Are Condorcet procedures so bad according to the reinforcement axiom?
AbstractA 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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Bibliographic InfoPaper provided by THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise in its series THEMA Working Papers with number 2012-37.
Date of creation: 2012
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Condorcet procedures • Reinforcement axiom • Likelihood • Impartial culture • Impartial anonymous culture;
Find related papers by JEL classification:
- D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
This paper has been announced in the following NEP Reports:
- NEP-ALL-2012-10-06 (All new papers)
- NEP-CDM-2012-10-06 (Collective Decision-Making)
- NEP-MIC-2012-10-06 (Microeconomics)
- NEP-PUB-2012-10-06 (Public Finance)
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Donald Saari, 2006. "Which is better: the Condorcet or Borda winner?," Social Choice and Welfare, Springer, vol. 26(1), pages 107-129, January.
- Sébastien Courtin & Boniface Mbih & Issofa Moyouwou & Thomas Senné, 2010. "The reinforcement axiom under sequential positional rules," Social Choice and Welfare, Springer, vol. 35(3), pages 473-500, September.
- 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.
- Dominique Lepelley & Ahmed Louichi & Hatem Smaoui, 2008. "On Ehrhart polynomials and probability calculations in voting theory," Social Choice and Welfare, Springer, vol. 30(3), pages 363-383, April.
- Smith, John H, 1973. "Aggregation of Preferences with Variable Electorate," Econometrica, Econometric Society, vol. 41(6), pages 1027-41, November.
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