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Strategic manipulability without resoluteness or shared beliefs: Gibbard-Satterthwaite generalized

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Author Info
John Duggan
Thomas Schwartz

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Abstract

The Gibbard-Satterthwaite Theorem on the manipulability of social-choice rules assumes resoluteness: there are no ties, no multi-member choice sets. Generalizations based on a familiar lottery idea allow ties but assume perfectly shared probabilistic beliefs about their resolution. We prove a more straightforward generalization that assumes almost no limit on ties or beliefs about them.

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

Volume (Year): 17 (2000)
Issue (Month): 1 ()
Pages: 85-93
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Handle: RePEc:spr:sochwe:v:17:y:2000:i:1:p:85-93

Note: Received: 15 December 1997/Accepted: 16 November 1998
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  1. Yasuhito Tanaka, 2001. "Generalized monotonicity and strategy-proofness for non-resolute social choice correspondences," Economics Bulletin, Economics Bulletin, vol. 4, pages 1-8. [Downloadable!]
  2. BARBERA, Salvador & BOSSERT, Walter & PATTANAIK, Prasanta K., 2001. "Ranking Sets of Objects," Cahiers de recherche 2001-02, Universite de Montreal, Departement de sciences economiques. [Downloadable!]
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  3. Roberto Serrano, 2003. "The Theory of Implementation of Social Choice Rules," Working Papers 2003-19, Brown University, Department of Economics. [Downloadable!]
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  4. Marc Vorsatz, 2004. "Approval Voting ion Dichotomous Preferences," UFAE and IAE Working Papers 619.04, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC). [Downloadable!]
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