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Strong equilibrium outcomes of voting games ¶are the generalized Condorcet winners

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  • Murat R. Sertel
  • M. 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

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Bibliographic Info

Article provided by Springer in its journal Social Choice and Welfare.

Volume (Year): 22 (2004)
Issue (Month): 2 (04)
Pages: 331-347

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Handle: RePEc:spr:sochwe:v:22:y:2004:i:2:p:331-347

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  1. Bhaskar Dutta & Arunava Sen, 1994. "2-person Bayesian implementation," Review of Economic Design, Springer, vol. 1(1), pages 41-54, December.
  2. Otani, Yoshihiko & Sicilian, Joseph, 1990. "Limit properties of equilibrium allocations of Walrasian strategic games," Journal of Economic Theory, Elsevier, vol. 51(2), pages 295-312, August.
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  4. Roth, Alvin E., 1984. "Misrepresentation and stability in the marriage problem," Journal of Economic Theory, Elsevier, vol. 34(2), pages 383-387, December.
  5. Nicolaus Tideman, 1995. "The Single Transferable Vote," Journal of Economic Perspectives, American Economic Association, vol. 9(1), pages 27-38, Winter.
  6. Peleg, Bezalel, 2002. "Game-theoretic analysis of voting in committees," Handbook of Social Choice and Welfare, in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 1, chapter 8, pages 395-423 Elsevier.
  7. Thomson, William, 1984. "The Manipulability of Resource Allocation Mechanisms," Review of Economic Studies, Wiley Blackwell, vol. 51(3), pages 447-60, July.
  8. Dasgupta, Partha S & Hammond, Peter J & Maskin, Eric S, 1979. "The Implementation of Social Choice Rules: Some General Results on Incentive Compatibility," Review of Economic Studies, Wiley Blackwell, vol. 46(2), pages 185-216, April.
  9. Sertel, Murat R., 1988. "Characterizing approval voting," Journal of Economic Theory, Elsevier, vol. 45(1), pages 207-211, June.
  10. Abreu, Dilip & Sen, Arunava, 1990. "Subgame perfect implementation: A necessary and almost sufficient condition," Journal of Economic Theory, Elsevier, vol. 50(2), pages 285-299, April.
  11. Sertel, Murat R. & Sanver, M. Remzi, 1999. "Equilibrium outcomes of Lindahl-endowment pretension games1," European Journal of Political Economy, Elsevier, vol. 15(2), pages 149-162, June.
  12. Danilov, Vladimir, 1992. "Implementation via Nash Equilibria," Econometrica, Econometric Society, vol. 60(1), pages 43-56, January.
  13. Bilge Yilmaz & Murat R. Sertel, 1999. "The majoritarian compromise is majoritarian-optimal and subgame-perfect implementable," Social Choice and Welfare, Springer, vol. 16(4), pages 615-627.
  14. Debreu,Gerard Introduction by-Name:Hildenbrand,Werner, 1986. "Mathematical Economics," Cambridge Books, Cambridge University Press, number 9780521335614, November.
  15. Dutta, Bhaskar & Sen, Arunava, 1991. "Implementation under strong equilibrium : A complete characterization," Journal of Mathematical Economics, Elsevier, vol. 20(1), pages 49-67.
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Cited by:
  1. 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.
  2. Salvador Barberà & Danilo Coelho, 2004. "On the rule of K names," Working Papers 264, Barcelona Graduate School of Economics.
  3. Salvador Barberà & Danilo Coelho, 2013. "Balancing the Power to Appoint Officers," Working Papers 696, Barcelona Graduate School of Economics.
  4. Rodrigo Velez & William Thomson, 2009. "Let them cheat!," RCER Working Papers 552, University of Rochester - Center for Economic Research (RCER).

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