Backward Induction and the Game-Theoretic Analysis of Chess
AbstractThe paper scrutinizes various stylized facts related to the minmax theorem for chess. We first point out that, in contrast to the prevalent understanding, chess is actually an infinite game, so that backward induction does not apply in the strict sense. Second, we recall the original argument for the minmax theorem of chess - which is forward rather than backward looking. Then it is shown that, alternatively, the minmax theorem for the infinite version of chess can be reduced to the minmax theorem of the usually employed finite version. The paper concludes with a comment on Zermelo's (1913) non-repetition theorem.
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Bibliographic InfoArticle provided by Elsevier in its journal Games and Economic Behavior.
Volume (Year): 39 (2002)
Issue (Month): 2 (May)
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Web page: http://www.elsevier.com/locate/inca/622836
Other versions of this item:
- Ewerhart II, Christian, 2001. "Backward Induction and the Game-Theoretic Analysis of Chess," Sonderforschungsbereich 504 Publications 01-28, Sonderforschungsbereich 504, Universität Mannheim & Sonderforschungsbereich 504, University of Mannheim.
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- 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.
- Mycielski, Jan, 1992. "Games with perfect information," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 1, chapter 3, pages 41-70 Elsevier.
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