Combinatorial Games: Tic-Tac-Toe Theory (Encyclopedia of Mathematics and its Applications) | 
| Author: Jozsef Beck
Publisher: Cambridge University Press
Category: Book
List Price: $170.00
Buy New: $139.99
You Save: $30.01 (18%)
New (13) Used (2) from $139.99
Sales Rank: 1036814
Media: Hardcover
Number Of Items: 1
Pages: 746
Shipping Weight (lbs): 2.7
Dimensions (in): 9.3 x 6.1 x 1.7
ISBN: 0521461006
Dewey Decimal Number: 519
EAN: 9780521461009
ASIN: 0521461006
Publication Date: April 21, 2008
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Product 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. This is the subject of combinatorial game theory. Most board games are a challenge for mathematics: to analyze a position one has to examine the available options, and then the further options available after selecting any option, and so on. This leads to 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 exact results about infinite classes of many games, leading to the discovery of some striking new duality principles.
Book Description
Jozsef Beck shows readers how to escape from the combinatorial chaos arising in the analysis of many games by using the fake probabilistic method, a game-theoretic adaptation of the probabilistic method in combinatorics. Striking results are obtained and new duality principles discovered.
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