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Voting for voters: a model of electoral evolution

Author

Listed:
  • BARBERA, Salvador

    (Departament d’Economia i d’Historia Economica and CODE, Universitat Autonoma de Barcelona)

  • MASCHLER, Michael

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

  • SHALEV, Jonathan

    (Center for Operations Research and Econometrics (CORE), Université catholique de Louvain (UCL), Louvain la Neuve, Belgium)

Abstract

We model the decision problems faced by the members of societies whose new members are determined by vote. We adopt a number of simplifying assumptions: the founders and the candidates are fixed; the society operates for k periods and holds elections at the beginning of each period; one vote is sufficient for admission, and voters can support as many candidates as theywish; voters assess the value of the streams of agents with whom they share the society, while they belong to it. In spite of these simplifications, we show that interesting strategic behavior is implied by the dynamic structure of theproblem: the vote for friends may be postponed, and it may be advantageous to vote for enemies. We discuss the existence of different types of equilibria in pure strategies and point out interesting equilibria in mixed strategies.

Suggested Citation

  • BARBERA, Salvador & MASCHLER, Michael & SHALEV, Jonathan, 1998. "Voting for voters: a model of electoral evolution," LIDAM Discussion Papers CORE 1998022, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    • Handle: RePEc:cor:louvco:1998022
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    File URL: https://sites.uclouvain.be/core/publications/coredp/coredp1998.html
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    References listed on IDEAS

    as
    1. Barbera, Salvador & Sonnenschein, Hugo & Zhou, Lin, 1991. "Voting by Committees," Econometrica, Econometric Society, vol. 59(3), pages 595-609, May.
    2. Barbera, Salvador & Sonnenschein, Hugo & Zhou, Lin, 1991. "Voting by Committees," Econometrica, Econometric Society, vol. 59(3), pages 595-609, May.
    3. repec:adr:anecst:y:1997:i:45:p:09 is not listed on IDEAS
    4. Dreze, J H & Greenberg, J, 1980. "Hedonic Coalitions: Optimality and Stability," Econometrica, Econometric Society, vol. 48(4), pages 987-1003, May.
    5. Sobel, Joel, 2000. "A Model of Declining Standards," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 41(2), pages 295-303, May.
    6. Tayfun Sönmez & Suryapratim Banerjee & Hideo Konishi, 2001. "Core in a simple coalition formation game," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 18(1), pages 135-153.
    7. Kohlberg, Elon & Mertens, Jean-Francois, 1986. "On the Strategic Stability of Equilibria," Econometrica, Econometric Society, vol. 54(5), pages 1003-1037, September.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Linear programming; interior-point methods; target following methods;
    All these keywords.

    JEL classification:

    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D7 - Microeconomics - - Analysis of Collective Decision-Making
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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