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A probabilistic aggregation rule for large societies

Author

Listed:
  • Youcef Askoura

    (LEMMA, Université Panthéon-Assas (Paris 2))

  • Antoine Billot

    (LEMMA, Université Panthéon-Assas (Paris 2))

Abstract

For a large society conceived as an infinite set of individuals, a probabilistic rule of aggregation is introduced and defined as a probability distribution over the infinite set of individual utilities. Then, two generalizations of Harsanyi (1955) possibility result are established for large societies (Theorems 1–2), one for an arbitrary space of acts and the other for a finite dimensional one.

Suggested Citation

  • Youcef Askoura & Antoine Billot, 2018. "A probabilistic aggregation rule for large societies," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 6(2), pages 251-262, October.
    • Handle: RePEc:spr:etbull:v:6:y:2018:i:2:d:10.1007_s40505-017-0132-5
    DOI: 10.1007/s40505-017-0132-5
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    References listed on IDEAS

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    Cited by:

    1. Askoura, Youcef & Billot, Antoine, 2021. "Social decision for a measure society," Journal of Mathematical Economics, Elsevier, vol. 94(C).

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