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A Geometric Proof of Gibbard's Random Dictatorship Theorem
John Duggan
Economic Theory
Vol. 7, No. 2 (Feb., 1996), pp. 365-369
Published by: Springer
Stable URL: http://www.jstor.org/stable/25054927
Page Count: 5
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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.
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Economic Theory © 1996 Springer