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Expected Utility in the Context of a Game

Author

Listed:
  • Itzhak Gilboa

    (GREGH - Groupement de Recherche et d'Etudes en Gestion à HEC - HEC Paris - Ecole des Hautes Etudes Commerciales - CNRS - Centre National de la Recherche Scientifique)

  • D. Schmeidler
Abstract
A decision maker faces a decision problem, or a game against nature. For each probability distribution over the state of the world (nature's strategies), she has a weak order over her acts (pure strategies).We formulate conditions on these weak orders guaranteeing that they can be jointly represented by expected utility maximization with respect to an almost-unique state-dependent utility, that is, a matrix assigning real numbers to act-state pairs. As opposed to a utility function that is derived in another context, the utility matrix derived in the game will incorporate all psychological or sociological determinants of well-being that result from the very fact that the outcomes are obtained in a given game.

Suggested Citation

  • Itzhak Gilboa & D. Schmeidler, 2003. "Expected Utility in the Context of a Game," Post-Print hal-00752136, HAL.
    • Handle: RePEc:hal:journl:hal-00752136
    DOI: 10.1016/S0899-8256(03)00015-0
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    Citations

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    Cited by:

    1. Brandl, Florian & Brandt, Felix, 2019. "Justifying optimal play via consistency," Theoretical Economics, Econometric Society, vol. 14(4), November.
    2. Azrieli, Yaron, 2011. "Axioms for Euclidean preferences with a valence dimension," Journal of Mathematical Economics, Elsevier, vol. 47(4-5), pages 545-553.
    3. Castillo, Marco E. & Cross, Philip J. & Freer, Mikhail, 2019. "Nonparametric utility theory in strategic settings: Revealing preferences and beliefs from proposal–response games," Games and Economic Behavior, Elsevier, vol. 115(C), pages 60-82.
    4. Grant, Simon & Meneghel, Idione & Tourky, Rabee, 2016. "Savage games," Theoretical Economics, Econometric Society, vol. 11(2), May.
    5. O’Callaghan, Patrick H., 2017. "Axioms for parametric continuity of utility when the topology is coarse," Journal of Mathematical Economics, Elsevier, vol. 72(C), pages 88-94.
    6. O’Callaghan, Patrick, 2011. "Context and Decision: Utility on a Union of Mixture Spaces," The Warwick Economics Research Paper Series (TWERPS) 973, University of Warwick, Department of Economics.
    7. Li, Chen & Turmunkh, Uyanga & Wakker, Peter P., 2020. "Social and strategic ambiguity versus betrayal aversion," Games and Economic Behavior, Elsevier, vol. 123(C), pages 272-287.
    8. O'Callaghan, Patrick, 2011. "Context and Decision: Utility on a Union of Mixture Spaces," Economic Research Papers 270751, University of Warwick - Department of Economics.
    9. O'Callaghan, Patrick, 2013. "Ordinal, nonlinear context dependence," Risk and Sustainable Management Group Working Papers 152450, University of Queensland, School of Economics.
    10. Castillo, Marco E. & Cross, Philip J., 2008. "Of mice and men: Within gender variation in strategic behavior," Games and Economic Behavior, Elsevier, vol. 64(2), pages 421-432, November.
    11. Chambers, Christopher P. & Hayashi, Takashi, 2012. "Choice and individual welfare," Journal of Economic Theory, Elsevier, vol. 147(5), pages 1818-1849.

    More about this item

    Keywords

    Expected Utility; Game;

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