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Ordinally Bayesian Incentive Compatible Voting Rules

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  • Dipjyoti Majumdar
  • Arunava Sen

Abstract

We study strategic voting after weakening the notion of strategy-proofness to Ordinal Bayesian Incentive Compatibility (OBIC). Under OBIC, truth-telling is required to maximize the expected utility of every voter, expected utility being computed with respect to the voter's prior beliefs and under the assumption that everybody else is also telling the truth. We show that for a special type of priors, i.e., the uniform priors, there exists a large class of social choice functions that are OBIC. However, for priors that are generic in the set of independent beliefs, a social choice function is OBIC only if it is dictatorial. This result underlines the robustness of the Gibbard-Satterthwaite Theorem. Copyright The Econometric Society 2004.

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Bibliographic Info

Article provided by Econometric Society in its journal Econometrica.

Volume (Year): 72 (2004)
Issue (Month): 2 (03)
Pages: 523-540

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Handle: RePEc:ecm:emetrp:v:72:y:2004:i:2:p:523-540

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Cited by:
  1. Miguel Ballester & Pedro Rey-Biel, 2009. "Does uncertainty lead to sincerity? Simple and complex voting mechanisms," Social Choice and Welfare, Springer, vol. 33(3), pages 477-494, September.
  2. Pais, Joana, 2008. "Incentives in decentralized random matching markets," Games and Economic Behavior, Elsevier, vol. 64(2), pages 632-649, November.
  3. EHLERS, Lars & MASSÓ, Jordi, 2007. "Matching Markets under (In)complete Information," Cahiers de recherche 2007-01, Universite de Montreal, Departement de sciences economiques.
  4. Joana Pais, 2008. "Random matching in the college admissions problem," Economic Theory, Springer, vol. 35(1), pages 99-116, April.
  5. Lars Ehlers & Jordi Massó, 2004. "Incomplete Information and Small Cores in Matching Markets," UFAE and IAE Working Papers 637.04, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  6. Nunez, Matias, 2007. "A note on Minimal Unanimity and Ordinally Bayesian Incentive Compatibility," Mathematical Social Sciences, Elsevier, vol. 53(2), pages 209-211, March.

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