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This book deals with combinatorial games, that is, games not involving chance or hidden information. Their study is at once old and young: though some games, such as chess, have been analyzed for centuries, the first full analysis of a nontrivial combinatorial game (Nim) only appeared in 1902, and the first book that presented a general theory of the subject was John H. Conway's On Numbers and Games (1976).
This volume represents a significant addition to the literature of combinatorial games. The first part will be accessible to anyone, regardless of background: it contains introductory expositions, reports of unusual tournaments, and a lovely article by Conway on the possibly everlasting contest between an angel and a devil. Next come studies of chess and go from the point of view of combinatorial game theory; reports on computer advances such as the solution of nine-men morris and pentominoes; and new theoretical approaches, including extensions of the traditional framework to games with many players, or lacking perfect information, or involving loops. The book closes with an annotated list of unsolved problems and a comprehensive bibliography.
If you have read and enjoyed Martin Gardner, or if you like to learn and analyze new games, this book is for you.
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