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Committees under qualified majority rules: the one-core stability index

Joseph Armel Momo Kenfack ()
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Joseph Armel Momo Kenfack: The University of Cergy Pontoise (THEMA)

Social Choice and Welfare, 2022, vol. 59, issue 2, No 6, 422 pages

Abstract: Abstract A policy proposal introduced by a committee member is either adopted or abandoned in favor of a new proposal after lengthy deliberations. If a proposal is abandoned, the committee member who introduced it does not cooperate in any effort to replace it. For a player, not cooperate means to vote against a proposal when the rule identifies him or her as one of those who are entitled to make a decision. The one-core is a solution concept that captures that idea. It is never empty if the committee has less than five individuals, but might be empty if there are five or more individuals. I identify a necessary and sufficient condition for the non-emptiness of the one-core no matter the number of alternatives, the preference profile or the number of players in a committee game, under any qualified majority rule.

Date: 2022
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DOI: 10.1007/s00355-022-01388-5

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