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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- Lin Zhou & Stephen Ching, 2002. "Multi-valued strategy-proof social choice rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 19(3), pages 569-580.
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- Pattanaik, Prasanta K., 1974. "Stability of sincere voting under some classes of non-binary group decision procedures," Journal of Economic Theory, Elsevier, vol. 8(2), pages 206-224, June.
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- Gibbard, Allan, 1973. "Manipulation of Voting Schemes: A General Result," Econometrica, Econometric Society, vol. 41(4), pages 587-601, July. Full references (including those not matched with items on IDEAS)
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