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Simple Elections II: Condorcet’s Method

W. D. Wallis
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W. D. Wallis: Southern Illinois University, Department of Mathematics

Chapter Chapter 3 in The Mathematics of Elections and Voting, 2014, pp 19-32 from Springer

Abstract: Abstract We have already seen that, when there is no majority, different sensible-sounding electoral methods may produce different results. In 1785 Marie Jean Antoine Nicolas Caritat, Marquis de Condorcet, a French mathematician and political theorist, proposed a technique involving multiple use of runoff elections. (A similar idea was proposed by Ramon Llull as long ago as 1299; see for example Bonner, Doctor illuminatus: a Ramon Llull reader. Princeton University Press, Princeton, 1993.) Condorcet’s work appeared in an essay entitled Essai sur l’Application de l’Analyse à la probabilité des décisions rendues à la pluralité des voix (Essay on the Application of Analysis to the Probability of Majority Decisions) (de Condorcet, Essai sur l’Application de l’Analyse à la probabilité des décisions rendues à la pluralité des voix. Imprimerie Royale, Paris, 1785). This work also described several other results, including Condorcet’s paradox, which shows that majority preferences become intransitive with three or more candidates.

Keywords: Sample Problem; Condorcet Winner; Preference Profile; Preference List; Borda Count (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/978-3-319-09810-4_3

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