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Voting for voters: the unanimity case

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Author Info

  • Jonathan Shalev

    ()
    (10 Gonen Street Ra'anana 43399, Israel)

  • Daniel Granot

    ()
    (Faculty of Commerce and Business Administration, University of British Columbia Vancouver, B. C., Canada V6T 1Y2)

  • Michael Maschler

    ()
    (Department of Mathematics and Center for Rationality and Interactive Decision Theory, The Hebrew University of Jerusalem Jerusalem 91904, Israel)

Abstract

We present a simplified model of the evolution of a society which is regulated by a formal unanimity voting procedure. We examine several protocols, which depend on whether admission or expulsion are permissible, and on the order with which they are implemented. Conditions which ensure the existence of pure-strategy perfect equilibrium profiles for some voting protocols, and counter examples for the existence of such profiles in other protocols are presented. Finally, we prove that, if the agents insist on perfect equilibrium strategy profiles in a one-stage play, the original founders would prefer a protocol in which expulsion precedes admission to protocols in which either admission precedes expulsion, or the two are treated simultaneously. The paper concludes with an overview and a discussion on the results and suggestions for further research.

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Bibliographic Info

Article provided by Springer in its journal International Journal of Game Theory.

Volume (Year): 31 (2003)
Issue (Month): 2 ()
Pages: 155-202

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Handle: RePEc:spr:jogath:v:31:y:2003:i:2:p:155-202

Note: Received: December 2001
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Related research

Keywords: voting · elections · clubs · game theory · noncooperative games · pure-strategy equilibrium profiles · refinements.;

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Cited by:
  1. Dolors Berga & Gustavo Bergantiños & Jordi Massó & Alejandro Neme, 2003. "On exiting after voting," Estudios de Economia, University of Chile, Department of Economics, vol. 30(2 Year 20), pages 261-288, December.
  2. Dolors Berga & Alejandro Neme & Jordi Massó & Gustavo Bergantiños, 2008. "On two basic properties of equilibria of voting with exit," Economics Bulletin, AccessEcon, vol. 4(21), pages 1-9.
  3. Guillermo Owen, 2010. "Michael Maschler’s bibliography," International Journal of Game Theory, Springer, vol. 39(1), pages 301-308, March.

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