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Nash equilibria for games in capacities

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  • Roman Kozhan
  • Michael Zarichnyi

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  • Roman Kozhan & Michael Zarichnyi, 2008. "Nash equilibria for games in capacities," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 35(2), pages 321-331, May.
    • Handle: RePEc:spr:joecth:v:35:y:2008:i:2:p:321-331
    DOI: 10.1007/s00199-007-0241-8
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    References listed on IDEAS

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    1. Dow James & Werlang Sergio Ribeiro Da Costa, 1994. "Nash Equilibrium under Knightian Uncertainty: Breaking Down Backward Induction," Journal of Economic Theory, Elsevier, vol. 64(2), pages 305-324, December.
    2. Schmeidler, David, 1989. "Subjective Probability and Expected Utility without Additivity," Econometrica, Econometric Society, vol. 57(3), pages 571-587, May.
    3. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
    4. repec:ebl:ecbull:v:3:y:2004:i:14:p:1-4 is not listed on IDEAS
    5. Michael Zarichnyi, 2004. "Continuity of the payoff function revisited," Economics Bulletin, AccessEcon, vol. 3(14), pages 1-4.
    6. Aliprantis, Charalambos D. & Glycopantis, Dionysius & Puzzello, Daniela, 2006. "The joint continuity of the expected payoff functions," Journal of Mathematical Economics, Elsevier, vol. 42(2), pages 121-130, April.
    7. ZHOU, Lin, 1996. "Integral Representation of Continuous Comonotonically Additive Functionals," LIDAM Discussion Papers CORE 1996005, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    8. Larry G. Epstein, 1999. "A Definition of Uncertainty Aversion," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 66(3), pages 579-608.
    9. Daniel Ellsberg, 1961. "Risk, Ambiguity, and the Savage Axioms," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 75(4), pages 643-669.
    10. Eichberger, Jurgen & Kelsey, David, 2000. "Non-Additive Beliefs and Strategic Equilibria," Games and Economic Behavior, Elsevier, vol. 30(2), pages 183-215, February.
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    Citations

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    Cited by:

    1. Dionysius Glycopantis & Allan Muir, 2008. "Nash equilibria with Knightian uncertainty; the case of capacities," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 37(1), pages 147-159, October.
    2. 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.
    3. Thomas Jungbauer & Klaus Ritzberger, 2011. "Strategic games beyond expected utility," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 48(2), pages 377-398, October.
    4. Roman Kozhan, 2011. "Non-additive anonymous games," International Journal of Game Theory, Springer;Game Theory Society, vol. 40(2), pages 215-230, May.

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    More about this item

    Keywords

    Knightian uncertainty; Nash equilibrium; Capacities; C72; D81;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

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