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