Majority cycles in a multi-dimensional setting

Summary. We consider a set of alternatives (electoral platforms, bills, etc. ...) defined as a Cartesian product of k finite discrete sets. We assume that the preferences of the individuals (voters) are marginally single-peaked and separable. The main result of this paper states that the pairwise majority relation satisfies these two properties but that it might exhibit several cycles. This result is important when related to classical problems of multi-dimensional decisions such as logrolling and vote trading. We relate our result with a continuous version of it (McKelvey, 1976). Received: March 21, 2000; revised version: April 12, 2001     

MAJORITY RULE AND ELECTION MODELS

Abstract. This paper surveys the theoretical work that has been done on majority rule and economic models of elections. Section I provides an overview of the topic. Section 2 reviews the most important results that have been obtained about majority rule as an abstract collective choice rule. Section 3 identifies some alternative inferences that can be made from those results. Section 4 covers some models that include additional features that are present in political institutions where majority rule is used. Section 5 concentrates on some alternative election models and equilibrium concepts. Section 6 focuses on election models with abstentions and/or candidate uncertainty about voter behaviour. Section 7 compares and contrasts models where candidates are certain about what the voters'choices will be (contingent upon about the choices made by the candidates) and models where they are uncertain about those choices. Section 8 closes the survey by identifying some emerging areas of research.     

Voting on road congestion policy

This paper studies the political economy of urban traffic policy. A city council and a regional government (representing city and suburbs) decide respectively on parking fees and a road toll. Both charges are below the optimum when median voters in city and suburbs prefer cars to public transport sufficiently more than the average. Even if the city government would set an optimal road toll, the regional government blocks it when the median suburban voter prefers cars strongly enough. Letting the city control parking and road pricing may therefore increase chances of adoption of the latter. However, if the city controls parking and the region road pricing, the combined charges are higher than if the city controlled them both. Hence, when voters want all charges below the optimum, the involvement of two governments may be desirable. We also find that earmarking road pricing revenues for public transport is welfare-enhancing, compared to lump-sum redistribution, only if they are topped up by extra funds granted to the city by a higher level of government.     

A simple characterization of majority rule

Summary. Assuming an odd number of voters, E. S. Maskin recently provided a characterization of majority rule based on full transitivity. This paper characterizes majority rule with a set of axioms that includes two of Maskin's, dispenses with another, and contains weak versions of his other two axioms. It allows the number of voters to be odd or even. Received: December 23, 1998; revised version: May 10, 1999     

Bonus pay for teachers,spatial sorting,and student achievement

Bonus pay policy for teachers in the U.S. is analyzed in this paper. We quantitatively argue that, because of the decentralized education finance system in the U.S., this policy may lead to higher teacher and household sorting across school districts. This then may lead to higher variance of achievement and lower mean achievement. Formally, we use an equilibrium political economy model of education at which households, heterogeneous in exogenously set income, and teachers, heterogeneous in exogenously set quality, are endogenously allocated across two school districts. Public education expenditures, which includes teachers’ wage payment and non-teacher related education spending, are financed through local income taxation. Income tax rate in each district is determined via majority voting. Achievement depends on the efforts chosen by teachers and non-teacher related education spending. Teacher efficiency wage per unit of quality is determined at the national teacher labor market. We first calibrate our benchmark model by matching certain statistics from the U.S. data. Then in a computational experiment, we introduce bonus pay for teachers which rises with average achievement. We find that for the recently observed level of average bonus pay (6.59% of average base salary), variance of achievement is 2.46% higher and mean achievement is 1.79% lower than the benchmark. Variance of achievement reaches its peak when average bonus pay is 14.06% and then it starts falling. Also, mean achievement always falls as average bonus pay rises.     

The political economy of contributive pensions in developing countries

This paper sheds light on the role of public institutions as a way to reduce tax evasion through a close link between payroll taxation and pension benefits. We use a political economy model in which agents have the possibility to hide part of their earnings in order to avoid taxation and, where the public system is more efficient in providing annuitized pension benefits than the private sector. We show that in the absence of evasion costs, agents are indifferent to the tax rate level as they can always perfectly adapt compliance so as to face their preferred effective tax rate. There is unanimity in favour of the maximum tax rate and, the public pension system is found to be partially contributive in order to increase tax compliance and thus the resources collected. This, in turn, enables higher redistribution toward the worst-off agents. When evasion costs are introduced, perfect substitutability between compliance and taxation breaks down. At the majority-voting equilibrium, individuals at the bottom of the income distribution who are in favour of more redistribution, and those at the top who want to transfer more resources to the old age, form a coalition against middle-income agents, in favour of high tax rates. In addition to the previous tax base argument, the optimal level of the Bismarkian pillar is now chosen so as to account for political support.     

Resisting economic integration when industry location is uncertain

This paper analyses the political determination of transportation costs in a new economic geography model. In a benchmark case with certainty about where agglomeration takes place, a majority of voters favour economic integration and the resulting equilibrium is an industrialised core and a de-industrialised periphery. Allowing for uncertainty, a high level of trade costs may win the election and maintain the initial distribution of industry. The reason is that a coalition of risk-averse immobile factors of production votes for the status quo due to uncertainty about which region will attract industry if economic integration is pursued. Finally, the standard view that agglomeration is unambiguously beneficial to residents in the industrial centre is challenged by introducing costs of undertaking economic integration.     

An exercise in political economy of tax reform

If the tax rate is endogenously determined by majority voting, then a fully effective and costless reform resulting in full tax compliance may not be supported by a majority even when the evaders (or, avoiders) are only a minority.