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An extreme point characterization of strategy-proof and unanimous probabilistic rules over binary restricted domains

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Listed:
  • Peters H.J.M.
  • Roy S.
  • Sadhukhan S.
  • Storcken A.J.A.

    (GSBE)

Abstract

We show that every strategy-proof and unanimous probabilistic rule on a binary restricted domain has binary support, and is a probabilistic mixture of strategy-proof and unanimous deterministic rules. Examples of binary restricted domains include several types of single-dipped domains, the single-peaked domain where peaks are restricted to two adjacent alternatives, and the single-crossing domain with two tops. We also provide some extensions to infinitely many alternatives.

Suggested Citation

  • Peters H.J.M. & Roy S. & Sadhukhan S. & Storcken A.J.A., 2016. "An extreme point characterization of strategy-proof and unanimous probabilistic rules over binary restricted domains," Research Memorandum 012, Maastricht University, Graduate School of Business and Economics (GSBE).
  • Handle: RePEc:unm:umagsb:2016012
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    References listed on IDEAS

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    1. Salvador Barberà & Dolors Berga & Bernardo Moreno, 2012. "Domains, ranges and strategy-proofness: the case of single-dipped preferences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 39(2), pages 335-352, July.
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    3. Murat Öztürk & Hans Peters & Ton Storcken, 2014. "On the location of public bads: strategy-proofness under two-dimensional single-dipped preferences," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 56(1), pages 83-108, May.
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    5. Chatterji, Shurojit & Roy, Souvik & Sen, Arunava, 2012. "The structure of strategy-proof random social choice functions over product domains and lexicographically separable preferences," Journal of Mathematical Economics, Elsevier, vol. 48(6), pages 353-366.
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    Cited by:

    1. Roy, Souvik & Sadhukhan, Soumyarup, 2017. "A Unified Characterization of Randomized Strategy-proof Rules," MPRA Paper 79363, University Library of Munich, Germany.

    More about this item

    Keywords

    Social Choice; Clubs; Committees; Associations;

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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