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A conjecture on the construction of orderings by Borda’s rule

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Abstract

For a fixed number n of individuals, and a given weak ordering of m alternatives, we ask: is there a profile of n preferences that maps to that ordering under Borda’s rule? Evidence is presented for a conjectured answer, which is settled except for the case of odd n and even m.

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Acknowledgments

We thank Donald E. Campbell for comments on an earlier draft. We also thank two referees and the editor Clemens Puppe for comments and suggestions.

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Authors and Affiliations

  1. Department of Economics, Syracuse University, Syracuse, NY, 13244-1020, USA

    Jerry S. Kelly & Shaofang Qi

  2. School of Business and Economics, Humboldt University Berlin, Spandauer Str. 1, 10178, Berlin, Germany

    Shaofang Qi

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  1. Jerry S. Kelly
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  2. Shaofang Qi
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Correspondence to Shaofang Qi.

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Kelly, J.S., Qi, S. A conjecture on the construction of orderings by Borda’s rule. Soc Choice Welf 47, 113–125 (2016). https://doi.org/10.1007/s00355-015-0948-6

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  • DOI: https://doi.org/10.1007/s00355-015-0948-6

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