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Infinite Population and Positive Responsiveness: A Note

Author

Listed:
  • Susumu Cato

    (Institute of Social Science, The University of Tokyo)

Abstract

This paper shows an Arrovian impossibility result with acyclic social preferences. The set of individuals is assumed to be infinite. Positive responsiveness and a strong version of non-dictatorship are imposed.

Suggested Citation

  • Susumu Cato, 2018. "Infinite Population and Positive Responsiveness: A Note," Economics Bulletin, AccessEcon, vol. 38(1), pages 196-200.
    • Handle: RePEc:ebl:ecbull:eb-17-00787
    as

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    File URL: http://www.accessecon.com/Pubs/EB/2018/Volume38/EB-18-V38-I1-P20.pdf
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    References listed on IDEAS

    as
    1. Shino Takayama & Akira Yokotani, 2017. "Social choice correspondences with infinitely many agents: serial dictatorship," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(3), pages 573-598, March.
    2. Andreu Mas-Colell & Hugo Sonnenschein, 1972. "General Possibility Theorems for Group Decisions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 39(2), pages 185-192.
    3. Fishburn, Peter C., 1970. "Arrow's impossibility theorem: Concise proof and infinite voters," Journal of Economic Theory, Elsevier, vol. 2(1), pages 103-106, March.
    4. Kirman, Alan P. & Sondermann, Dieter, 1972. "Arrow's theorem, many agents, and invisible dictators," Journal of Economic Theory, Elsevier, vol. 5(2), pages 267-277, October.
    5. Nagahisa, Ryo-ichi, 1993. "Acyclic and positive responsive social choice with infinite individuals : An alternative 'invisible dictator' theorem," Journal of Mathematical Economics, Elsevier, vol. 22(4), pages 347-358.
    6. Susumu Cato, 2018. "Decisive coalitions and positive responsiveness," Metroeconomica, Wiley Blackwell, vol. 69(1), pages 308-323, February.
    7. Lauwers, Luc & Van Liedekerke, Luc, 1995. "Ultraproducts and aggregation," Journal of Mathematical Economics, Elsevier, vol. 24(3), pages 217-237.
    8. Cato, Susumu, 2017. "Unanimity, anonymity, and infinite population," Journal of Mathematical Economics, Elsevier, vol. 71(C), pages 28-35.
    9. Susumu Cato, 2016. "Rationality and Operators," SpringerBriefs in Economics, Springer, number 978-981-10-1896-1, September.
    10. Jun Iritani & Tomoyuki Kamo & Ryo-ichi Nagahisa, 2013. "Vetoer and tie-making group theorems for indifference-transitive aggregation rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(1), pages 155-171, January.
    11. Susumu Cato, 2013. "Quasi-decisiveness, quasi-ultrafilter, and social quasi-orderings," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 41(1), pages 169-202, June.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Social choice; Arrow's impossibility theorem; Unanimity; Positive responsiveness; Ultrafilter;
    All these keywords.

    JEL classification:

    • D7 - Microeconomics - - Analysis of Collective Decision-Making
    • D6 - Microeconomics - - Welfare Economics

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