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Mediators Enable Truthful Voting

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  • Bezalel Peleg
  • Ariel D. Procaccia

Abstract

The 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.

Suggested Citation

  • Bezalel Peleg & Ariel D. Procaccia, 2007. "Mediators Enable Truthful Voting," Discussion Paper Series dp451, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
    • Handle: RePEc:huj:dispap:dp451
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    References listed on IDEAS

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    1. Peleg,Bezalel, 2008. "Game Theoretic Analysis of Voting in Committees," Cambridge Books, Cambridge University Press, number 9780521074650.
    2. 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.
    3. Peleg,Bezalel, 2008. "Game Theoretic Analysis of Voting in Committees," Cambridge Books, Cambridge University Press, number 9780521074650.
    4. Bezalel Peleg, 1997. "Effectivity functions, game forms, games, and rights," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 15(1), pages 67-80.
    5. Gibbard, Allan, 1973. "Manipulation of Voting Schemes: A General Result," Econometrica, Econometric Society, vol. 41(4), pages 587-601, July.
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    1. Bezalel Peleg & Ariel Procaccia, 2010. "Implementation by mediated equilibrium," International Journal of Game Theory, Springer;Game Theory Society, vol. 39(1), pages 191-207, March.
    2. Peleg, Bezalel & Peters, Hans, 2017. "Feasible elimination procedures in social choice: An axiomatic characterization," Research in Economics, Elsevier, vol. 71(1), pages 43-50.

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