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Conditional Expected Utility Criteria for Decision Making under Ignorance or Objective Ambiguity

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Abstract

We provide an axiomatic characterization of a family of criteria for ranking completely uncertain and/or ambiguous decisions. A completely uncertain decision is described by the set of all its consequences (assumed to be finite). An ambiguous decision is described as a finite set of possible probability distributions over a finite set of prices. Every criterion in the family compares sets on the basis of their conditional expected utility, for some probability function taking strictly positive values and some utility function both having the universe of alternatives as their domain.

Suggested Citation

  • Nicolas Gravel & Thierry Marchant & Arunava Sen, 2016. "Conditional Expected Utility Criteria for Decision Making under Ignorance or Objective Ambiguity," AMSE Working Papers 1614, Aix-Marseille School of Economics, France, revised 04 Jun 2016.
    • Handle: RePEc:aim:wpaimx:1614
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    Cited by:

    1. Anwesha Banerjee & Nicolas Gravel, 2020. "Contribution to a public good under subjective uncertainty," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 22(3), pages 473-500, June.
    2. Alekseev, Aleksandr & Sokolov, Mikhail V., 2021. "How to measure the average rate of change?," Mathematical Social Sciences, Elsevier, vol. 113(C), pages 43-59.
    3. Paolo Brunori & Alain Trannoy & Caterina Francesca Guidi, 2021. "Ranking populations in terms of inequality of health opportunity: A flexible latent type approach," Health Economics, John Wiley & Sons, Ltd., vol. 30(2), pages 358-383, February.
    4. Sharma, Tridib & Vadovic, Radovan, 2010. "Axiom of Monotonicity: An Experimental Test," MPRA Paper 22863, University Library of Munich, Germany.
    5. Amélie Vrijdags, 2013. "Min- and Max-induced rankings: an experimental study," Theory and Decision, Springer, vol. 75(2), pages 233-266, August.
    6. Panagiotis Christias & Ioannis N. Daliakopoulos & Thrassyvoulos Manios & Mariana Mocanu, 2020. "Comparison of Three Computational Approaches for Tree Crop Irrigation Decision Support," Mathematics, MDPI, vol. 8(5), pages 1-26, May.
    7. Szwagrzak, Karol, 2021. "Weighing Sample Evidence," Working Papers 3-2021, Copenhagen Business School, Department of Economics.
    8. Flores-Szwagrzak, Karol, 2022. "Learning by Convex Combination," Working Papers 16-2022, Copenhagen Business School, Department of Economics.

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    More about this item

    Keywords

    Ignorance; Ambiguity; Conditional Probabilities; Expected Utility; Ranking Sets; axioms;
    All these keywords.

    JEL classification:

    • D80 - Microeconomics - - Information, Knowledge, and Uncertainty - - - General
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

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