On the Likelihood of the Coincidence of Condorcet Committees

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.
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Eric Kamwa, Vincent Merlin. On the Likelihood of the Coincidence of Condorcet Committees. Economics Bulletin, Economics Bulletin, 2017, 37 (3), pp.2076-2085. ⟨hal-01631184⟩

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