Games of No Chance 6
eBook - PDF

Games of No Chance 6

  1. 526 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Games of No Chance 6

About this book

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 misère 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.

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Information

Publisher
Cambridge University Press
Year
2025
Topic
Mathematics
eBook ISBN
9781009565479
Subtopic
Discrete Mathematics
Index
Mathematics

Table of contents

  1. Cover
  2. Blurb
  3. Half-title
  4. Series information
  5. Title page
  6. Imprints page
  7. Contents
  8. Preface
  9. Combinatorial game theory monoids and their absolute restrictions: a survey
  10. A brief conversation about subtraction games
  11. Survey on Richman bidding combinatorial games
  12. Unsolved problems in combinatorial games
  13. Absolute combinatorial game theory
  14. Affine normal play
  15. On the general dead-ending universe of partizan games
  16. Infinitely many absolute universes
  17. Reversibility, canonical form, and invertibility in dead-ending misère play
  18. Dead-ending day-2 games under misère play
  19. All passable games are realizable as monotone set coloring games
  20. Values of generic impartial combinatorial games
  21. A family of Nim-like arrays: stabilization
  22. Memgames
  23. The bishop and knight checkmate on a large chessboard
  24. An update on the coin-moving game on the square grid
  25. P play in CANDY NIM
  26. Keeping your distance is hard
  27. Improving upper and lower bounds of the number of games born by day 4
  28. Lexicographic Wythoff
  29. Corner the empress
  30. m-modular Wythoff

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Yes, you can access Games of No Chance 6 by Urban Larsson in PDF and/or ePUB format, as well as other popular books in Mathematics & Discrete Mathematics. We have over 1.5 million books available in our catalogue for you to explore.