Aggregation and Social Choice: A Mean Voter Theorem
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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Volume (Year): 59 (1991)
Issue (Month): 1 (January)
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- Greenberg, Joseph, 1979. "Consistent Majority Rules over Compact Sets of Alternatives," Econometrica, Econometric Society, vol. 47(3), pages 627-36, May.
- Gupta, Somesh Das, 1980. "Brunn-Minkowski inequality and its aftermath," Journal of Multivariate Analysis, Elsevier, vol. 10(3), pages 296-318, September.
- Andrew Caplin & Barry Nalebuff, 1990.
"Aggregation and Imperfect Competition: On the Existence of Equilibrium,"
Cowles Foundation Discussion Papers
937, Cowles Foundation for Research in Economics, Yale University.
- Caplin, Andrew & Nalebuff, Barry, 1991. "Aggregation and Imperfect Competition: On the Existence of Equilibrium," Econometrica, Econometric Society, vol. 59(1), pages 25-59, January.
- Rubinstein, Ariel, 1979. "A Note about the "Nowhere Denseness" of Societies Having an Equilibrium under Majority Rule," Econometrica, Econometric Society, vol. 47(2), pages 511-14, March.
- Kramer, Gerald H, 1973. "On a Class of Equilibrium Conditions for Majority Rule," Econometrica, Econometric Society, vol. 41(2), pages 285-97, March.
- Heckman, James J & Honore, Bo E, 1990. "The Empirical Content of the Roy Model," Econometrica, Econometric Society, vol. 58(5), pages 1121-49, September.
- Ian Jewitt, 1987. "Risk Aversion and the Choice Between Risky Prospects: The Preservation of Comparative Statics Results," Review of Economic Studies, Oxford University Press, vol. 54(1), pages 73-85.
- A. D. Roy, 1951. "Some Thoughts On The Distribution Of Earnings," Oxford Economic Papers, Oxford University Press, vol. 3(2), pages 135-146.
- Caplin, Andrew S & Nalebuff, Barry J, 1988. "On 64%-Majority Rule," Econometrica, Econometric Society, vol. 56(4), pages 787-814, July.
- Grandmont, Jean-Michel, 1978. "Intermediate Preferences and the Majority Rule," Econometrica, Econometric Society, vol. 46(2), pages 317-30, March.
- McKelvey, Richard D, 1979. "General Conditions for Global Intransitivities in Formal Voting Models," Econometrica, Econometric Society, vol. 47(5), pages 1085-1112, September.
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