Contents

Chapters in this book

1. Frontmatter I
2. Preface V
3. Contents XIII
4. The game of flipping coins 1
5. The game of blocking pebbles 17
6. Transverse Wave: an impartial color-propagation game inspired by social influence and Quantum Nim 39
7. A note on numbers 67
8. Ordinal sums, clockwise hackenbush, and domino shave 77
9. Advances in finding ideal play on poset games 99
10. Strings-and-Coins and Nimstring are PSPACE-complete 109
11. Partizan subtraction games 121
12. Circular Nim games CN(7, 4) 139
13. Misère domineering on 2 × n boards 157
14. Relator games on groups 171
15. Playing Bynum’s game cautiously 201
16. Genetically modified games 229
17. Game values of arithmetic functions 245
18. A base-p Sprague–Grundy-type theorem for p-calm subtraction games: Welter’s game and representations of generalized symmetric groups 281
19. Recursive comparison tests for dicot and dead-ending games under misère play 309
20. Impartial games with entailing moves 323
21. Extended Sprague–Grundy theory for locally finite games, and applications to random game-trees 343
22. Grundy numbers of impartial three-dimensional chocolate-bar games 367
23. On the structure of misère impartial games 389