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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)

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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Bibliographic Info

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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  1. Salvador Barbera & Hugo Sonnenschein & Lin Zhou, 1990. "Voting by Committees," Cowles Foundation Discussion Papers 941, Cowles Foundation for Research in Economics, Yale University.
  2. Barbera, S. & Gul, F. & Stacchetti, E., 1992. "Generalized Median Voter Schemes and Committees," UFAE and IAE Working Papers 184.92, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  3. Barbera, S. & Sonnenschein, H., 1988. "Voting By Quota And Committee," UFAE and IAE Working Papers 95-88, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
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Cited by:
  1. Yohei Sekiguchi, 2012. "A Characterization of the Plurality Rule," CIRJE F-Series CIRJE-F-833, CIRJE, Faculty of Economics, University of Tokyo.
  2. Kumabe, Masahiro & Mihara, H. Reiju, 2008. "Preference aggregation theory without acyclicity: The core without majority dissatisfaction," MPRA Paper 11728, University Library of Munich, Germany.
  3. Yeh, Chun-Hsien, 2006. "Reduction-consistency in collective choice problems," Journal of Mathematical Economics, Elsevier, vol. 42(6), pages 637-652, September.
  4. Sekiguchi, Yohei, 2012. "A characterization of the plurality rule," Economics Letters, Elsevier, vol. 116(3), pages 330-332.
  5. Chun-Hsien Yeh, 2008. "An efficiency characterization of plurality rule in collective choice problems," Economic Theory, Springer, vol. 34(3), pages 575-583, March.

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