Mediators Enable Truthful Voting
AbstractThe Gibbard-Satterthwaite Theorem asserts the impossibility of designing a non-dictatorial voting rule in which truth-telling always constitutes a Nash equilibrium. We show that in voting games of complete information where a mediator is on hand, this troubling impossibility result can be alleviated. Indeed, we characterize families of voting rules where, given a mediator, truthful preference revelation is always in strong equilibrium. In particular, we observe that the family of feasible elimination procedures has the foregoing property.
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Bibliographic InfoPaper provided by The Center for the Study of Rationality, Hebrew University, Jerusalem in its series Discussion Paper Series with number dp451.
Length: 11 pages
Date of creation: Apr 2007
Date of revision:
Other versions of this item:
- NEP-ALL-2007-05-26 (All new papers)
- NEP-CDM-2007-05-26 (Collective Decision-Making)
- NEP-GTH-2007-05-26 (Game Theory)
- NEP-POL-2007-05-26 (Positive Political Economics)
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- Satterthwaite, Mark Allen, 1975. "Strategy-proofness and Arrow's conditions: Existence and correspondence theorems for voting procedures and social welfare functions," Journal of Economic Theory, Elsevier, vol. 10(2), pages 187-217, April.
- Peleg,Bezalel, 2008.
"Game Theoretic Analysis of Voting in Committees,"
Cambridge University Press, number 9780521074650, November.
- Bezalel Peleg, 1997. "Effectivity functions, game forms, games, and rights," Social Choice and Welfare, Springer, vol. 15(1), pages 67-80.
- Bezalel Peleg & Ariel Procaccia, 2010.
"Implementation by mediated equilibrium,"
International Journal of Game Theory,
Springer, vol. 39(1), pages 191-207, March.
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