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Decisive coalitions and positive responsiveness

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  • Susumu Cato

Abstract

This paper addresses the Arrovian social choice problem. Our focus is the role of positive responsiveness, which requires social judgments to be strongly monotonic with respect to individual judgments. We clarify the structure of decisive coalitions associated with collective choice rules that satisfy positive responsiveness and Arrow's axioms. Transitivity of social preferences is relaxed to quasi†transitivity or acyclicity.

Suggested Citation

  • Susumu Cato, 2018. "Decisive coalitions and positive responsiveness," Metroeconomica, Wiley Blackwell, vol. 69(1), pages 308-323, February.
  • Handle: RePEc:bla:metroe:v:69:y:2018:i:1:p:308-323
    DOI: 10.1111/meca.12180
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    Cited by:

    1. Wesley H. Holliday & Eric Pacuit, 2023. "An extension of May's Theorem to three alternatives: axiomatizing Minimax voting," Papers 2312.14256, arXiv.org.
    2. Susumu Cato, 2018. "Infinite Population and Positive Responsiveness: A Note," Economics Bulletin, AccessEcon, vol. 38(1), pages 196-200.
    3. Cato, Susumu, 2021. "Preference aggregation and atoms in measures," Journal of Mathematical Economics, Elsevier, vol. 94(C).

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