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The Utilitarian Relevance of the Aggregation Theorem

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  • Mongin, Philippe

  • Fleurbaey, Marc

Abstract

Harsanyi invested his Aggregation Theorem and Impartial Observer Theorem with utilitarian sense, but Sen described them as "representation theorems" with little ethical import. This critical view has never been subjected to full analytical scrutinity. The formal argument we provide here supports the utilitarian relevance of the Aggregation Theorem. Following a hint made by Sen himself, we posit an exogeneous utilitarian ordering that evaluates riskless options by the sum of individual utilities and we show that any social observer who obeys the conditions of the Aggregation Theorem evaluates social states in terms of a weighted variant of this utilitarian sum.

Suggested Citation

  • Mongin, Philippe & Fleurbaey, Marc, 2015. "The Utilitarian Relevance of the Aggregation Theorem," HEC Research Papers Series 1115, HEC Paris.
    • Handle: RePEc:ebg:heccah:1115
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    Cited by:

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    2. Sinong Ma & Zvi Safra, 2019. "Fairness and utilitarianism without independence," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 67(1), pages 29-52, February.
    3. Philippe Mongin & Marcus Pivato, 2020. "Social preference under twofold uncertainty," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 70(3), pages 633-663, October.
    4. Dietrich, Franz, 2021. "Fully Bayesian aggregation," Journal of Economic Theory, Elsevier, vol. 194(C).
    5. Marc Fleurbaey, 2020. "Philippe Mongin 1950–2020," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 55(3), pages 399-403, October.
    6. Jean Baccelli & Marcus Pivato, 2021. "Philippe Mongin (1950–2020)," Theory and Decision, Springer, vol. 90(1), pages 1-9, February.

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    JEL classification:

    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

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