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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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    1. De Meyer, Bernard & Mongin, Philippe, 1995. "A note on affine aggregation," Economics Letters, Elsevier, vol. 47(2), pages 177-183, February.
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    5. Zeshui Xu, 2015. "Uncertain Multi-Attribute Decision Making," Springer Books, Springer, edition 127, number 978-3-662-45640-8, January.
    6. John C. Harsanyi, 1955. "Cardinal Welfare, Individualistic Ethics, and Interpersonal Comparisons of Utility," Journal of Political Economy, University of Chicago Press, vol. 63(4), pages 309-309.
    7. Kreps, David M, 1979. "A Representation Theorem for "Preference for Flexibility"," Econometrica, Econometric Society, vol. 47(3), pages 565-577, May.
    8. Charalambos D. Aliprantis & Kim C. Border, 2006. "Infinite Dimensional Analysis," Springer Books, Springer, edition 0, number 978-3-540-29587-7, January.
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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).
    2. Youcef Askoura & Antoine Billot, 2021. "Social decision for a measure society," Post-Print hal-04120433, HAL.

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