A geometric proof of Gibbard's random dictatorship theorem (*)

John Duggan

Economic Theory, 1996, vol. 7, issue 2, 365-369

Abstract: Gibbard has shown that a social choice function is strategy-proof if and only if it is a convex combination of dictatorships and pair-wise social choice functions. I use geometric techniques to prove the corollary that every strategy-proof and sovereign social choice function is a random dictatorship.

Date: 1996
Note: Received: November 26, 1993; revised version June 20, 1994
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Journal Article: A Geometric Proof of Gibbard's Random Dictatorship Theorem (1996)
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