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

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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Year of publication:	1996
Authors:	Duggan, John
Published in:	Economic Theory. - Springer. - Vol. 7.1996, 2, p. 365-369
Publisher:	Springer

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Type of publication:	Article
Notes:	Received: November 26, 1993; revised version June 20, 1994
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10005371201