Traditional game theory has been successful at developing strategy in games of incomplete information: when one player knows something that the other does not. But it has little to say about games of complete information, for example, tic-tac-toe, solitaire and hex. The main challenge of combinatorial game theory is to handle combinatorial chaos, where brute force study is impractical. In this comprehensive volume, J�zsef Beck shows readers how to escape from the combinatorial chaos via the fake probabilistic method, a ...
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Traditional game theory has been successful at developing strategy in games of incomplete information: when one player knows something that the other does not. But it has little to say about games of complete information, for example, tic-tac-toe, solitaire and hex. The main challenge of combinatorial game theory is to handle combinatorial chaos, where brute force study is impractical. In this comprehensive volume, J�zsef Beck shows readers how to escape from the combinatorial chaos via the fake probabilistic method, a game-theoretic adaptation of the probabilistic method in combinatorics. Using this, the author is able to determine the exact results about infinite classes of many games, leading to the discovery of some striking new duality principles. Available for the first time in paperback, it includes a new appendix to address the results that have appeared since the book's original publication.
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Add this copy of Combinatorial Games: Tic-Tac-Toe Theory to cart. $79.97, good condition, Sold by ThriftBooks-Baltimore rated 4.0 out of 5 stars, ships from Halethorpe, MD, UNITED STATES, published 2008 by Cambridge University Press.
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New. Contains: Line drawings, Unspecified. Encyclopedia of Mathematics and its Applications . 170 b/w illus. 40 exercises. Intended for professional and scholarly audience.
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New. 748 p. Encyclopedia of Mathematics and its Applications . Worked examples or Exercises; 170 Line drawings, unspecified. Intended for professional and scholarly audience.
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New. Contains: Line drawings, Unspecified. Encyclopedia of Mathematics and its Applications . 170 b/w illus. 40 exercises. Intended for professional and scholarly audience.
