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The Number of Times an Anonymous Rule Violates Independence in the 3 × 3 Case
Authors:Robert C. Powers
Affiliation:(1) Department of Mathematics, University of Louisville, Louisville, KY 40292, USA
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.
Keywords:
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