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Lloyd Shapley and chess with imperfect information

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  • Matros, Alexander

Abstract

Anyone who has ever studied game theory knows the name Lloyd Shapley. Just recall Matching, Deferred-Acceptance Algorithm, Core, Market Games, Stochastic Games, Shapley value, and Shapley vector.1 But Professor Shapley was also a great lover of chess with imperfect information. Upon our first encounter at Stony Brook in 1998, I was fortunate to investigate the chess problems he set before me. In this essay I analyze some of those problems, in commemoration of Lloyd Shapley's contributions to the study of chess and chess with imperfect information.

Suggested Citation

  • Matros, Alexander, 2018. "Lloyd Shapley and chess with imperfect information," Games and Economic Behavior, Elsevier, vol. 108(C), pages 600-613.
    • Handle: RePEc:eee:gamebe:v:108:y:2018:i:c:p:600-613
    DOI: 10.1016/j.geb.2017.12.003
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    References listed on IDEAS

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    1. Roberto Serrano, 2013. "Lloyd Shapley's Matching and Game Theory," Scandinavian Journal of Economics, Wiley Blackwell, vol. 115(3), pages 599-618, July.
    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. Ewerhart, Christian, 2000. "Chess-like Games Are Dominance Solvable in at Most Two Steps," Games and Economic Behavior, Elsevier, vol. 33(1), pages 41-47, October.
    4. Schwalbe, Ulrich & Walker, Paul, 2001. "Zermelo and the Early History of Game Theory," Games and Economic Behavior, Elsevier, vol. 34(1), pages 123-137, January.
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    More about this item

    Keywords

    Imperfect information; Chess; Kriegspiel; Stochastic games;
    All these keywords.

    JEL classification:

    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games

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