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Quasi-stationary social welfare functions

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  • Susumu Cato

    (The University of Tokyo)

Abstract

This paper examines collective decision-making with an infinite-time horizon setting. First, we establish a result on the collection of decisive sets: if there are at least four alternatives and Arrow’s axioms are satisfied on the selfish domain, then the collection of decisive sets forms an ultrafilter. Second, we impose generalized versions of stationarity axiom for social preferences, which are substantially weaker than the standard version. We show that if any of our generalized versions are satisfied in addition to Arrow’s axioms, then some generation is dictatorial. Moreover, we specify a very weak stationarity axiom that guarantees a possibility result.

Suggested Citation

  • Susumu Cato, 2020. "Quasi-stationary social welfare functions," Theory and Decision, Springer, vol. 89(1), pages 85-106, July.
    • Handle: RePEc:kap:theord:v:89:y:2020:i:1:d:10.1007_s11238-020-09746-4
    DOI: 10.1007/s11238-020-09746-4
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    Cited by:

    1. Susumu Cato, 2022. "Stable preference aggregation with infinite population," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 59(2), pages 287-304, August.
    2. Cato, Susumu, 2021. "Preference aggregation and atoms in measures," Journal of Mathematical Economics, Elsevier, vol. 94(C).

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