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Balancedness of social choice correspondences

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  • Kelly, Jerry S.
  • Qi, Shaofang

Abstract

A social choice correspondence satisfies balancedness if, for each pair of alternatives, x and y, and each pair of individuals, i and j , whenever a profile has x adjacent to but just above y for individual i while individual j has y adjacent to but just above x, then only switching x and y in the orderings for both of those two individuals leaves the choice set unchanged. We show how the balancedness condition (satisfied by the Borda, Pareto, and Copeland rules) interacts with other social choice properties, especially tops-only. We also use balancedness to characterize the Borda rule (for a fixed number of voters) within the class of scoring rules.

Suggested Citation

  • Kelly, Jerry S. & Qi, Shaofang, 2019. "Balancedness of social choice correspondences," Mathematical Social Sciences, Elsevier, vol. 102(C), pages 59-67.
    • Handle: RePEc:eee:matsoc:v:102:y:2019:i:c:p:59-67
    DOI: 10.1016/j.mathsocsci.2019.08.003
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    References listed on IDEAS

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    1. Shmuel Nitzan & Ariel Rubinstein, 1981. "A further characterization of Borda ranking method," Public Choice, Springer, vol. 36(1), pages 153-158, January.
    2. Coughlin, Peter, 1979. "A direct characterization of Black's first borda count," Economics Letters, Elsevier, vol. 4(2), pages 131-133.
    3. Hansson, Bengt & Sahlquist, Henrik, 1976. "A proof technique for social choice with variable electorate," Journal of Economic Theory, Elsevier, vol. 13(2), pages 193-200, October.
    4. Smith, John H, 1973. "Aggregation of Preferences with Variable Electorate," Econometrica, Econometric Society, vol. 41(6), pages 1027-1041, November.
    5. Young, H. P., 1974. "An axiomatization of Borda's rule," Journal of Economic Theory, Elsevier, vol. 9(1), pages 43-52, September.
    6. Mihara, H. Reiju, 2017. "Characterizing the Borda ranking rule for a fixed population," MPRA Paper 78093, University Library of Munich, Germany.
    7. Fasil Alemante & Donald E. Campbell & Jerry S. Kelly, 2016. "Characterizing the resolute part of monotonic social choice correspondences," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 62(4), pages 765-783, October.
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    Cited by:

    1. Kelly, Jerry S., 2020. "Characterization of the Pareto social choice correspondence," Mathematical Social Sciences, Elsevier, vol. 108(C), pages 150-155.
    2. Deirdre Haskell & Jeremiah Hurley & Junying Zhao, 2023. "The Possibility of Anonymous Social Orderings Using Curvature of Indifference Hypersurfaces," Department of Economics Working Papers 2023-06, McMaster University.

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