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Games of No Chance 6.
・ISBN 978-1-009-56552-3 hard GB£ 140.00
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電子版あり 大学・学術機関向け電子ブック(eBook)ISBN 978-1-009-56548-6
| 著者・編者 | Larsson, Urban (ed.), |
|---|---|
| シリーズ | Mathematical Sciences Research Institute Publications |
| 出版社 | (Cambridge University Press, UK) |
| 出版年月 | 2025 |
| ページ数 | 524 pp. |
| 言語 | ENG |
| ニュース番号 | <M25-15024> |
解説
This collection of 22 research papers and state-of-the-art surveys extends the subseries 'Games of No Chance' pioneered in 1996. Survey topics include Richman bidding combinatorial games, classical subtraction games and absolute additive theory. Other topics discussed include extensions of normal play theory such as Absolute CGT and Affine normal play; additive theory; aspects of generic impartial games arising from the study of nim-values; dead-ending misere reduction theorems; Wythoff-type variations; complexity issues; and aspects of classical games including a rigorous justification of the celebrated result that king, bishop and knight can checkmate a lonely king on an arbitrarily large chessboard. The recurring list of open problems, updated and annotated, will interest all practitioners of CGT and related fields including algebra, computer science, combinatorics, number theory and classical game theory.