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Combinatorial Games

Name: Combinatorial Games
Brand: Cambridge University Press
SKU: 04365799
Price: 41468 HUF
Availability: InStock
Author: Jozsef Beck
ISBN: 9780521184755

Tic-Tac-Toe Theory

Jozsef Beck

Language

English

Book Paperback

Libristo code: 04365799

Publishers Cambridge University Press, April 2011

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

Libristo code: 04365799

277 b

41 468 Ft

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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.