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Are Condorcet procedures so bad according to the reinforcement axiom?

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  • Sébastien Courtin
  • Boniface Mbih
  • Issofa Moyouwou

    ()
    (THEMA, Universite de Cergy-Pontoise
    University of Caen basse-Normandie
    University of Yaounde I)

Abstract

A Condorcet social choice procedure elects the candidate that beats every other candidate under simple majority when such a candidate exists. The reinforcement axiom roughly states that given two groups of individuals, if these two groups select the same alternative, then this alternative must also be selected by their union. Condorcet social choice procedures are known to violate this axiom. Our goal in this paper is to put this important voting theory result into perspective. We then proceed by evaluating how frequently this phenomenon is susceptible to occur.

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Paper provided by THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise in its series THEMA Working Papers with number 2012-37.

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Date of creation: 2012
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Handle: RePEc:ema:worpap:2012-37

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Keywords: Condorcet procedures • Reinforcement axiom • Likelihood • Impartial culture • Impartial anonymous culture;

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  1. Smith, John H, 1973. "Aggregation of Preferences with Variable Electorate," Econometrica, Econometric Society, vol. 41(6), pages 1027-41, November.
  2. Donald Saari, 2006. "Which is better: the Condorcet or Borda winner?," Social Choice and Welfare, Springer, vol. 26(1), pages 107-129, January.
  3. Dominique Lepelley & Ahmed Louichi & Hatem Smaoui, 2006. "On Ehrhart Polynomials and Probability Calculations in Voting Theory," Economics Working Paper Archive (University of Rennes 1 & University of Caen) 200610, Center for Research in Economics and Management (CREM), University of Rennes 1, University of Caen and CNRS.
  4. Sebastien Courtin & Boniface Mbih & Issofa Moyouwou & Thomas Senné, 2010. "The reinforcement axiom under sequential positional rules," Post-Print hal-00914864, HAL.
  5. Young, H. P., 1974. "An axiomatization of Borda's rule," Journal of Economic Theory, Elsevier, vol. 9(1), pages 43-52, September.
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