A Differential Approach to Gibbard-Satterthwaite Theorem
AbstractNumerous simple proofs of the celebrated Gibbard-Satterthwaite theorem (Gibbard, 1977, Satterthwaite, 1975) has been given in the literature. These are based on a number of different intuitions about the most fundamental reason for the result. In this paper we derive the Gibbard-Satterthwaite theorem once more, this time in a differentiable environment using the idea of potential games (Rosenthal, 1973, Monderer and Shapley, 1996). Our proof is very different from those that have been given previously.
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Bibliographic InfoPaper provided by Aboa Centre for Economics in its series Discussion Papers with number 74.
Date of creation: Sep 2012
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Differentiable function; Gibbard-Satterthwaite theorem; Potential game; Strategy-Proofness;
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