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Combinatorial Games: Tic-Tac-Toe Theory


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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, Jozsef Beck shows readers how to escape from the combinatorial chaos via the fake probabilistic method, a game ...

Combinatorial Games: Tic-Tac-Toe Theory 2011, Cambridge University Press, Cambridge

ISBN-13: 9780521184755

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Combinatorial Games: Tic-Tac-Toe Theory 2008, Cambridge University Press, Cambridge

ISBN-13: 9780521461009