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A note on affine aggregation

Author

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  • Bernard De Meyer

    () (CERMSEM - CEntre de Recherche en Mathématiques, Statistique et Économie Mathématique - UP1 - Université Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

  • Philippe Mongin

    (CECO - Laboratoire d'économétrie de l'École polytechnique - X - École polytechnique - CNRS - Centre National de la Recherche Scientifique)

Abstract

If a vector-valued function has convex range and one of its components is related to the others by a Pareto-like condition, that component must be affine w.r.t. the others; sign restrictions on the coefficients follow from suitably strengthening the unanimity condition. The theorem is applied to social choice and decision theories.
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Suggested Citation

  • Bernard De Meyer & Philippe Mongin, 1995. "A note on affine aggregation," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00259707, HAL.
  • Handle: RePEc:hal:cesptp:hal-00259707
    Note: View the original document on HAL open archive server: https://hal.archives-ouvertes.fr/hal-00259707
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    References listed on IDEAS

    as
    1. John C. Harsanyi, 1955. "Cardinal Welfare, Individualistic Ethics, and Interpersonal Comparisons of Utility," Journal of Political Economy, University of Chicago Press, vol. 63, pages 309-309.
    2. Mongin Philippe, 1995. "Consistent Bayesian Aggregation," Journal of Economic Theory, Elsevier, vol. 66(2), pages 313-351, August.
    3. Karni, Edi & Schmeidler, David & Vind, Karl, 1983. "On State Dependent Preferences and Subjective Probabilities," Econometrica, Econometric Society, vol. 51(4), pages 1021-1031, July.
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    More about this item

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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