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A Characterization of the Plurality Rule

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  • Yohei Sekiguchi

    (Faculty of Economics, University of Tokyo)

Abstract

We consider an axiomatic characterization of the plurality rule, which selects the alternative(s) most preferred by the largest number of individuals. We strengthen the characterization result of Yeh (Economic Theory 34: 575{583, 2008) by replacing effciency axiom by the weaker axiom called faithfulness . Formally, we show that the plurality rule is the only rule satisfying anonymity, neutrality, reinforcement, tops-only , and faithfulness .

Suggested Citation

  • Yohei Sekiguchi, 2012. "A Characterization of the Plurality Rule," CIRJE F-Series CIRJE-F-833, CIRJE, Faculty of Economics, University of Tokyo.
  • Handle: RePEc:tky:fseres:2012cf833
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    File URL: http://www.cirje.e.u-tokyo.ac.jp/research/dp/2012/2012cf833.pdf
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    References listed on IDEAS

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    1. H. Reiju Mihara, 2000. "Coalitionally strategyproof functions depend only on the most-preferred alternatives," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 17(3), pages 393-402.
    2. B. Fine & K. Fine, 1974. "Social Choice and Individual Rankings II," Review of Economic Studies, Oxford University Press, vol. 41(4), pages 459-475.
    3. Ching, Stephen, 1996. "A Simple Characterization of Plurality Rule," Journal of Economic Theory, Elsevier, vol. 71(1), pages 298-302, October.
    4. Barbera, Salvador & Sonnenschein, Hugo & Zhou, Lin, 1991. "Voting by Committees," Econometrica, Econometric Society, vol. 59(3), pages 595-609, May.
    5. B. Fine & K. Fine, 1974. "Social Choice and Individual Ranking I," Review of Economic Studies, Oxford University Press, vol. 41(3), pages 303-322.
    6. Semih Koray, 2000. "Self-Selective Social Choice Functions Verify Arrow and Gibbarad- Satterthwaite Theorems," Econometrica, Econometric Society, vol. 68(4), pages 981-996, July.
    7. Jordi Massó & Alejandro Neme, 2004. "A maximal domain of preferences for strategy-proof, efficient, and simple rules in the division problem," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 23(2), pages 187-206, October.
    8. H. Moulin, 1980. "On strategy-proofness and single peakedness," Public Choice, Springer, vol. 35(4), pages 437-455, January.
    9. Smith, John H, 1973. "Aggregation of Preferences with Variable Electorate," Econometrica, Econometric Society, vol. 41(6), pages 1027-1041, November.
    10. Young, H. P., 1974. "An axiomatization of Borda's rule," Journal of Economic Theory, Elsevier, vol. 9(1), pages 43-52, September.
    11. 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.
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    Cited by:

    1. repec:spr:sochwe:v:49:y:2017:i:3:d:10.1007_s00355-017-1066-4 is not listed on IDEAS
    2. Walter Bossert & Kotaro Suzumura, 2017. "The greatest unhappiness of the least number," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 49(3), pages 637-655, December.
    3. Z. Emel Ozturk, 2017. "A composition-consistency characterization of the plurality rule," Working Papers 2017_04, Business School - Economics, University of Glasgow.

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