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Expected utility without parsimony

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  • Billot, Antoine
  • Vergopoulos, Vassili

Abstract

This paper develops a model of observable behavior which is explicitly sensitive to knowledge and belief. First, when knowledge and belief agree – asituation called parsimony – each state of the world is proved to encode a well-defined single observation and, therefore, observable behavior is consistent with Subjective Expected Utility (seu). Second, under ambiguity, knowledge and belief disagree but, even in this case, the restriction of observable preferences to the subdomain of events over which knowledge and belief agree necessarily conforms to seu. Third, beyond this subdomain, observable preferences may contradict seu and be, for instance, of the Choquet Expected Utility (ceu) type. Finally, knowledge and belief are shown to give rise to a compelling form of dynamic consistency always achieved under ambiguity.

Suggested Citation

  • Billot, Antoine & Vergopoulos, Vassili, 2018. "Expected utility without parsimony," Mathematical Social Sciences, Elsevier, vol. 93(C), pages 14-21.
  • Handle: RePEc:eee:matsoc:v:93:y:2018:i:c:p:14-21
    DOI: 10.1016/j.mathsocsci.2017.11.004
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    Cited by:

    1. Minardi, Stefania & Savochkin, Andrei, 2019. "Subjective contingencies and limited Bayesian updating," Journal of Economic Theory, Elsevier, vol. 183(C), pages 1-45.
    2. Calford, Evan, 2016. "Mixed Strategies in Games with Ambiguity Averse Agents," MPRA Paper 74909, University Library of Munich, Germany.
    3. Blume, Lawrence & Easley, David & Halpern, Joseph Y., 2021. "Constructive decision theory," Journal of Economic Theory, Elsevier, vol. 196(C).
    4. Grant Simon & Guerdjikova Ani & Quiggin John, 2021. "Ambiguity and Awareness: A Coherent Multiple Priors Model," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 21(2), pages 571-612, June.
    5. Adam Dominiak & Ani Guerdjikova, 2021. "Pessimism and optimism towards new discoveries," Theory and Decision, Springer, vol. 90(3), pages 321-370, May.

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    More about this item

    JEL classification:

    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
    • D90 - Microeconomics - - Micro-Based Behavioral Economics - - - General

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