Articoli correlati a Combinatorial Games: Tic-Tac-Toe Theory: 114
Sinossi
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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Recensione
'... this book is a milestone in Game Theory, it will become a classic ...' Acta Scientiarum Mathematicarum
'... a most thorough and useful treatment of the subject (so far insufficiently presented in the literature) with an enormous store of results, links with other theories, and interesting open problems.' A. Pultr, Mathematical Reviews
'This seems to be the best and most useful treatment of the subject so far ... The book is recommended for a broad mathematical audience. Almost all concepts from other parts of mathematics are explained so it is convenient both for the specialist seeking a detailed survey of the topic and for students hoping to learn something new about the subject. The book has a potential to become a milestone in the development of combinatorial game theory.' EMS Newsletter
Descrizione del libro
In this comprehensive volume, József 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.
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
- EditoreCambridge University Press
- Data di pubblicazione2008
- ISBN 10 0521461006
- ISBN 13 9780521461009
- RilegaturaCopertina rigida
- LinguaInglese
- Numero di pagine748
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Encyclopedia of Mathematics and Its Applications: Combinatorial Games: Tic-Tac-Toe Theory (Volume 114)
Editore:
Cambridge University Press, 2008
ISBN 10: 0521461006
ISBN 13: 9780521461009
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Condizione: Good. Volume 114. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In good all round condition. No dust jacket. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,1300grams, ISBN:9780521461009. Codice articolo 3898003
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Combinatorial Games: Tic-Tac-Toe Theory (Encyclopedia of Mathematics and its Applications)
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Combinatorial Games: Tic-Tac-Toe Theory (Encyclopedia of Mathematics and its Applications, Series Number 114)
Editore:
Cambridge University Press, 2008
ISBN 10: 0521461006
ISBN 13: 9780521461009
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Hardcover. Condizione: very good. little wear and tear. Codice articolo Grumpy0521461006
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Combinatorial Games: Tic-Tac-Toe Theory (Encyclopedia of Mathematics and its Applications, Series Number 114)
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Hardcover. Condizione: new. Excellent Condition.Excels in customer satisfaction, prompt replies, and quality checks. Codice articolo Scanned0521461006
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Combinatorial Games: Tic-Tac-Toe Theory (Encyclopedia of Mathematics and its Applications, Series Number 114)
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Combinatorial Games
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Gebunden. Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. In this comprehensive volume, 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. Striki. Codice articolo 446936492
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Combinatorial Games: Tic-Tac-Toe Theory (Encyclopedia of Mathematics and its Applications, Series Number 114)
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Buch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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, 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 exact results about infinite classes of many games, leading to the discovery of some striking new duality principles. Codice articolo 9780521461009
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