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.
General
| Imprint: |
Cambridge UniversityPress
|
| Country of origin: |
United Kingdom |
| Series: |
Encyclopedia of Mathematics and its Applications |
| Release date: |
April 2011 |
| First published: |
April 2011 |
| Authors: |
Jozsef Beck
|
| Dimensions: |
234 x 156 x 37mm (L x W x T) |
| Format: |
Paperback - Trade
|
| Pages: |
750 |
| ISBN-13: |
978-0-521-18475-5 |
| Categories: |
Books >
Science & Mathematics >
Mathematics >
Optimization >
Game theory
|
| LSN: |
0-521-18475-4 |
| Barcode: |
9780521184755 |
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