Coalitionally strategyproof functions depend only on the most-preferred alternatives
AbstractIn a framework allowing infinitely many individuals, I prove that coalitionally strategyproof social choice functions satisfy "tops only." That is, they depend only on which alternative each individual prefers the most, not on which alternative she prefers the second most, the third,\dots, or the least. The functions are defined on the domain of profiles measurable with respect to a Boolean algebra of coalitions. The unrestricted domain of profiles is an example of such a domain. I also prove an extension theorem.
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Bibliographic InfoArticle provided by Springer in its journal Social Choice and Welfare.
Volume (Year): 17 (2000)
Issue (Month): 3 ()
Note: Received: 10 August 1998/Accepted: 3 May 1999
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Other versions of this item:
- H. Reiju Mihara, 1996. "Coalitionally strategyproof functions depend only on the most-preferred alternatives," Public Economics 9604003, EconWPA, revised 24 Apr 1996.
- D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
- C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
- C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
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