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Game Options under Knightian Uncertainty in Discrete Time

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  • Rubbenstroth, Bodo

    (Center for Mathematical Economics, Bielefeld University)

Abstract

This paper studies two player stopping games in a discrete time multiple prior framework with a finite time horizon. Optimal stopping times as well as recursive formulas for the value processes of the games are derived. These results are used to characterize the set of no-arbitrage prices for a game option. The notion of a no-arbitrage price for a game option is based on the idea to consider the payoff for fixed stopping times as an European option.

Suggested Citation

  • Rubbenstroth, Bodo, 2019. "Game Options under Knightian Uncertainty in Discrete Time," Center for Mathematical Economics Working Papers 619, Center for Mathematical Economics, Bielefeld University.
    • Handle: RePEc:bie:wpaper:619
    as

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    File URL: https://pub.uni-bielefeld.de/download/2936061/2936062
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    References listed on IDEAS

    as
    1. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
    2. Roxana Dumitrescu & Marie-Claire Quenez & Agn`es Sulem, 2015. "Game options in an imperfect market with default," Papers 1511.09041, arXiv.org, revised Jul 2017.
    3. Epstein, Larry G. & Schneider, Martin, 2003. "Recursive multiple-priors," Journal of Economic Theory, Elsevier, vol. 113(1), pages 1-31, November.
    4. Yoshio Ohtsubo, 1986. "Optimal Stopping in Sequential Games With or Without a Constraint of Always Terminating," Mathematics of Operations Research, INFORMS, vol. 11(4), pages 591-607, November.
    5. Jan Kallsen & Christoph Kühn, 2004. "Pricing derivatives of American and game type in incomplete markets," Finance and Stochastics, Springer, vol. 8(2), pages 261-284, May.
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