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Kuhn's Theorem for Extensive Form Ellsberg Games

Author

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  • Sass, Linda

    (Center for Mathematical Economics, Bielefeld University)

Abstract

Riedel and Sass (2013) propose a framework for normal form games where players can use imprecise probabilistic devices. We extend this strategic use of objective ambiguity to extensive form games. We show that with rectangularity of Ellsberg strategies we have dynamic consistency in the sense of Kuhn (1953): rectangular Ellsberg strategies are equivalent to Ellsberg behavior strategies. We provide an example for our result and define Ellsberg equilibrium in such extensive form Ellsberg games.

Suggested Citation

  • Sass, Linda, 2014. "Kuhn's Theorem for Extensive Form Ellsberg Games," Center for Mathematical Economics Working Papers 478, Center for Mathematical Economics, Bielefeld University.
  • Handle: RePEc:bie:wpaper:478
    as

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    File URL: https://pub.uni-bielefeld.de/download/2674088/2901849
    File Function: First Version, 2013
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    References listed on IDEAS

    as
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    10. Gajdos, T. & Hayashi, T. & Tallon, J.-M. & Vergnaud, J.-C., 2008. "Attitude toward imprecise information," Journal of Economic Theory, Elsevier, vol. 140(1), pages 27-65, May.
    11. Gaurab Aryal & Ronald Stauber, 2014. "Trembles in extensive games with ambiguity averse players," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 57(1), pages 1-40, September.
    12. Martin J. Osborne & Ariel Rubinstein, 1994. "A Course in Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262650401, January.
    13. Lo, Kin Chung, 1999. "Extensive Form Games with Uncertainty Averse Players," Games and Economic Behavior, Elsevier, vol. 28(2), pages 256-270, August.
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    Cited by:

    1. Aryal, Gaurab & Stauber, Ronald, 2014. "A note on Kuhn’s Theorem with ambiguity averse players," Economics Letters, Elsevier, vol. 125(1), pages 110-114.
    2. repec:spr:homoec:v:34:y:2017:i:4:d:10.1007_s41412-017-0061-4 is not listed on IDEAS
    3. Dorian Beauchêne, 2016. "Solution concepts for games with ambiguous payoffs," Theory and Decision, Springer, vol. 80(2), pages 245-269, February.
    4. Muraviev, Igor & Riedel, Frank & Sass, Linda, 2017. "Kuhn’s Theorem for extensive form Ellsberg games," Journal of Mathematical Economics, Elsevier, vol. 68(C), pages 26-41.
    5. repec:eee:gamebe:v:104:y:2017:i:c:p:271-292 is not listed on IDEAS
    6. Stauber, Ronald, 2017. "Irrationality and ambiguity in extensive games," Games and Economic Behavior, Elsevier, vol. 102(C), pages 409-432.

    More about this item

    Keywords

    Rectangularity; Kuhn's Theorem; Strategic Ambiguity; Extensive Form Ellsberg Games; Knightian Uncertainty in Games; Objective Ambiguity;

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