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On the Likelihood of the Coincidence of Condorcet Committees

Author

Listed:
  • Eric Kamwa

    (LC2S - Laboratoire caribéen de sciences sociales - CNRS - Centre National de la Recherche Scientifique - UA - Université des Antilles)

  • Vincent Merlin

    (CREM - Centre de recherche en économie et management - UNICAEN - Université de Caen Normandie - NU - Normandie Université - UR - Université de Rennes - CNRS - Centre National de la Recherche Scientifique)

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 Fis hburn (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," Post-Print hal-01631184, HAL.
    • Handle: RePEc:hal:journl:hal-01631184
    Note: View the original document on HAL open archive server: https://hal.univ-antilles.fr/hal-01631184
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    JEL classification:

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

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