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.

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