‐the‐middle equilibrium where low‐income and high‐income individuals form a coalition in favour of a lower tax rate and less social security while middle‐income individuals favour a higher tax rate and greater social security. Government spending then shifts from social security to public goods provision if higher wage inequality is associated with a borrowing constraint and a high elasticity of marginal utility of youth consumption.     

Can private giving promote economic segregation?

This paper explores the theoretical relationship between tax relief for private giving and individual location choice. Tax relief for giving may receive political support at the local level because of its distributional effects; however, through its effects on public provision choices, such relief may affect individual location decisions and, in so doing, has an impact on the jurisdictional configurations that can arise in equilibrium. For some demographic parameters it will promote economic segregation rather than integration, while for others, the opposite is true. In the former scenario, a ban on local tax incentives for giving would be Pareto improving and would thus be sanctioned by a majority-supported federal tax constitution.     

Decentralization and international tax competition

This paper models tax competition between two countries that are divided into regions. In the first stage of the game, the strategy variable for each country is the division of a continuum of public goods between central and regional government provision. In the second stage, the central and regional governments choose their tax rates on capital. A country's decentralization level serves as a strategic tool through its influence on the mix of horizontal and vertical externalities that exists under tax competition. In contrast to standard tax competition models, decentralizing the provision of public goods may improve welfare.     

Consuming your way to efficiency: Public goods provision through non-distortionary tax lotteries

We revisit the classical result that taxation of private consumption is distortionary and therefore precludes the efficient provision of public goods. We introduce a nonlinear consumption tax which we call a ‘tax lottery’. Under this scheme, an ad-valorem consumption tax is supplemented with a lottery in which consumers can win cash prizes. The winning probabilities in this lottery depend on all consumers' private good consumption decisions. We show that for a given ad-valorem tax, an appropriately designed lottery can implement an efficient allocation in pure-strategy Nash equilibrium. The lottery component corrects the distortion in private consumption due to the ad-valorem tax, while the resulting tax revenue is sufficient to efficiently provide the public good and pay out the lottery prize.     

Poverty alleviation and tax policy

This paper examines public good provision and tax policy—optimal non-linear income taxation and linear commodity taxation—when the government departs from purely welfarist objective function and seeks to minimise poverty. This assumption reflects much policy discussion and may help understand some divergences of practical tax policy from lessons in optimal tax analysis. In contrast to Atkinson and Stiglitz (J. Public Econom. 6 (1976) 55), it may be optimal to use differentiated commodity tax rates, including the taxation of savings, even if preferences are separable in goods and leisure. The optimal effective marginal tax rate at the bottom of the distribution may be negative, suggesting that wage subsidy schemes can be optimal. Finally, optimal provision of a public good is analysed under poverty minimisation.     

Collective Choice and Voluntary Provision of Public Goods*

Some public goods are provided entirely with private contributions, others with a mixture of public and private funding, and still others are entirely publicly funded. In order to study this variation, a model of dual provision is developed that endogenizes public and private funding. Households vote over an income tax that finances public supply of the good and on whether to permit private contributions. While permitting private contributions may lead to a reduction in total provision, a majority always favors permitting private contributions. Results are developed for small and large economies, and the relevance of nonexcludability and noncongestion are investigated.     

User Charges as Redistributive Devices

In this model, a mix of public and private provision of private goods arises naturally in the economy. We characterize the social optimum in the presence of a linear tax/public expenditure system and show how a user charge can be welfare- or Pareto-improving, when the users are the poor. The charge discourages the rich from opting into the public program and allows the policymaker to restructure the tax/expenditure system in a way that is beneficial for the poor. If the ensuing welfare gain is large enough to outweigh the loss for the remaining users, a charge is desirable.     

Group size paradox and public goods

In an economy with voluntarily provided public goods and private product varieties, and a general class of CES preferences, it is shown that aggregate public good contribution follows an inverted-U pattern with respect to group size when private and public goods are substitutable in preferences. With complementarity, however, aggregate provision grows monotonically with group size.     

Public provision of private child goods

This paper analyzes the public provision of private goods for children in a politico-economic model with endogenous fertility. The government provides every child with goods that can also be purchased by parents in private markets, and the level of provision is determined by majority rule. Households with many children benefit from the public provision more than those with fewer children; thus, a political conflict arises between them. The distribution of the number of children across households, which is a crucial factor for determining which group is politically dominant, is endogenously determined by households' fertility decision. The sequential interaction between fertility and political decisions might lead to multiple equilibria: equilibrium with high fertility and low-private/public-spending ratio and equilibrium with low fertility and high-private/public-spending ratio. Our model could explain the large differences in fertility and structure of child-related spending across countries.     

Optimal Provision of Public Goods: A Synthesis*

The standard approach to the optimal provision of public goods highlights the importance of distortionary taxation and distributional concerns. A new approach neutralizes distributional concerns by adjusting the income tax schedule. We demonstrate that both approaches are derived from the same basic formula. We also take the new approach further by deriving an intuitive formula for the optimal level of public goods, without imposing strong assumptions on preferences. This formula shows that distortionary taxation has a role to play, as in the standard approach. However, the main determinants of optimal provision are different, and the modified Samuelson rule is likely to lead to underprovision.     

Ad‐valorem tax incidence and after‐tax price adjustments: evidence from Brazilian basic basket food

Abstract Recent empirical work on tax incidence suggests that after‐tax price responses are independent of the tax change direction. This paper investigates asymmetric price responses to ad‐valorem tax changes in the Brazilian food market for 10 goods in 16 states during the period 1994–2008. Our results suggest that when tax rates increase, tax full shifting occurs for 2 of the 10 goods and tax overshifting occurs for one of the 10 goods; the price response to tax cuts is an undershifting for all goods. Moreover, this last result is similar to our estimation of (average) tax incidence (undershifting). We also investigate the short‐term and long‐term relationships between prices and VAT rate parameters and find that prices seem to respond to tax shocks within four months.     

OPTIMAL CAPITAL TAXES FOR PUBLIC GOOD PROVISION*

This paper constructs a general equilibrium trade model of a small open economy that produces many traded private goods and one non-traded public consumption good. Trade in goods is free, but the country taxes the internationally mobile capital to finance the provision of the public good. Within this framework, the paper identifies the conditions under which the optimal policy on the internationally mobile capital calls for a tax. Under the assumptions that (i) the welfare function is concave with respect to the tax rate, and (ii) the net revenue-maximizing capital tax rate is positive, it is shown that the marginal cost of the public good always understates its social marginal cost.     

Optimal Redistribution with Productive Social Services

Publicly‐provided private goods are conventionally considered consumer goods. Departing from this perspective, we analyze the public provision of inputs that improve household productivity (e.g., education and childcare). In a two‐class economy with distorting taxation, public provision is always welfare improving with respect to pure taxation, given that the public input directly affects household productivity. Moreover, the case for public provision strengthens as households' heterogeneity in input demand fades out, contrary to consolidated results in the literature. The features of optimal provision schemes depend on the nature of publicly provided input, namely, if it substitutes household productive capacity or just helps households to exploit it.     

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.     

Tax Competition,Investment Irreversibility and the Provision of Public Goods

This article studies the effects of tax competition on the provision of public goods under business risk and partial irreversibility of investment. As will be shown, the provision of public goods changes over time and also depends on the business cycle. In particular, under source‐based taxation, in the short term, public goods can be optimally provided during a downturn. The converse is true during a recovery: in this case, they are underprovided. In the long term, however, tax competition does not affect capital accumulation. This means that the provision of public goods is unaffected by taxation.     

Donations in a recursive dynamic model

Abstract.  This paper studies how donations respond to unexpected permanent changes in income and tax rates in a recursive dynamic model. The dynamic approach yields several interesting insights. If marginal tax rates are progressive, a permanent jump in a household's income increases its consumption and donations in the short run, but has no effect in the long run. The permanent income elasticity of current donations is likely to exceed one. If the marginal tax rate is flat, the jump in income raises consumption and donations in both the short and the long run. A permanent marginal tax rate cut raises consumption and donations in the long run if marginal tax rates are progressive, while it reduces donations in the short run if it has little direct impact on tax payments. If the marginal tax rate is flat, a tax cut has a positive effect on consumption in both the short and the long run, but has an ambiguous effect on donations.     

A journey from a corruption port to a tax haven

We sketch a model according to which tax havens attract corporate income generated in corrupted countries. We consider the choice of optimal bribes by corrupt officials and the share of the proceeds of corruption that will be concealed in tax havens. Our framework provides novel welfare implications of tax havens. First, tax havens’ services have a positive effect on welfare through encouraging investment by firms fearing expropriation and bribes in corrupt countries. Second, by supporting corruption and the concealment of officials’ bribes, tax havens discourage the provision of public goods and hence have also a negative effect on welfare. The net welfare effect depends on the specified preferences and parameters. One source of this ambiguity is that the presence of multinational firms in corrupted countries is positively associated with demanding tax havens’ operations. Using firm-level data, we provide new empirical results supporting this hypothesis.     

Toward an efficiency rationale for the public provision of private goods

Public provision of a private goods is justified on efficiency grounds in a model with no redistributive preferences. A government’s involvement in the provision of a private good generates information about preferences that facilitates more efficient revenue extraction for the provision of public goods. Public provision of the private good improves economic efficiency under a condition that is always fulfilled under independence and satisfied for an open set of joint distributions. The efficiency gains require that consumers cannot arbitrage the publicly provided private good, so our analysis applies to private goods where it is easy to keep track of the ultimate user, such as schooling and health care, but not to easily tradable consumer goods.