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Voting for Voters: A Model of Electoral Evolution

Author

Listed:
  • Salvador Barberà

    (Universitat Autonoma de Barcelona)

  • Michael Maschler

    (Hebrew University)

  • Jonathan Shalev

    (CORE)

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 they wish; 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 the problem: 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

  • Salvador Barberà & Michael Maschler & Jonathan Shalev, 1998. "Voting for Voters: A Model of Electoral Evolution," Game Theory and Information 9804001, University Library of Munich, Germany.
    • Handle: RePEc:wpa:wuwpga:9804001
    Note: Type of Document - AMSTeX; prepared on IBM PC; to print on PostScript; pages: 1+48 ; figures: included
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    References listed on IDEAS

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    1. repec:adr:anecst:y:1997:i:45:p:09 is not listed on IDEAS
    2. Dreze, J H & Greenberg, J, 1980. "Hedonic Coalitions: Optimality and Stability," Econometrica, Econometric Society, vol. 48(4), pages 987-1003, May.
    3. 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.
    4. 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.
    5. Barbera, Salvador & Sonnenschein, Hugo & Zhou, Lin, 1991. "Voting by Committees," Econometrica, Econometric Society, vol. 59(3), pages 595-609, May.
    6. Kohlberg, Elon & Mertens, Jean-Francois, 1986. "On the Strategic Stability of Equilibria," Econometrica, Econometric Society, vol. 54(5), pages 1003-1037, September.
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    Keywords

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    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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