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The Gibbard–Satterthwaite theorem: A simple proof. (English) Zbl 0956.91064
Summary: A simple proof of the Gibbard-Satterthwaite theorem is provided.

MSC:
91B82 Statistical methods; economic indices and measures
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[2] Geanakoplos, J., Three brief proofs of arrow’s impossibility theorem, (1996), Cowles Foundation Yale University, Mimeo · Zbl 1097.91031
[3] Gibbard, A., Manipulation of voting schemes: a general result, Econometrica, 41, 587-600, (1977) · Zbl 0325.90081
[4] Reny, P.J., 1999. Arrow’s theorem and the Gibbard-Satterthwaite theorem: a unified approach, mimeo. · Zbl 0963.91019
[5] Satterthwaite, M.A., Strategy-proofness and arrow’s conditions: existence and correspondence theorems for voting procedures and social welfare functions, Journal of economic theory, 10, 187-217, (1975) · Zbl 0315.90088
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