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Coalitionally strategyproof functions depend only on the most-preferred alternatives

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H. Reiju Mihara () (Economics, Kagawa University, Takamatsu, 760-8523, Japan)

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Abstract

In 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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Article provided by Springer in its journal Social Choice and Welfare.

Volume (Year): 17 (2000)
Issue (Month): 3 ()
Pages: 393-402
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Handle: RePEc:spr:sochwe:v:17:y:2000:i:3:p:393-402

Note: Received: 10 August 1998/Accepted: 3 May 1999
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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Barbera Salvador & Gul Faruk & Stacchetti Ennio, 1993. "Generalized Median Voter Schemes and Committees," Journal of Economic Theory, Elsevier, vol. 61(2), pages 262-289, December. [Downloadable!] (restricted)
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  2. Barbera, Salvador & Sonnenschein, Hugo & Zhou, Lin, 1991. "Voting by Committees," Econometrica, Econometric Society, vol. 59(3), pages 595-609, May. [Downloadable!] (restricted)
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  1. Kumabe, Masahiro & Mihara, H. Reiju, 2008. "Preference aggregation theory without acyclicity: The core without majority dissatisfaction," MPRA Paper 11728, University Library of Munich, Germany. [Downloadable!]
  2. Chun-Hsien Yeh, 2008. "An efficiency characterization of plurality rule in collective choice problems," Economic Theory, Springer, vol. 34(3), pages 575-583, March. [Downloadable!] (restricted)
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