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Independence Axioms in Social Ranking

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  • Takahiro Suzuki
  • Michele Aleandri
  • Stefano Moretti

Abstract

Independence from non-essential changes in input information is a widely recognized axiom in social choice theory. This independence reduces the cost of specifying and/or analyzing non-essential data. This study makes a comprehensive analysis of independence axioms in the context of social ranking solutions (SRSs). We consider seven independence axioms (two of which are new) and provide a novel characterization of the lexicographic excellence solution and plurality by substituting these independence axioms in the existing characterization of the intersection initial segment rule. The characterizations highlight the differences among the three SRSs in terms of independence.

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  • Takahiro Suzuki & Michele Aleandri & Stefano Moretti, 2025. "Independence Axioms in Social Ranking," Papers 2506.21836, arXiv.org.
    • Handle: RePEc:arx:papers:2506.21836
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    References listed on IDEAS

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    1. Sekiguchi, Yohei, 2012. "A characterization of the plurality rule," Economics Letters, Elsevier, vol. 116(3), pages 330-332.
    2. Takahiro Suzuki & Masahide Horita, 2024. "Consistent social ranking solutions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 62(3), pages 549-569, May.
    3. Giulia Bernardi & Roberto Lucchetti & Stefano Moretti, 2019. "Ranking objects from a preference relation over their subsets," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 52(4), pages 589-606, April.
    4. Barberà, Salvador & Bossert, Walter, 2023. "Opinion aggregation: Borda and Condorcet revisited," Journal of Economic Theory, Elsevier, vol. 210(C).
    5. Hiroki Saitoh, 2022. "Characterization of tie-breaking plurality rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 59(1), pages 139-173, July.
    6. Yohei Sekiguchi, 2012. "A Characterization of the Plurality Rule," CIRJE F-Series CIRJE-F-833, CIRJE, Faculty of Economics, University of Tokyo.
    7. Chun-Hsien Yeh, 2008. "An efficiency characterization of plurality rule in collective choice problems," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 34(3), pages 575-583, March.
    8. Takahiro Suzuki & Michele Aleandri & Stefano Moretti, 2025. "Mill's canons meet social ranking: A characterization of plurality," Papers 2505.10187, arXiv.org.
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