The Number of Times an Anonymous Rule Violates Independence in the 3 × 3 Case |
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| Authors: | Robert C. Powers |
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| Affiliation: | (1) Department of Mathematics, University of Louisville, Louisville, KY 40292, USA |
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| Abstract: | If an anonymous rule f always outputs a transitive relation and satisfies Pareto, then, by Arrow’s theorem, f violates the condition of independence. We give lower and upper bounds for the number of times an anonymous rule violates independence in the case of three alternatives and three voters. |
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