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A Note on Forward Induction in a Model of Representative Democracy

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  • Francesco De Sinopoli

    () (Universidad Carlos III de Madrid - Department of Economics)

Abstract

The citizen-candidate approach, proposed to study the performance of representative democracies, builds on a multi-stage game where the same agents are asked whether or not to become a candidate and, successively, to vote. Consistently, the solution concept adopted in Besley and Coate (1997) conforms to backward induction rationality. In this note we remark that it does not conform to forward induction rationality. Some results on stable sets are then obtained.

Suggested Citation

  • Francesco De Sinopoli, 2003. "A Note on Forward Induction in a Model of Representative Democracy," CEIS Research Paper 21, Tor Vergata University, CEIS.
  • Handle: RePEc:rtv:ceisrp:21
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    References listed on IDEAS

    as
    1. Francesco De Sinopoli, 2000. "Sophisticated voting and equilibrium refinements under plurality rule," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 17(4), pages 655-672.
    2. Mertens, Jean-Francois, 1992. "The small worlds axiom for stable equilibria," Games and Economic Behavior, Elsevier, vol. 4(4), pages 553-564, October.
    3. Timothy Besley & Stephen Coate, 1997. "An Economic Model of Representative Democracy," The Quarterly Journal of Economics, Oxford University Press, vol. 112(1), pages 85-114.
    4. Jean-François Mertens, 1989. "Stable Equilibria---A Reformulation," Mathematics of Operations Research, INFORMS, vol. 14(4), pages 575-625, November.
    5. Osborne, Martin J., 1990. "Signaling, forward induction, and stability in finitely repeated games," Journal of Economic Theory, Elsevier, vol. 50(1), pages 22-36, February.
    6. Dhillon, Amrita & Lockwood, Ben, 2004. "When are plurality rule voting games dominance-solvable?," Games and Economic Behavior, Elsevier, vol. 46(1), pages 55-75, January.
    7. Govindan Srihari, 1995. "Stability and the Chain Store Paradox," Journal of Economic Theory, Elsevier, vol. 66(2), pages 536-547, August.
    8. In-Koo Cho & David M. Kreps, 1987. "Signaling Games and Stable Equilibria," The Quarterly Journal of Economics, Oxford University Press, vol. 102(2), pages 179-221.
    9. Dhillon, Amrita & Lockwood, Ben, 2002. " Multiple Equilibria in the Citizen-Candidate Model of Representative Democracy," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 4(2), pages 171-184.
    10. Ehud Kalai & Dov Samet, 1982. "Persistent Equilibria in Strategic Games," Discussion Papers 515, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    11. Martin J. Osborne & Al Slivinski, 1996. "A Model of Political Competition with Citizen-Candidates," The Quarterly Journal of Economics, Oxford University Press, vol. 111(1), pages 65-96.
    12. Kohlberg, Elon & Mertens, Jean-Francois, 1986. "On the Strategic Stability of Equilibria," Econometrica, Econometric Society, vol. 54(5), pages 1003-1037, September.
    13. van Damme, Eric, 1989. "Stable equilibria and forward induction," Journal of Economic Theory, Elsevier, vol. 48(2), pages 476-496, August.
    14. DE SINOPOLI, Francesco & TURRINI, Alessandro, 1999. "A remark on voters’ rationality in Besley and coate model of representative democracy," CORE Discussion Papers 1999027, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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    Cited by:

    1. Anesi, Vincent, 2010. "Noncooperative foundations of stable sets in voting games," Games and Economic Behavior, Elsevier, vol. 70(2), pages 488-493, November.
    2. Damien Bol & Arnaud Dellis & Mandar oak, 2015. "Endogenous Candidacy in Electoral Competition: A Survey," School of Economics Working Papers 2015-19, University of Adelaide, School of Economics.
    3. Damien Bol & Arnaud Dellis & Mandar Oak, 2016. "Comparison of Voting Procedures using Models of Electoral Competition with Endogenous Candidacy," School of Economics Working Papers 2016-02, University of Adelaide, School of Economics.
    4. Dellis, Arnaud, 2010. "Weak undominance in scoring rule elections," Mathematical Social Sciences, Elsevier, vol. 59(1), pages 110-119, January.

    More about this item

    Keywords

    Voting games; refinements of Nash equilibrium; citizen-candidate; forward induction; Mertens' stable sets;

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior

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