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On Exiting After Voting

Author

Listed:
  • D. Berga
  • G. Bergantiños
  • J. Massó
  • A. Neme

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 in the society by either staying or exiting. In turn, and as a consequence of the exit of some of its members, other members might now find undesirable to belong to the society as well. We analyze the voting behavior of members who take into account the effect of their votes not only on the chosen alternative, but also on the final composition of the society.
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Suggested Citation

  • 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.
    • Handle: RePEc:spr:jogath:v:34:y:2006:i:1:p:33-54
    DOI: 10.1007/s00182-005-0005-2
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    Other versions of this item:

    • 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.

    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. Barbera, Salvador & Sonnenschein, Hugo & Zhou, Lin, 1991. "Voting by Committees," Econometrica, Econometric Society, vol. 59(3), pages 595-609, May.
    4. Dolors Berga & Gustavo Berganti?s & Jordi MassóAuthor-Email: jordi.masso@uab.es & Alejandro Neme, 2002. "Voting by Committees with Exit," UFAE and IAE Working Papers 511.02, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
    5. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Gustavo Bergantiños & Jordi Massó & Alejandro Neme, 2018. "On societies choosing social outcomes, and their memberships: internal stability and consistency," Theory and Decision, Springer, vol. 84(1), pages 83-97, January.
    2. Kentaro Hatsumi & Dolors Berga & Shigehiro Serizawa, 2014. "A maximal domain for strategy-proof and no-vetoer rules in the multi-object choice model," International Journal of Game Theory, Springer;Game Theory Society, vol. 43(1), pages 153-168, February.
    3. Salvador Barberà, 2010. "Strategy-proof social choice," UFAE and IAE Working Papers 828.10, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
    4. repec:ebl:ecbull:v:4:y:2008:i:21:p:1-9 is not listed on IDEAS
    5. 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.
    6. 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.
    7. Kentaro Hatsumi, 2009. "Candidate Stable Voting Rules for Separable Orderings," ISER Discussion Paper 0735, Institute of Social and Economic Research, Osaka University.
    8. Massó, Jordi & Nicolò, Antonio, 2008. "Efficient and stable collective choices under gregarious preferences," Games and Economic Behavior, Elsevier, vol. 64(2), pages 591-611, November.
    9. Jordi Massó & Antonio Nicolò, 2004. "Efficient and Stable Collective Choices under Crowding Preferences," Working Papers 148, Barcelona School of Economics.

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    More about this item

    Keywords

    Voting; Exit; Subgame perfect equilibrium;
    All these keywords.

    JEL classification:

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

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