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.
| ISBN: | 9780521184755 |
| Publication date: | 28th April 2011 |
| Author: | József Rutgers University, New Jersey Beck |
| Publisher: | Cambridge University Press |
| Format: | Paperback |
| Pagination: | 750 pages |
| Series: | Encyclopedia of Mathematics and its Applications |
| Genres: |
Game theory |
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.
Combinatorial Games features in the following genres: Game theory
Combinatorial Games is available in Paperback
Combinatorial Games was written by József Rutgers University, New Jersey Beck and published by Cambridge University Press
Combinatorial Games has 750 pages
Yes it is part of Encyclopedia of Mathematics and its Applications series