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Informational requirements of social choice rules to avoid the Condorcet loser: A characterization of the plurality with a runoff

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  • Sato, Shin

Abstract

We consider informational requirements of social choice rules satisfying anonymity, neutrality, monotonicity, and efficiency, and never choosing the Condorcet loser. Among such rules, we establish the existence of a rule operating on the minimal informational requirement. Depending on the number of agents and the number of alternatives, either the plurality rule or the plurality with a runoff is characterized. In some cases, the plurality rule is the most selective rule among the rules operating on the minimal informational requirement. In the other cases, each rule operating on the minimal informational requirement is a two-stage rule, and among them, the plurality with a runoff is the rule whose choice at the first stage is most selective. These results not only clarify properties of the plurality rule and the plurality with a runoff, but also explain why they are widely used in real societies.

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  • Sato, Shin, 2016. "Informational requirements of social choice rules to avoid the Condorcet loser: A characterization of the plurality with a runoff," Mathematical Social Sciences, Elsevier, vol. 79(C), pages 11-19.
    • Handle: RePEc:eee:matsoc:v:79:y:2016:i:c:p:11-19
    DOI: 10.1016/j.mathsocsci.2015.10.003
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    1. Ching, Stephen, 1996. "A Simple Characterization of Plurality Rule," Journal of Economic Theory, Elsevier, vol. 71(1), pages 298-302, October.
    2. Pattanaik, Prasanta K., 2002. "Positional rules of collective decision-making," Handbook of Social Choice and Welfare, in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 1, chapter 7, pages 361-394, Elsevier.
    3. Sato, Shin, 2009. "Informational requirements of social choice rules," Mathematical Social Sciences, Elsevier, vol. 57(2), pages 188-198, March.
    4. Smith, John H, 1973. "Aggregation of Preferences with Variable Electorate," Econometrica, Econometric Society, vol. 41(6), pages 1027-1041, November.
    5. Roberts, Fred S., 1991. "Characterizations of the plurality function," Mathematical Social Sciences, Elsevier, vol. 21(2), pages 101-127, April.
    6. 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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