Organ Transplants, Hiring Committees, and Early Rounds of the Kappell Piano Competition
Function g selects exactly k alternatives as a function of the preferences of n individuals. It cannot be manipulated by any individual, assuming that an individual prefers set A to B whenever A can be obtained from B by eliminating some alternatives and replacing each with a preferred alternative. Then there is someone whose k top-ranked alternatives are always selected if: (i). k = 2 and n $ 2; or (ii). k = 3 and n = 2; or (iii). k > 3, n = 2, and g has a unanimity property; or (iv). k > 2, n $ 2, g has a unanimity property, and no coalition can manipulate.
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- Barbera, Salvador & Dutta, Bhaskar & Sen, Arunava, 2001.
"Strategy-proof Social Choice Correspondences,"
Journal of Economic Theory,
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- Barbera, Salvador, 1983. "Strategy-Proofness and Pivotal Voters: A Direct Proof of the Gibbard-Satterthwaite Theorem," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 24(2), pages 413-17, June.
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