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Combinatorial Games

Combinatorial Games Mathematics

Combinatorial Games

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Description
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.
Product details
Binding:
Paperback
Edition:
1
Number of Pages:
748
Release Date:
2011-04-28
Publication Date:
2011-04-28
Publisher:
Cambridge University Press
Languages:
Original: English
ISBN10:
0521184754
ISBN13:
9780521184755
GPSR Manufacturer Reference:
Weight:
1115 g
Height:
156 cm
Width:
234 cm
Thickness:
40 cm
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