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Condorcet's Theory of Voting

Published online by Cambridge University Press:  02 September 2013

H. P. Young
H. P. Young*
Affiliation:
University of Maryland
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Abstract

Condcrcet's criterion states that an alternative that defeats every other by a simple majority is the socially optimal choice. Condorcet argued that if the object of voting is to determine the “best” decision for society but voters sometimes make mistakes in their judgments, then the majority alternative (if it exists) is statistically most likely to be the best choice. Strictly speaking, this claim is not true; in some situations Bordas rule gives a sharper estimate of the best alternative. Nevertheless, Condorcet did propose a novel and statistically correct rule for finding the most likely ranking of the alternatives. This procedure, which is sometimes known as “Kemeny's rule,” is the unique social welfare function that satisfies a variant of independence of irrelevant alternatives together with several other standard properties.

Type
Articles
Information
American Political Science Review , Volume 82 , Issue 4 , December 1988 , pp. 1231 - 1244
Copyright
Copyright © American Political Science Association 1988

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References

Arrow, Kenneth J. 1963. Social Choice and Individual Values. 2d ed. New York: John Wiley.Google Scholar
Baker, Keith M. 1975. Condorcet. Chicago: University of Chicago Press.Google Scholar
Barthelemy, J. P., and McMorris, F. R.. 1986. “The Median Procedure for n-Trees.” Journal of Classification 3: 329–34.CrossRefGoogle Scholar
Barthelemy, J. P., and Monjardet, Bernard. 1981. “The Median Procedure in Cluster Analysis and Social Choice Theory.” Mathematical Social Sciences 1: 235–67.Google Scholar
Batchelder, William, and Bershad, N. J.. 1979. “The Statistical Analysis of a Thurstonian Model for Rating Chess Players.” Journal of Mathematical Psychology 19: 39–60.CrossRefGoogle Scholar
Black, Duncan. 1958. The Theory of Committees and Elections. Cambridge: Cambridge University Press.Google Scholar
Borda, Jean Charles de. 1784. “Mémoire sur les Elections au Scrutin.” In Histoire de L'Academie Royale des Sciences.Google Scholar
Condorcet, Marquis de. 1785. Essai sur l'application de l'analyse à la probabilité des décisions rendues à la probabilité des voix. Paris: De l'imprimerie royale.Google Scholar
Fishburn, Peter C. 1973. The Theory of Social Choice. Princeton: Princeton University Press.Google Scholar
Gelfand, Alan, and Solomon, Herbert. 1973. “A Study of Poisson's Models for Jury Verdicts in Criminal and Civil Trials.” Journal of the American Statistical Association 68: 271–78.Google Scholar
Good, I. J. 1955. “On the Marking of Chess Players.” The Mathematical Gazette 39: 292–96.Google Scholar
Grofman, Bernard. 1981. “When Is the Condorcet Winner the Condorcet Winner?” University of California, Irvine. Typescript.Google Scholar
Grofman, Bernard, and Feld, Scott. 1988. “Rousseau's General Will: A Condorcetian Perspective.” American Political Science Review 82: 567–76.Google Scholar
Grofman, Bernard, and Owen, Guillermo, eds. 1986. Information Pooling and Group Decision Making. Greenwich, CT: JAI.Google Scholar
Grofman, Bernard, Owen, Guillermo, and Feld, Scott. 1983. “Thirteen Theorems in Search of the Truth.” Theory and Decision 15: 261–78.Google Scholar
Henry, Charles, ed. 1883. Correspondance Inedite de Condorcet et de Turgot 1770–1779. Paris: Charavay frères.Google Scholar
Jacquet-Lagrèze, E. 1969. “L'Agrégation des opinions individuelles.” In Informatiques et sciences humaines, vol. 4.Google Scholar
Jech, Thomas. 1983. “The Ranking of Incomplete Tournaments: A Mathematician's Guide to Popular Sports.” American Mathematical Monthly 90: 246–66.CrossRefGoogle Scholar
Kemeny, John. 1959. “Mathematics without Numbers.” Daedalus 88: 571–91.Google Scholar
Kemeny, John, and Snell, Lawrence. 1960. Mathematical Models in the Social Sciences. Boston: Ginn.Google Scholar
Kramer, Gerald. 1977. “A Dynamical Model of Political Equilibrium.” Journal of Economic Theory 16: 310–34.Google Scholar
Mascari, Jean. 1919. La Vie et les travaux du Chevalier Jean Charles de Borda. Paris: Rey.Google Scholar
Michaud, P. 1985. “Hommage à Condorcet (version integrale pour le bicentenaire de l'essai de Condorcet).” Etude F-094. Centre scientifique-IBM France, Paris.Google Scholar
Michaud, P., and Marcotorchino, J. F.. 1978. “Optimization in Ordinal Data Analysis.” Etude F-001. Centre Scientifique-IBM France, Paris.Google Scholar
Nash, John. 1950. “The Bargaining Problem.” Econometrica 18: 155–62.Google Scholar
Nitzan, S., and Paroush, J.. 1982. “Optimal Decision Rules in Uncertain Dichotomous Situations.” International Economic Review 23: 289–97.Google Scholar
Poisson, Siméon-Denis. 1837. Recherches sur la probabilité des jugements en matière criminale et en matière civile, précédées des règles générales du calcul des probabilités. Paris: Bachelier.Google Scholar
Rousseau, Jean-Jacques. 1962. The Social Contract. Harmondsworth, England: Penguin.Google Scholar
Shapley, Lloyd S., and Grofman, Bernard. 1984. “Optimizing Group Judgmental Accuracy in the Presence of Interdependenties.” Public Choice 43: 329–43.Google Scholar
Todhunter, Isaac. 1949. A History of the Mathematical Theory of Probability. New York: Chelsea.Google Scholar
Urken, Arnold B., and Traflet, S.. 1984. “Optimal Jury Design.” Jurimetrics 24: 218–35.Google Scholar
Young, H. Peyton. 1974. “An Axiomatization of Borda's Rule.” Journal of Economic Theory 9: 43–52.CrossRefGoogle Scholar
Young, H. Peyton. 1986. “Optimal Ranking and Choice from Pairwise Comparisons.” In Information Pooling and Group Decision Making, ed. Grofman, Bernard and Owen, Guillermo. Greenwich, CT: JAI.Google Scholar
Young, H. Peyton, and Levenglick, Arthur. 1978. “A Consistent Extension of Condorcet's Election Principle.” SIAM Journal on Applied Mathematics 35: 285–300.Google Scholar