Kniha Combinatorial Games József Beck

Combinatorial Games

Tic-Tac-Toe Theory

Autor: József Beck
Jazyk: Angličtina
Vazba: Pevná
Dostupnost: Skladem u dodavatele
Odesíláme za 9-15 dnů
5 161
Traditional game theory has been successful at developing strategy in games of incomplete informatio...

Informace o knize

Autor
Jazyk
Angličtina
Vazba
Kniha - Pevná
Vydáno
2008
Stránek
748
EAN
9780521461009
ISBN
0521461006
Enbook ID
02031748
Hmotnost
1222
Rozměry
158 x 241 x 49

Kompletní popis

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.

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