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A Differential Approach to Gibbard-Satterthwaite Theorem [PDF]
Numerous 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
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Arrow’s theorem and the Gibbard-Satterthwaite theorem: a unified approach
Economics Letters, 2001Philip J Renȳ
exaly
A Quantitative Version of the Gibbard–Satterthwaite Theorem for Three Alternatives
SIAM Journal on Computing, 2011Ehud Friedgut, Gil Kalai, Noam Nisan
exaly
An alternative direct proof of Gibbard?s random dictatorship theorem
Review of Economic Design, 2003Yasuhito Tanaka
exaly
A one-shot proof of Arrow’s theorem and the Gibbard–Satterthwaite theorem
Economic Theory Bulletin, 2013Ning Neil Yu
exaly

