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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Volume (Year): 7 (1996)
Issue (Month): 2 (February)
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