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On Domains That Admit Well-behaved Strategy-proof Social Choice Functions

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Author Info

  • Shurojit Chatterji

    ()
    (School of Economics, Singapore Management University)

  • Remzi Sanver

    ()
    (Department of Economics, Istanbul Bilgi University)

  • Arunava Sen

    ()
    (Indian Statistical Institute)

Abstract

In this paper, we investigate domains which admit "well-behaved", strategy-proof social choice functions. We show that if the number of voters is even, then every domain that satisfies a richness condition and admits an anonymous, tops-only, unanimous and strategy-proof social choice function, must be semi-single-peaked. Conversely every semi-single-peaked domain admits an anonymous, tops-only, unanimous and strategy-proof social choice function. Semi-single-peaked domains are generalizations of single-peaked domains on a tree introduced by Demange (1982). We provide sharper versions of the results above when tops-onlyness is replaced by tops-selectivity and the richness condition is weakened.

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Bibliographic Info

Paper provided by Singapore Management University, School of Economics in its series Working Papers with number 07-2010.

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Date of creation: May 2010
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Publication status: Published in SMU Economics and Statistics Working Paper Series
Handle: RePEc:siu:wpaper:07-2010

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Related research

Keywords: Voting-rules; Strategy-proofness; Restricted Domains; Tops-Only domains.;

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Cited by:
  1. Debasis Mishra & Anup Pramanik & Souvik Roy, 2013. "Implementation in multidimensional domains with ordinal restrictions," Indian Statistical Institute, Planning Unit, New Delhi Discussion Papers 13-07, Indian Statistical Institute, New Delhi, India.
  2. Shurojit Chatterji & Arunava Sen & Huaxia Zeng, 2012. "Random Dictatorship Domains," Working Papers 27-2012, Singapore Management University, School of Economics.

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