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On the Likelihood of the Coincidence of Condorcet Committees

Author

Listed:
  • Eric Kamwa

    (Université des Antilles, LC2S UMR CNRS 8053, F-97275 Schoelcher Cedex.)

  • Vincent Merlin

    (CNRS and Normandie Univ, France ; UNICAEN, CREM, UMR-CNRS 6211 , F-14032 Caen)

Abstract

In this paper, we supplement the results of Kamwa and Merlin (2017) for the selection of a subset of two alternatives out of four by computing the conditional probability of voting situations under which the Condorcet Committee à la Gehrlein (CCG) and the Condorcet Committee à la Fishburn (CCF) may both exist and coincide when voters' preferences on candidates are lexicographically extended on subsets. The CCG is a fixed-size subset of candidates such that each of its members defeats in a pairwise contest any candidate outside. The CCF is a fixed-size subset of candidates that is preferred to all other subsets of the same size by a majority of voters.

Suggested Citation

  • Eric Kamwa & Vincent Merlin, 2017. "On the Likelihood of the Coincidence of Condorcet Committees," Economics Bulletin, AccessEcon, vol. 37(3), pages 2076-2085.
    • Handle: RePEc:ebl:ecbull:eb-17-00692
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    Keywords

    Condorcet Committees; Preference; Lexicographic extension; Impartial culture.;
    All these keywords.

    JEL classification:

    • D7 - Microeconomics - - Analysis of Collective Decision-Making

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