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Combinatorial Game Theory: A Special Collection in Honor of Elwyn Berlekamp, John H. Conway and Richard K. Guy

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This volume is dedicated to the work of three leading mathematicians in combinatoric game theory, Elwyn Berlekamp, John Conway, and Richard Guy and includes 20 contributions from colleagues reflecting on their work.

Author(s): Richard J. Nowakowski, Bruce M. Landman, Florian Luca, Melvyn B. Nathanson, Jaroslav Nešetřil, Aaron Robertson
Series: De Gruyter Proceedings in Mathematics
Publisher: De Gruyter
Year: 2022

Language: English
Pages: 430
City: Berlin

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