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The Number of Times an Anonymous Rule Violates Independence in the 3 × 3 Case

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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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Authors and Affiliations

  1. Department of Mathematics, University of Louisville, Louisville, KY, 40292, USA

    Robert C. Powers

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  1. Robert C. Powers
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Correspondence to Robert C. Powers.

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Powers, R.C. The Number of Times an Anonymous Rule Violates Independence in the 3 × 3 Case. Soc Choice Welfare 28, 363–373 (2007). https://doi.org/10.1007/s00355-006-0172-5

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  • DOI: https://doi.org/10.1007/s00355-006-0172-5

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