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The Utilitarian Relevance of the Aggregation Theorem

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  • Marc Fleurbaey
  • Philippe Mongin

Abstract

Harsanyi (1955) invested his Aggregation Theorem and Impartial Observer Theorem with utilitarian sense, but Sen (1986) described them as "representation theorems" with little ethical import. This critical view has never been subjected to full analytical scrutiny. 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

  • Marc Fleurbaey & Philippe Mongin, 2016. "The Utilitarian Relevance of the Aggregation Theorem," American Economic Journal: Microeconomics, American Economic Association, vol. 8(3), pages 289-306, August.
    • Handle: RePEc:aea:aejmic:v:8:y:2016:i:3:p:289-306
    Note: DOI: 10.1257/mic.20140238
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    References listed on IDEAS

    as
    1. Mongin, Philippe, 2001. "The impartial observer theorem of social ethics," Economics and Philosophy, Cambridge University Press, vol. 17(2), pages 147-179, October.
    2. John C. Harsanyi, 1953. "Cardinal Utility in Welfare Economics and in the Theory of Risk-taking," Journal of Political Economy, University of Chicago Press, vol. 61(5), pages 434-434.
    3. Marc Fleurbaey, 2010. "Assessing Risky Social Situations," Journal of Political Economy, University of Chicago Press, vol. 118(4), pages 649-680, August.
    4. Simon Grant & Atsushi Kajii & Ben Polak & Zvi Safra, 2010. "Generalized Utilitarianism and Harsanyi's Impartial Observer Theorem," Econometrica, Econometric Society, vol. 78(6), pages 1939-1971, November.
    5. Uzi Segal, 2000. "Let's Agree That All Dictatorships Are Equally Bad," Journal of Political Economy, University of Chicago Press, vol. 108(3), pages 569-589, June.
    6. De Meyer, Bernard & Mongin, Philippe, 1995. "A note on affine aggregation," Economics Letters, Elsevier, vol. 47(2), pages 177-183, February.
    7. Peter A. Diamond, 1967. "Cardinal Welfare, Individualistic Ethics, and Interpersonal Comparison of Utility: Comment," Journal of Political Economy, University of Chicago Press, vol. 75(5), pages 765-765.
    8. Farina, Francesco & Hahn, Frank & Vannucci, Stefano (ed.), 1996. "Ethics, Rationality, and Economic Behaviour," OUP Catalogue, Oxford University Press, number 9780198289814.
    9. Grandmont, Jean-Michel, 1972. "Continuity properties of a von Neumann-Morgenstern utility," Journal of Economic Theory, Elsevier, vol. 4(1), pages 45-57, February.
    10. 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.
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    Cited by:

    1. 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.
    2. 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.
    3. Dietrich, Franz, 2021. "Fully Bayesian aggregation," Journal of Economic Theory, Elsevier, vol. 194(C).
    4. Jean Baccelli & Marcus Pivato, 2021. "Philippe Mongin (1950–2020)," Theory and Decision, Springer, vol. 90(1), pages 1-9, February.
    5. 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.

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    More about this item

    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

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