Combinatorial Game Theory : : A Special Collection in Honor of Elwyn Berlekamp, John H. Conway and Richard K. Guy / / ed. by Bruce M. Landman, Richard J. Nowakowski, Florian Luca, Melvyn B. Nathanson, Jaroslav Nešetřil, Aaron Robertson.

• Superior document: Title is part of eBook package: De Gruyter DG Plus DeG Package 2022 Part 1
• MitwirkendeR: Bonato, Anthony,; Burke, Kyle,; Carvalho, Alda,; Clow, Alexander,; Demaine, Erik D.,; Diomidov, Yevhenii,; Duchêne, Eric,; Dufour, Matthieu,; Dwyer, Aaron,; Ferland, Matthew,; Finbow, Stephen,; Fisher, Michael,; Gates, Zachary,; Gledel, Valentin,; Haff, L. R.,; Heinrich, Marc,; Heubach, Silvia,; Huggan, Melissa A,; Huggan, Melissa A.,; Iannucci, Douglas E.,; Irie, Yuki,; Kelvey, Robert,; Larsson, Urban,; Martin, James B.,; Milley, Rebecca,; Miyadera, Ryohei,; Nakaya, Yushi,; Nowakowski, Richard J.,; Nowakowski, Richard,; Parreau, Aline,; Pereira dos Santos, Carlos,; Renault, Gabriel,; Santos, Carlos P.,; Santos, Carlos,; Siegel, Aaron N.,; Teng, Shang-Hua,; Tennenhouse, Craig,; Vo, Anh,; Willette, Michael,
• HerausgeberIn: Landman, Bruce M.,; Luca, Florian,; Nathanson, Melvyn B.,; Nešetřil, Jaroslav,; Nowakowski, Richard J.,; Robertson, Aaron,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2022]; ©2022
• Year of Publication: 2022
• Language: English
• Series: De Gruyter Proceedings in Mathematics
• Physical Description: 1 online resource (XIV, 416 p.)

Elwyn Berlekamp, John Conway, and Richard Guy wrote ‘Winning Ways for your Mathematical Plays’ and turned a recreational mathematics topic into a full mathematical fi eld. They combined set theory, combinatorics, codes, algorithms, and a smattering of other fi elds, leavened with a liberal dose of h...

Table of Contents

• Frontmatter
• Preface
• Contents
• The game of flipping coins
• The game of blocking pebbles
• Transverse Wave: an impartial color-propagation game inspired by social influence and Quantum Nim
• A note on numbers
• Ordinal sums, clockwise hackenbush, and domino shave
• Advances in finding ideal play on poset games
• Strings-and-Coins and Nimstring are PSPACE-complete
• Partizan subtraction games
• Circular Nim games CN(7, 4)
• Misère domineering on 2 × n boards
• Relator games on groups
• Playing Bynum’s game cautiously
• Genetically modified games
• Game values of arithmetic functions
• A base-p Sprague–Grundy-type theorem for p-calm subtraction games: Welter’s game and representations of generalized symmetric groups
• Recursive comparison tests for dicot and dead-ending games under misère play
• Impartial games with entailing moves
• Extended Sprague–Grundy theory for locally finite games, and applications to random game-trees
• Grundy numbers of impartial three-dimensional chocolate-bar games
• On the structure of misère impartial games