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Strong Equilibrium Outcomes of Voting Games are the Generalized Condorcet Winners

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  • Murat R. Sertel
  • Remzi Sanver

Abstract

We consider voting games induced by anonymous and top-unanimous social choice functions. The class of such social choice functions is quite broad, including every “t-refinement” of the Plurality Rule, Plurality with a Runoff, the Majoritarian Compromise and the Single Transferable Vote, i.e., any selection from either of these social choice rules which is obtained via tie-breaking among candidates according to any total order t on the set of alternatives. As announced in our title, the strong equilibrium outcomes of the voting games determined by such social choice functions turn out to be nothing but generalized Condorcet winners, namely the “(n,q)-Condorcet winners”. In the case of social choice functions (such as those just listed) which are furthermore “top-majoritarian”, they coincide with the classical Condorcet winners. Copyright Springer-Verlag 2004
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Murat R. Sertel & Remzi Sanver, 2001. "Strong Equilibrium Outcomes of Voting Games are the Generalized Condorcet Winners," Working Papers 0107, Department of Economics, Bilkent University.
    • Handle: RePEc:bil:wpaper:0107
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    Cited by:

    1. Barberà, Salvador & Coelho, Danilo, 2017. "Balancing the power to appoint officers," Games and Economic Behavior, Elsevier, vol. 101(C), pages 189-203.
    2. Benoît R. Kloeckner, 2022. "Cycles in synchronous iterative voting: general robustness and examples in Approval Voting," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 59(2), pages 423-466, August.
    3. Vincent Merlin & Jörg Naeve, 2000. "Implementation of Social Choice Functions via Demanding Equilibria," Diskussionspapiere aus dem Institut für Volkswirtschaftslehre der Universität Hohenheim 191/2000, Department of Economics, University of Hohenheim, Germany, revised 25 Sep 2001.
    4. Elkind, Edith & Grandi, Umberto & Rossi, Francesca & Slinko, Arkadii, 2020. "Cognitive hierarchy and voting manipulation in k-approval voting," Mathematical Social Sciences, Elsevier, vol. 108(C), pages 193-205.
    5. Sinan Ertemel & Levent Kutlu & M. Remzi Sanver, 2015. "Voting games of resolute social choice correspondences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 45(1), pages 187-201, June.
    6. Joaquín Pérez & Omar De la Cruz, 2014. "Implementation of Jefferson-d’Hondt rule in the formation of a parliamentary committee," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 42(1), pages 17-30, January.
    7. Velez, Rodrigo A. & Thomson, William, 2012. "Let them cheat!," Games and Economic Behavior, Elsevier, vol. 75(2), pages 948-963.
    8. Diss, Mostapha & Dougherty, Keith & Heckelman, Jac C., 2023. "When ties are possible: Weak Condorcet winners and Arrovian rationality," Mathematical Social Sciences, Elsevier, vol. 123(C), pages 128-136.
    9. Yamamura, Hirofumi, 2016. "Coalitional stability in the location problem with single-dipped preferences: An application of the minimax theorem," Journal of Mathematical Economics, Elsevier, vol. 65(C), pages 48-57.
    10. Salvador Barberà & Danilo Coelho, 2004. "On the rule of K names," Working Papers 264, Barcelona School of Economics.
    11. Barberà, Salvador & Coelho, Danilo, 2010. "On the rule of k names," Games and Economic Behavior, Elsevier, vol. 70(1), pages 44-61, September.

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