Composition of Government Budget, Non-Single Peakedness, and Majority Voting

In this paper we study whether majority voting equilibria exist when preferences over public policies are not single peaked. The government levies a proportional income tax. Tax revenue is used to finance a uniform lump-sum transfer and public education. Individuals vote on the composition of the government budget. We show that the single-crossing property cannot be invoked to establish existence of a majority voting equilibrium. In a simple parametric example we find that cycles are pervasive.     

Existence of voting-market equilibria

We show the existence of an equilibrium in a model where private goods are allocated by markets and the public good (bad) is allocated by majority rule voting.     

Majority Voting over Publicly Provided Goods, Redistribution, and Income Taxation

Federal, state, and many local governments make decisions that involve taxation, redistribution, and provision of public goods. Positive models to study these issues encounter the well‐known problem that majority‐voting equilibrium (MVE) may fail to exist in such multidimensional models. In this paper, with reasonable restrictions on preferences, I provide sufficient conditions for the existence of an MVE in a model with linear income tax and government expenditure policies that affect individual labor/leisure choices. My majority‐voting result takes account of the possibility that low‐skill individuals will drop out of the labor force under some tax and expenditure configurations.     

Altruism and the Political Economy of Income Taxation

I develop a model in which altruistic agents vote over quadratic income tax schedules. Agents have heterogeneous preferences and productivities, and the model incorporates the incentive effects of taxation. The main result of the paper establishes the existence of a self-confirming majority rule equilibrium in which agents' labor supply decisions are optimal given their tax liabilities and the tax policy is a majority rule equilibrium given the labor supply decisions. In equilibrium the actions by all agents confirm their expectations, but such expectations may be incorrect out of equilibrium. The model generates majority rule voting equilibria that involve progressive taxation.     

Equilibrium among local jurisdictions: toward an integrated treatment of voting and residential choice

In models of local public goods with mobile consumers, existence of equilibrium is problematic. Difficulties with existence of equilibrium that arise in models with discrete locations and in models with voting are compounded when both features are introduced into the same model. We present conditions under which equilibrium exists in a model where freely mobile households choose community of residence and amount of housing consumption, and vote on the level of public goods provision. These conditions involve restrictions on preferences and the technology of public goods supply. At least some of these conditions appear consistent with empirical observations. We discuss the implications of the conditions, and their role in assuring existence of equilibrium. A series of computational examples provide illustrations of the way these conditions interact, and the difficulties that must be confronted if they are to be relaxed.     

Local public good provision: Voting,peer effects,and mobility

Few empirical strategies have been developed that investigate public provision under majority rule while taking explicit account of the constraints implied by mobility of households. The goal of this paper is to improve our understanding of voting in local communities when neighborhood quality depends on peer or neighborhood effects. We develop a new empirical approach which allows us to impose all restrictions that arise from locational equilibrium models with myopic voting simultaneously on the data generating process. We can then analyze how close myopic models come in replicating the main regularities about expenditures, taxes, sorting by income and housing observed in the data. We find that a myopic voting model that incorporates peer effects fits all dimensions of the data reasonably well.     

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.     

Public goods,voting, and growth

We study a parametric politico‐economic model of economic growth with productive public goods and public consumption goods. The provision of public goods is funded by a proportional tax. Agents are heterogeneous in their initial capital endowments, discount factors, and the relative weights of public consumption in overall private utility. They vote on the shares of public goods in gross domestic products (GDP). We propose a definition of voting equilibrium, prove the existence and provide a characterization of voting equilibria, and obtain a closed‐form solution for the voting outcomes. Also we introduce a “fictitious” representative agent and interpret the outcome of voting as a choice made by a central planner for his benefit. Finally, we undertake comparative static analysis of the shares of public goods in GDP and of the rate of balanced growth with respect to the discount factors and the preferences for public consumption. The results of this analysis suggest that the representative‐agent version of our model is capable of capturing the interaction between many voting heterogeneous agents only if the heterogeneity is one‐dimensional.     

Income distribution and tax structure: Empirical test of the Meltzer-Richard hypothesis

The Meltzer-Richard hypothesis that more unequal income distribution will create a majority for more redistribution has generated much research, but little empirical support. The empirical literature has concentrated on cross-country studies and the size of the public sector, and the results broadly do not indicate more redistribution with more inequality. This analysis suggests that the hypothesis should be investigated in a more homogenous setting with comparable institutions and with an explicit decision about redistribution (here tax structure). New data on poll tax and property tax in decentralized government in Norway are exploited. We show how the multi-dimensional decision can be analyzed as majority rule assuming intermediate preferences. In the econometric analysis, instruments are used to account for endogeneity of income level and income distribution. The estimated model supports the understanding that more unequal income distribution implies a shift in the tax burden from poll tax to property taxes and thereby gives more redistribution.     

School Finance Induced Migration and Stratification Patterns: The Impact of Private School Vouchers

This paper introduces a general equilibrium model of public school finance that includes: (i) multiple school districts that finance local public schools via property taxes set by majority vote; (ii) multiple neighborhoods within school districts where each neighborhood is characterized by a quality level of housing; (iii) local public schools that are obligated to admit all interested students who reside within the school district; (iv) private schools that function as clubs of parents who share the cost of the private school equally and who can choose to exclude others; (v) an educational production process that depends on both per pupil spending and average peer quality within the school; and (vi) individual peer quality levels that are correlated with the socioeconomic status of households. Since it allows for various degrees of imperfect stratification of residents across communities, the model is well suited for investigating empirically relevant migration forces induced by school finance reform proposals. The abstract model itself, however, is too complex to yield many analytic results. A computational counterpart to the model isnb therefore developed, calibrated to data, and utilized for policy experiments. In particular, the impact of vouchers in the context of different types of prevoucher educational finance systems is investigated, and it is found that migration patterns in general would cause vouchers to benefit public schools in poor communities while hurting public schools in wealthy communities.     

Local Residential Sorting and Public Goods Provision: A Classroom Demonstration

This classroom exercise illustrates the Tiebout (1956) hypothesis that residential sorting across multiple jurisdictions leads to a more efficient allocation of local public goods. The exercise places students with heterogeneous preferences over a public good into a single classroom community. A simple voting mechanism determines the level of public good provision in the community. Next, the classroom is divided in two, and students may choose to move between the two smaller communities, sorting themselves according to their preferences for public goods. The exercise places cost on movement at first, then allows for costless sorting. Students have the opportunity to observe how social welfare rises through successive rounds of the exercise, as sorting becomes more complete. They may also observe how immobile individuals can become worse off because of incomplete sorting when the Tiebout assumptions do not hold perfectly.     

Tiebout and redistribution in a model of residential and political choice

The paper considers a two-community model with freely mobile individuals. Individuals differ not only in their incomes, but also in their tastes for a local public good. In each jurisdiction, the amount of public services is determined by majority vote of the inhabitants, and local spending is financed by a residence-based linear income tax. When making their residential and political choices, individuals thus face a trade-off between the provisionary and redistributive effects of policies. We analyze this trade-off and show that Tiebout-like sorting equilibria often exist. If the spread in tastes among individuals is very large, an almost perfect sorting according to preferences emerges; otherwise, a partial sorting prevails and stratification into rich and poor communities is more pronounced. Importantly, we demonstrate that all these sorting equilibria exist whether or not individuals are allowed to relocate after voting.     

A voting model for the allocation of public goods: Existence of an equilibrium

It is well known that equilibria may not exist for majority voting over multidimensional policy spaces. This paper shows that certain institutional constraints can be imposed upon the voting process to ensure existence of a restricted equilibrium. A restricted equilibrium point must defeat only those points connected to it by one of an exogenously given set of linearly independent voting vectors. Using this procedure in a general equilibrium model to determine demands for public goods, existence of a general political equilibrium is proven. The equilibrium need not be Pareto optimal and may be manipulated by changing the vectors.     

Tiebout with Politics: Capital Tax Competition and Constitutional Choices

This paper examines how capital tax competition affects jurisdiction formation. We describe a non-cooperative locational model of public goods provision choices, where the levels of taxation and the local public good varieties provided within jurisdictions are selected by majority voting, and where equilibrium jurisdictions consist of consumers with similar tastes. We show that interjurisdictional tax competition results in an enlargement of jurisdictional boundaries, and, even in the absence of intrajurisdictional transfers, can raise welfare for all members of a jurisdiction.     

Endogenous Public Expenditures on Education

We construct a model of the determination of public funding of education through majority voting. Households have the option of privately supplementing public education. Alternatively, they can opt out of public education completely and choose private education. We find that in general the single‐crossing property cannot be used to establish existence of a majority voting equilibrium. Numerical solutions of the model reveal (i) when public education inputs and private supplements are substitutes, private school enrollment is often zero; and (ii) the funding level for public education is very sensitive to the productivity of private supplements and the elasticity of substitution between public inputs and private supplements.     

Is the median voter decisive? Evidence from referenda voting patterns

This paper examines whether the voter with the median income is decisive in local spending decisions. Previous tests have relied on cross-sectional data while we make use of a pair of California referenda to estimate a first difference specification. The referenda proposed to lower the required vote share for passing local educational bonding initiatives from 67 to 50% and 67 to 55%, respectively. We find that voters rationally consider future public service decisions when deciding how to vote on voting rules. However, the empirical evidence strongly suggests that an income percentile below the median is decisive for majority voting rules, especially in communities that have a large share of high-income voters with attributes that suggest low demand for public services. Based on a model that explicitly recognizes that each community contains voters with both high and low demand for public school spending, we also find that an increase in the share of low demand voters is associated with a lower decisive voter income percentile for the high demand group. This two type model implies that our low demand types (individuals over age 45 with no children) have demands that are 45% lower than other voters. Collectively, these findings are consistent with high-income voters with weak preferences for public educational services voting with the poor against increases in public spending on education.     

On the political economy of zoning

Households choose a community in a metropolitan area and collectively set a minimum housing quality and a property tax to finance a local public good. The collective imposition of a lower bound on housing consumption induces an income-stratified equilibrium in a specification where meaningful community differentiation would not arise without zoning. We show computationally that zoning restrictions are likely to be stringent, with a majority facing a binding constraint in communities that permit it. By inducing a stratified equilibrium, zoning causes Tiebout-welfare gains in aggregate but with large welfare transfers. Relative to stratified equilibrium without zoning, the zoning equilibrium is significantly more efficient as it reduces housing-market distortions.     

The ratio equilibrium and a voting game in a public goods economy

An economic model of the allocation process with public goods is presented. We define a concept of equilibrium and prove the existence. Next we present a voting game in which a level of the public goods to be produced is decided. We prove that the core of the voting game and the equilibria exist simultaneously, and that they coincide.     

Individual welfare,majority voting,and the properties of a linear income tax

A fundamental problem in public finance is the determination of parameters of income tax functions. This paper focuses on this problem in the context of a linear tax function whose parameters are chosen according to majority vote by the taxpayers. The possibility of conflict between high national income and distributional equity is explored and it is found that, even when the distribution of earning power is rightward skew, majority voting does not necessarily lead to the adoption of a tax function which has the average tax rate rising with income.     

Efficiency, monotonicity and rationality in public goods economies

Summary. In economies with public goods, we identify a necessary and sufficient condition for the existence of cost monotonic, Pareto optimal and individually rational mechanisms. These exist if and only if the preferences of the agents satisfy what we call the equal ordering property. We also show that when this condition holds the egalitarian equivalent correspondence is the only cost monotonic selection from the core of the economy. Furthermore, it is unambiguous in the sense that the agents are indifferent among all the allocations in it. Received: February 26, 1996; revised version: January 31, 1997