Combinatorial Games - Tic-Tac-Toe Theory (Paperback)

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-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.

General

Imprint:	Cambridge UniversityPress
Country of origin:	United Kingdom
Series:	Encyclopedia of Mathematics and its Applications
Release date:	April 2011
First published:	April 2011
Authors:	Jozsef Beck
Dimensions:	234 x 156 x 37mm (L x W x T)
Format:	Paperback - Trade
Pages:	750
ISBN-13:	978-0-521-18475-5
Categories:	Books > Science & Mathematics > Mathematics > Optimization > Game theory Promotions
LSN:	0-521-18475-4
Barcode:	9780521184755

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