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Chess-like games are dominancesolvable in at most two steps

Author

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  • Ewerhart, Christian

    (Deutsche Börse AG)

Abstract

We show that strictly competitive, finite games of perfect information that may end in one of three possible ways can be solved by applying only two rounds of elimination of dominated strategies.

Suggested Citation

  • Ewerhart, Christian, 2000. "Chess-like games are dominancesolvable in at most two steps," Sonderforschungsbereich 504 Publications 00-24, Sonderforschungsbereich 504, Universität Mannheim;Sonderforschungsbereich 504, University of Mannheim.
    • Handle: RePEc:xrs:sfbmaa:00-24
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    Cited by:

    1. Eli Ben-Sasson & Adam Tauman Kalai & Ehud Kalai, 2006. "An Approach to Bounded Rationality," Discussion Papers 1439, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    2. Ewerhart, Christian, 2002. "Backward Induction and the Game-Theoretic Analysis of Chess," Games and Economic Behavior, Elsevier, vol. 39(2), pages 206-214, May.
    3. Dufwenberg, Martin & Sundaram, Ramya & Butler, David J., 2010. "Epiphany in the Game of 21," Journal of Economic Behavior & Organization, Elsevier, vol. 75(2), pages 132-143, August.
    4. Ewerhart, Christian, 2002. "Iterated Weak Dominance in Strictly Competitive Games of Perfect Information," Journal of Economic Theory, Elsevier, vol. 107(2), pages 474-482, December.
    5. Bo Chen & Rajat Deb, 2018. "The role of aggregate information in a binary threshold game," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 51(3), pages 381-414, October.
    6. Osterdal, Lars Peter, 2005. "Iterated weak dominance and subgame dominance," Journal of Mathematical Economics, Elsevier, vol. 41(6), pages 637-645, September.
    7. V. P. Crawford, 2014. "Boundedly rational versus optimization-based models of strategic thinking and learning in games," Voprosy Ekonomiki, NP Voprosy Ekonomiki, issue 5.
    8. Matros, Alexander, 2018. "Lloyd Shapley and chess with imperfect information," Games and Economic Behavior, Elsevier, vol. 108(C), pages 600-613.
    9. Subhasish Dugar & Haimanti Bhattacharya, 2008. "The Power of Reasoning: Experimental Evidence," Working Paper Series, Department of Economics, University of Utah 2008_20, University of Utah, Department of Economics.

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