Article1991

Aggregation and Social Choice: A Mean Voter Theorem

279 citations0/0 files storedEconometrica

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Game Theory and Voting Systems Electoral Systems and Political Participation Opinion Dynamics and Social Influence

Abstract

A celebrated result of D. Black (1948) demonstrates the existence of a simple-majority winner when preferences are single-peaked. This paper provides a multidimensional analog of Black's median voter result. The authors provide conditions under which the mean voter's most preferred outcome is unbeatable according to a 64 percent majority rule. The conditions supporting this result represent a significant generalization of A. Caplin and B. Nalebuff (1988). The shift from median voter to mean voter requires a new mathematical approach; the authors introduce to economics a mathematical aggregation theorem due to A. Pr$8Ekopa (1971) and C. Borell (1975). Copyright 1991 by The Econometric Society.

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References

1951SOME THOUGHTS ON THE DISTRIBUTION OF EARNINGS 1 1948On the Rationale of Group Decision-making 1981Econometric Models of Probabilistic Choice 1967A Notion of Equilibrium and Its Possibility Under Majority Rule 1990The Empirical Content of the Roy Model 1979General Conditions for Global Intransitivities in Formal Voting Models 1973On a Class of Equilibrium Conditions for Majority Rule 1974The Theory of Income Distribution.

Cited by

2003Democracy Defended 1992Public Opinion and the Common Defense: Who Governs Military Spending in the United States?1995An Introduction to Vote-Counting Schemes 2008The New Palgrave Dictionary of Economics Online 2007The Mean Voter Theorem: Necessary and Sufficient Conditions for Convergent Equilibrium 1992Transformations of the commodity space, behavioral heterogeneity, and the aggregation problem 2003The Art of Making Everybody Happy: How to Prevent a Secession

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