On the importance of public choice in migration models

"Recent general equilibrium Tiebout models that use single-crossing indifference curves to establish a migration equilibrium incorporate both voting and migration decisions. These models have concentrated on the important question of the existence of an equilibrium, but the incorporation of both voting and migration has important efficiency consequences as well. This paper demonstrates the important effect of the interaction of voting and migration on efficiency conditions by showing that head taxes (which are generally considered to provide efficient migration incentives with constant marginal congestion costs) do not provide incentives for efficient migration decisions unless the public choice mechanism results in optimal public service provision within jurisdictions."     

Voting in small networks with cross-pressure

We present a model of participation in elections in small networks, in which citizens suffer from cross-pressures if voting against the alternative preferred by some of their social contacts. We analyze how the existence of cross-pressures may shape voting decisions, and so, political outcomes; and how parties may exploit this effect to their interest. We characterize the strong perfect equilibria of the game and show that, in equilibrium, the social network determines which party wins the election. We also show that to dispose of the citizens better connected in the network with the other faction is not a guarantee to win the election.      

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.     

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.     

Social equilibrium and cycles on compact sets

One proof of existence of general equilibrium assumes convexity and continuity of a preference correspondence on a compact convex feasible set W. Here the existence of a local equilibrium for a preference field which satisfies, not convexity, but the weaker local acyclicity is shown. The theorem is then applied to a voting game, σ, without veto players. It is shown that if the dimension of the policy space is no greater than ν(σ) ? 2, where ν(σ) is the Nakamura number of the game, then no local cycles may occur and a local equilibrium must exist. With convex preferences, then, there will exist a choice of the game from W.     

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.     

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.     

Voting under ignorance of job skills of unemployed: the overtaxation bias

Usual models on voting over basic income–flat tax schedules rest on the assumption that voters know the whole distribution of skills even if at equilibrium some individuals do not work. If individuals’ productivity remains unknown until they work, it may be more convincing to assume that voters have only beliefs about the distribution of skills and that a learning process takes place. In this paper, at each period, individuals vote according to their beliefs which are updated when getting new information from the job market. The voting process converges towards some steady-state equilibrium that depends on both the true distribution of skills and the initial beliefs. The equilibrium tax rate is higher than (or equal to) the tax rate achieved in the perfect information framework. An illustration is provided on French data: if voters are over-pessimistic as to the potential productivity of unemployed people, majority voting may lock the economy in an “informational trap” with a high tax rate and a high level of inactivity.     

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.     

Endogenous Firm Objectives

We analyze the behavior of a monopolistic firm in general equilibrium when the firm's decisions are taken through shareholder voting. We show that, depending on the underlying distribution, rational voting may imply overproduction as well as underproduction, relative to the efficient level. Any initial distribution of shares is an equilibrium, if individuals do not recognize their influence on voting when trading shares. However, when they do, and there are no short–selling constraints, the only equilibrium is the efficient one. With short–selling constraints typically underproduction occurs. It is not market power itself causing underproduction, but the inability to perfectly trade the rights to market power.     

Voting with abstention

Most voting models in the literature neglect abstention, but is such a simplification justified? I investigate this question in a model with outside pressure on voters. For sequential voting (e.g., roll call votes), with and without an abstention option, there is a unique subgame perfect equilibrium, which implies that true majorities always succeed. Abstention can be an equilibrium strategy for some voters, in particular under complex decision rules (e.g., weighted voting, double majorities). Simultaneous voting often has a unique pure strategy equilibrium but also a plethora of mixed and pure/mixed strategy equilibria. Therefore, only with equilibrium selection, can we evaluate the consequences of neglecting abstention. For equal weight voting, equilibria selected by the procedure of Harsanyi and Selten change completely with an abstention option, even if abstention itself is not or rarely used. With small enough outside pressure, however, the selected equilibrium honors true majorities in both cases.     

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.     

Distributive politics with other-regarding preferences

This paper analyzes a nonsmooth model of probabilistic voting with two parties and a broad family of other-regarding behavior, including fairness and quasi-maximin preferences, income-dependent altruism, and inequity aversion. The paper provides conditions for equilibrium existence and uniqueness. It also characterizes the Nash equilibrium in pure strategies when parties hold either symmetric payoffs, or minor forms of asymmetries. The characterization shows that the two parties converge to an equilibrium policy that maximizes a mixture of a “self-regarding utilitarian” social welfare function and an aggregate of society's other-regarding preferences. These results are shown to be applicable to other nonsmooth frameworks, such as probabilistic voting with loss averse voters. The characterization also shows that the direction and the size of the inefficiencies emerging from electoral competition depend in a subtle way on the nature of the other-regarding preferences (and resp., loss aversion).     

Sequential voting with abstention

Dekel and Piccione [2000. Sequential voting procedures in symmetric binary elections. J. Polit. Economy 108, 34–55] have proven that information cascades do not necessarily affect the properties of information aggregation in sequential elections: under standard conditions, any symmetric equilibrium of a simultaneous voting mechanism is also an equilibrium of the correspondent sequential mechanism. We show that when voters can abstain, these results are sensitive to the introduction of an arbitrarily small cost of voting: the set of equilibria in the two mechanisms are generally disjoint; and the informative properties of the equilibrium sets can be ranked. If an appropriate q-rule is chosen, when the cost of voting is small the unique symmetric equilibrium of the simultaneous voting mechanism dominates all equilibria of the sequential mechanism.     

VOTING AND SOCIAL PRESSURE UNDER IMPERFECT INFORMATION

We develop a model in which costly voting in a large, two‐party election is a sequentially rational choice of strategic, self‐interested players who can reward fellow voters by forming stronger ties in a network formation coordination game. The predictions match a variety of stylized facts, including explaining why an individual's voting behavior may depend on what she knows about her friends' actions. Players have imperfect information about others' voting behavior, and we find that some degree of privacy may be necessary for voting in equilibrium, enabling hypocritical but useful social pressure. Our framework applies to any costly prosocial behavior.     

Voting by Successive Elimination and Strategic Candidacy

We study the impact of strategic choices of self-interested candidates of whether or not to enter an election. We focus on strategic candidacy in the context of the tree and binary voting procedures used by small groups such as committees. We offer a comprehensive analysis for the special but important case of voting by successive elimination. Strategic candidacy slightly enlarges the set of candidates that can be equilibrium outcomes relative to the traditional analysis which takes the set of candidates as fixed. Pareto-dominated candidates can be elected in equilibrium under voting by successive elimination when strategic candidacy is considered, in contrast with a fixed set of candidates. Journal of Economic Litterature Classification Numbers: D71, D72.     

Voting over income taxation

A major problem of the positive theory of income taxation is to explain why statutory income tax schedules in practice are marginal-rate progressive. While it is commonly believed that this is but a simple consequence of the fact that the number of relatively poor voters exceeds that of richer voters in general, putting this contention in a voting equilibrium context is not a trivial task. We do this here in the context of nonlinear taxation and attempt to provide a formal argument in support of this heuristic claim. We first establish the existence of mixed strategy equilibria and identify certain cases in which marginal-rate progressive taxes are chosen almost surely by the political parties. Unfortunately, we also find that if the tax policy space is not artificially constrained, the support of at least one equilibrium cannot be contained within the set of marginal-rate progressive taxes.     

Existence of equilibrium and stratification in local and hierarchical Tiebout economies with property taxes and voting

Summary. This paper present the first fully closed general equilibrium model of hierarchical and local public goods economies with the following features: (i) multiple agent types who are endowed with both some amount of private good (income) and a house, who are mobile between houses and jurisdictions, and who vote in local and national elections; (ii) multiple communities that finance a local public good through property taxes which are set in accordance with absolute majority rule; and (iii) a national government that produces a national public good financed through an income tax whose level is determined through majority rule voting. In contrast to previous models, no overly restrictive assumptions on preferences and technologies are required to prove the existence of an equilibrium in the presence of property taxation and voting. Thus, the existence of an equilibrium is proved without any of the major restrictions used in the past, and sufficient conditons for stratification of agents into communities based on their public good preferences and their wealth levels are found. This model lays the groundwork for a positive applied analysis of local public finance and intergovernmental relations. It furthermore builds the foundation for the first parameterized computable general equilibrium model of local public goods and fiscal federalism. Received: February 1, 1996; revised version August 9, 1996     

Financing Higher Education: A General Equilibrium Public Choice Approach*

A public choice approach is used to examine the level of a tax-financed grant chosen by a cohort, allowing for a wide range of interdependencies, including the goverment's budget constraint The existence of an externality is necessary, but not sufficient, for support of a grant It is shown that a majority voting equilibrium exists. Comparative static analyses are carried out using a minimum of assumptions about the structure of the model An increase in government expenditure for non-higher education purposes is associated with an increase in the preferred grant while an increase in private returns to education reduces the grant     

Bandwagons and Momentum in Sequential Voting

In this paper I show that an equilibrium exists to the sequential voting game in which a bandwagon begins with probability 1. These bandwagons are driven by a combination of beliefs and the desire of voters to vote for the winning candidate. Significantly, in this equilibrium the pivot probability for each voter is non-zero, even in an infinite population. Consequently, the bandwagons do not always start after one (or at most two) favourable decisions (as do economic cascades) and varying levels of informative voting are observed, consistent with observations from sequential voting in U.S. presidential primaries. Further, voters are exposed to counterintuitive incentives, referred to as "buyers' remorse", that have been attributed to real primary voters.
I also derive equilibrium behaviour in this environment when voting is simultaneous and compare the quality of information aggregation within each mechanism. I relate the conclusions to U.S. presidential primaries and find they are consistent with a common conclusion about the front-loading of the primary process: that in tight elections (with no front-runner) simultaneous voting is preferred, whereas in lopsided elections sequential voting is preferred. The superior performance of sequential voting in lopsided races is precisely because bandwagons occur.