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Borda rule and arrow's independence condition in finite societies

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  • Barokas, Guy
  • Nitzan, Shmuel

Abstract

In his refined characterization of the Borda rule, Maskin (2025; forthcoming in the Journal of Political Economy) significantly employs the assumption of a continuum of voters. He concludes by posing an important open question about the possible extension of the characterization result to the case of finitely many voters. This note provides a positive response to this question, based on a novel axiom that conveys the normative appeal of continuity when applied to a discrete setting, namely, that the social rule is not overly sensitive to a small change in voters' preferences.

Suggested Citation

  • Barokas, Guy & Nitzan, Shmuel, 2025. "Borda rule and arrow's independence condition in finite societies," Games and Economic Behavior, Elsevier, vol. 152(C), pages 175-180.
    • Handle: RePEc:eee:gamebe:v:152:y:2025:i:c:p:175-180
    DOI: 10.1016/j.geb.2025.04.008
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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. Graciela Chichilnisky, 1982. "Social Aggregation Rules and Continuity," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 97(2), pages 337-352.
    3. Ahn, David S. & Echenique, Federico & Saito, Kota, 2018. "On path independent stochastic choice," Theoretical Economics, Econometric Society, vol. 13(1), January.
    4. Shmuel Nitzan, 1989. "More on the Preservation of Preference Proximity and Anonymous Social Choice," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 104(1), pages 187-190.
    5. Mihara, H. Reiju, 2017. "Characterizing the Borda ranking rule for a fixed population," MPRA Paper 78093, University Library of Munich, Germany.
    6. Partha Dasgupta & Eric Maskin, 2008. "On The Robustness of Majority Rule," Journal of the European Economic Association, MIT Press, vol. 6(5), pages 949-973, September.
    7. Farkas, Daniel & Nitzan, Shmuel, 1979. "The Borda Rule and Pareto Stability: A Comment," Econometrica, Econometric Society, vol. 47(5), pages 1305-1306, September.
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    More about this item

    Keywords

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    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior

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