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Eric Kamwa and Vincent Merlin
''On the Likelihood of the Coincidence of Condorcet Committees''
( 2017, Vol. 37 No.3 )
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.
Keywords: Condorcet Committees, Preference, Lexicographic extension, Impartial culture.
JEL: D7 - Analysis of Collective Decision-Making: General
Manuscript Received : Aug 30 2017 Manuscript Accepted : Sep 27 2017

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