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 humor and wit. Their legacy is a lively fi eld of study that still produces many surprises. Despite being experts in other areas of mathematics, in the 50 years since its publication, they also mentored, talked, and played games, giving their time, expertise, and guidance to several generations of mathematicians. This volume is dedicated to Elwyn Berlekamp, John Conway, and Richard Guy. It includes 20 contributions from colleagues that refl ect on their work in combinatorial game theory.

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