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A Theory of Voting Equilibria

Published online by Cambridge University Press:  02 September 2013

Roger B. Myerson  and
Robert J. Weber
Roger B. Myerson
Affiliation:
Northwestern University
Robert J. Weber
Affiliation:
Northwestern University
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Abstract

A voting equilibrium arises when the voters in an electorate, acting in accordance with both their preferences for the candidates and their perceptions of the relative chances of various pairs of candidates being in contention for victory, generate an election result that justifies their perceptions. Voting equilibria always exist, and the set of equilibria can vary substantially with the choice of voting system. We compare equilibria under the plurality rule, approval voting, and the Borda system. We consider a candidate-positioning game and find that the plurality rule imposes little restriction on the position of the winning candidate in three-candidate races, while approval voting leads to a winner positioned at the median of the voter distribution. We contrast campaign activities intended to influence voter preferences with activities meant to influence only perceptions of candidate viability.

Type
Articles
Information
American Political Science Review , Volume 87 , Issue 1 , March 1993 , pp. 102 - 114
Copyright
Copyright © American Political Science Association 1993

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References

Borda, Jean-Charles de. 1781. Mémoires sur les élections au Scrutin. Paris: Histoire de l'Academie Royale des Sciences. Translation in Alfred de Grazia, 1953, “Mathematical Derivation of an Election System.” Isis 44:42–51.Google Scholar
Bowden, Roger J. 1987. “Repeated Sampling in the Presences of Publication Effects.” Journal of the American Statistical Association 82:476–84.CrossRefGoogle Scholar
Brams, Steven J., and Fishburn, Peter C.. 1978. “Approval Voting.” American Political Science Review 72:113–34.CrossRefGoogle Scholar
Brams, Steven J., and Fishburn, Peter C.. 1983. Approval Voting. Boston: Birkhauser.Google Scholar
Cox, Gary W. 1985. “Electoral Equilibrium under Approval Voting.” American Journal of Political Science 29:112–18.CrossRefGoogle Scholar
Cox, Gary W. 1987. “Electoral Equilibrium under Alternative Voting Institutions.” American Journal of Political Science 31:82–108.CrossRefGoogle Scholar
Cox, Gary W. 1990. “Centripetal and Centrifugal Incentives in Electoral Systems.” American Journal of Political Science 34:903–35.CrossRefGoogle Scholar
Downs, Anthony. 1957. An Economic Theory of Democracy. New York: Harper & Row.Google Scholar
Fedderson, Timothy J., Sened, Itai, and Wright, Stephen G.. 1990. “Rational Voting and Candidate Entry under Plurality Rule.” American Journal of Political Science. 34:1005–16.CrossRefGoogle Scholar
Forsythe, Robert, Myerson, Roger B., Rietz, Thomas, and Weber, Robert J.. 1990. “An Experimental Study of Voting Rules and Polls in Three-Candidate Elections.” CMSEMS Discussion Paper No. 927. Northwestern University.Google Scholar
Grunberg, Emile, and Modigliani, Frank. 1954. “The Predictability of Social Events.” Journal of Political Economy 62:465–79.CrossRefGoogle Scholar
Hotelling, Harold. 1929. “The Stability of Competition.” Economic Journal 39:41–57.CrossRefGoogle Scholar
Kalai, Ehud, and Samet, Dov. 1984. “Persistent Equilibria.” International Journal of Game Theory. 13:129–44.CrossRefGoogle Scholar
McKelvey, Richard D., and Ordeshook, Peter C.. 1985. “Elections with Limited Information: A Fulfilled Expectations Model Using Contemporaneous Poll and Endorsement Data as Information Sources.” Journal of Economic Theory 36:55–85.CrossRefGoogle Scholar
Merrill, Samuel III. 1988. Making Multicandidate Elections More Democratic. Princeton: Princeton University Press.CrossRefGoogle Scholar
Myerson, Roger B. 1978. “Refinements of the Nash Equilibrium Concept.” International Journal of Game Theory 7:73–80.CrossRefGoogle Scholar
Palfrey, Thomas R. 1989. “A Mathematical Proof of Duverger's Law.” In Essays in Contemporary Political Theory, ed. Ordeshook, Peter C.. Ann Arbor: University of Michigan Press.Google Scholar
Riker, William H. 1982. “The Two-Party System and Duverger's Law.” American Political Science Review 76:753–66.CrossRefGoogle Scholar
Schelling, Thomas C. 1960. The Strategy of Conflict. Cambridge: Harvard University Press.Google Scholar
Shepsle, Kenneth A. 1991. Models of Multiparty Electoral Competition. New York: Harwood Academic.Google Scholar
Simon, Herbert A. 1954. “Bandwagon and Underdog Effects and the Possibility of Equilibrium Predictions.” Public Opinion Quarterly 18:245–53.CrossRefGoogle Scholar
Smith, John. 1973. “Aggregation of Preferences with a Variable Electorate.” Econometrica 41:1027–41.CrossRefGoogle Scholar
Weber, Robert J. 1977. “Comparison of Voting Systems.” Cowles Foundation Discussion Paper No. 498. New Haven: Yale University.Google Scholar
Young, H. Peyton. 1975. “Social Choice Scoring Functions.” SIAM Journal of Applied Mathematics 28:824–38.CrossRefGoogle Scholar