Combinatorial Games: Tic-Tac-Toe Theory (BOK)

Jozsef Beck

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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-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.

Produktfakta

Språk Engelsk Engelsk Innbinding Heftet
Utgitt 2011 Forfatter Jozsef Beck
Forlag
CAMBRIDGE UNIVERSITY PRESS
ISBN 9780521184755
Antall sider 750 Dimensjoner 15,6cm x 23,4cm x 3,7cm
Vekt 1110 gram Leverandør Bertram Trading Ltd
Emner og form Game theory