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Combinatorial Games

Name: Combinatorial Games
Brand: Cambridge University Press
SKU: 02031748
Price: 90146 HUF
Availability: InStock
Author: József Beck
ISBN: 9780521461009

Tic-Tac-Toe Theory

József Beck

Language

English

Book Hardback

Libristo code: 02031748

Publishers Cambridge University Press, March 2008

Traditional game theory has been successful at developing strategy in games of incomplete informatio... Full description

Libristo code: 02031748

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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, József 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.