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Games of No Chance 6
出版済み 3-5週間でお届けいたします。
Title: Games of No Chance 6 Series: Mathematical Sciences Research Institute Publications Author: Larsson, Urban (Indian Institute of Technology, Bombay)(Editor) Publisher: Cambridge University Press ISBN: 9781009565523 Cover: HARDCOVER Date: 2025年06月 DESCRIPTION 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. Presents original research from top minds in the field via 18 groundbreaking research papers Highlights novel abstract games inspired by chess, checkers and Go that rarely appear elsewhere in the scientific literature Extends and generalizes techniques to analyze many classes of games TABLE OF CONTENTS 1. Combinatorial game theory monoids and their absolute restrictions: a survey Alfie M. Davies, Urban Larsson, Rebecca Milley, Richard J. Nowakowski, Carlos P. Santos, Aaron N. Siegel 2. A brief conversation about subtraction games Urban Larsson, Indrajit Saha, Koki Suetsugu 3. Survey on Richman bidding combinatorial games Prem Kant, Urban Larsson 4. Unsolved problems in combinatorial games Richard J. Nowakowski 5. Absolute combinatorial game theory Urban Larsson, Richard J. Nowakowski, Carlos P. Santos 6. Affine normal play Urban Larsson, Richard J. Nowakowski, Carlos P. Santos 7. On the general dead-ending universe of partizan games Aaron N. Siegel 8. Infinitely many absolute universes Urban Larsson, Richard J. Nowakowski, Carlos P. Santos 9. Reversibility, canonical form, and invertibility in dead-ending misere play Urban Larsson, Rebecca Milley, Richard J. Nowakowski, Gabriel Renault, Carlos P. Santos 10. Dead-ending day-2 games under misere play Aaron Dwyer, Rebecca Milley, Michael Willette 11. All passable games are realizable as monotone set coloring games Eric Demer, Peter Selinger, Kyle Wang 12. Values of generic impartial combinatorial games Eric Friedman 13. A family of Nim-like arrays: stabilization Lowell Abrams, Dena S. Cowen-Morton 14. Memgames Urban Larsson, Simon Rubinstein-Salzedo, Aaron N. Siegel 15. The bishop and knight checkmate on a large chessboard Johan Wastlund 16. An update on the coin-moving game on the square grid Florian Galliot, Sylvain Gravier, Isabelle Sivignon 17. P play in Candy Nim Nitya Mani, Rajiv Nelakanti, Simon Rubinstein-Salzedo, Alexa Tholen 18. Keeping your distance is hard Kyle Burke, Silvia Heubach, Melissa A. Huggan, Svenja Huntemann 19. Improving upper and lower bounds of the number of games born by day 4 Koki Suetsugu 20. Lexicographic Wythoff David Klein, Aviezri S. Fraenkel 21. Corner the empress Robbert Fokkink, Gerard Francis Ortega, Dan Rust 22. m-modular Wythoff Tanya Khovanova, Nelson Niu
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