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On two basic properties of equilibria of voting with exit

Author

Listed:
  • Dolors Berga

    () (Universitat de Girona)

  • Alejandro Neme

    () (Universidad Nacional de san Luis and CONICET)

  • Jordi Massó

    () (Universitat Autònoma de Barcelona)

  • Gustavo Bergantiños

    () (Universidade de Vigo)

Abstract

We consider the problem of a society whose members must choose from a finite set of alternatives. After knowing the chosen alternative, members may reconsider their membership. Thus, they must take into account, when voting, the effect of their votes not only on the chosen alternative but also on the final composition of the society. We show that, under plausible restrictions on preferences, equilibria of this two-stage game satisfy stability and voter's sovereignty.

Suggested Citation

  • 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.
  • Handle: RePEc:ebl:ecbull:eb-08d70024
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    References listed on IDEAS

    as
    1. D. Berga & G. Bergantiños & J. Massó & A. Neme, 2006. "On Exiting After Voting," International Journal of Game Theory, Springer;Game Theory Society, vol. 34(1), pages 33-54, April.
      • 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. Barbera, Salvador & Perea, Andres, 2002. "Supporting others and the evolution of influence," Journal of Economic Dynamics and Control, Elsevier, vol. 26(12), pages 2051-2092, October.
    3. Barbera, Salvador & Sonnenschein, Hugo & Zhou, Lin, 1991. "Voting by Committees," Econometrica, Econometric Society, vol. 59(3), pages 595-609, May.
    4. Barbera, S. & Maschler, M. & Shalev, J., 2001. "Voting for Voters: A Model of Electoral Evolution," Games and Economic Behavior, Elsevier, vol. 37(1), pages 40-78, October.
    5. Barbera, Salvador & Sonnenschein, Hugo & Zhou, Lin, 1991. "Voting by Committees," Econometrica, Econometric Society, vol. 59(3), pages 595-609, May.
    6. Dolors Berga & Gustavo Bergantiños & Jordi Massó & Alejandro Neme, 2004. "Stability and voting by committees with exit," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 23(2), pages 229-247, October.
    7. Berga, Dolors & Bergantinos, Gustavo & Masso, Jordi & Neme, Alejandro, 2007. "An undominated Nash equilibrium for voting by committees with exit," Mathematical Social Sciences, Elsevier, vol. 54(2), pages 152-175, September.
    8. Jonathan Shalev & Daniel Granot & Michael Maschler, 2003. "Voting for voters: the unanimity case," International Journal of Game Theory, Springer;Game Theory Society, vol. 31(2), pages 155-202.
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    JEL classification:

    • D7 - Microeconomics - - Analysis of Collective Decision-Making

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