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Aggregating Tastes, Beliefs, and Attitudes under Uncertainty

Author

Listed:
  • Eric Danan

    (Université de Cergy-Pontoise, THEMA)

  • Thibault Gajdos

    (Université d’Aix-Marseille)

  • Brian Hill

    (GREGHEC, CNRS, HEC Paris)

  • Jean-Marc Tallon

    (Paris School of Economics, CNRS)

Abstract
We provide possibility results on the aggregation of beliefs and tastes for Monotone, Bernoullian and Archimedian preferences of Cerreia-Vioglio, Ghirardato, Maccheroni, Marinacci, and Siniscalchi (2011). We propose a new axiom, Unambiguous Pareto Dominance, which requires that if the unambiguous part of individuals’ preferences over a pair of acts agree, then society should follow them. We characterize the resulting social preferences and show that it is enough that individuals share a prior to allow non dictatorial aggregation. A further weakening of this axiom on common-taste acts, where cardinal preferences are identical, is also characterized. It gives rise to a set of relevant priors at the social level that can be any subset of the convex hull of the individuals’ sets of relevant priors. We then apply these general results to the Maxmin Expected Utility model, the Choquet Expected Utility model and the Smooth Ambiguity model. We end with a characterization of the aggregation of ambiguity attitudes.

Suggested Citation

  • Eric Danan & Thibault Gajdos & Brian Hill & Jean-Marc Tallon, 2014. "Aggregating Tastes, Beliefs, and Attitudes under Uncertainty," THEMA Working Papers 2014-13, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
  • Handle: RePEc:ema:worpap:2014-13
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    File URL: http://thema.u-cergy.fr/IMG/documents/2014-13.pdf
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    References listed on IDEAS

    as
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    More about this item

    Keywords

    Preference Aggregation; Social Choice; Uncertainty;
    All these keywords.

    JEL classification:

    • 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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