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

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Author Info
Murat R. Sertel
M. Remzi Sanver ()

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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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File URL: http://hdl.handle.net/10.1007/s00355-003-0218-x
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Publisher 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. 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. [Downloadable!]
  2. Brams, S.J. & Sanver, R.M., 2003. "Voter Sovereignty and Election Outcomes," Working Papers 03-07, C.V. Starr Center for Applied Economics, New York University. [Downloadable!]
  3. Rodrigo Velez & William Thomson, 2009. "Let them cheat!," RCER Working Papers 552, University of Rochester - Center for Economic Research (RCER). [Downloadable!]
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