On the learnability of majority rule |
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Authors: | Yuval Salant |
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Institution: | Stanford Graduate School of Business, 518 Memorial Way, Stanford, CA 94305-5015, USA |
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Abstract: | We establish how large a sample of past decisions is required to predict future decisions of a committee with few members. The committee uses majority rule to choose between pairs of alternatives. Each member's vote is derived from a linear ordering over all the alternatives. We prove that there are cases in which an observer cannot predict precisely any decision of a committee based on its past decisions. Nonetheless, approximate prediction is possible after observing relatively few random past decisions. |
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Keywords: | D71 D83 |
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