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Games of No Chance 5

Games of No Chance 5

$140.00 (C)

Part of Mathematical Sciences Research Institute Publications

  • Editor: Urban Larsson, Technion - Israel Institute of Technology, Haifa
Urban Larsson, Elwyn Berlekamp, Eric Duchêne, Aviezri Fraenkel, Vladimir Gurvich, Nhan Ho, Clark Kimberling, Richard Nowakowski, Carlos Pereira dos Santos, Rebecca Milley, Gabriel Renault, Aaron Siegel, David Singmaster, J. I. Brown, D. Cox, A. Hoefel, Neil McKay, Angela A. Siegel, Kyle Burke, Olivia George, Alda Carvalho, Sara Faridi, Svenja Huntemann, Mike Fisher, Eric Friedman, Scott M. Garrabrant, Ilona Phipps-Morgan, Adam S. Landsberg, J. P. Grossman, Ryan Hayward, Melissa Huggan, Mike Weimerskirch, Johan Wastlund, Sucharit Sarkar, Fraser Stewart
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  • Date Published: June 2019
  • availability: In stock
  • format: Hardback
  • isbn: 9781108485807

$ 140.00 (C)
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About the Authors
  • This book surveys the state-of-the-art in the theory of combinatorial games, that is games not involving chance or hidden information. Enthusiasts will find a wide variety of exciting topics, from a trailblazing presentation of scoring to solutions of three piece ending positions of bidding chess. Theories and techniques in many subfields are covered, such as universality, Wythoff Nim variations, misère play, partizan bidding (a.k.a. Richman games), loopy games, and the algebra of placement games. Also included are an updated list of unsolved problems, extremely efficient algorithms for taking and breaking games, a historical exposition of binary numbers and games by David Singmaster, chromatic Nim variations, renormalization for combinatorial games, and a survey of temperature theory by Elwyn Berlekamp, one of the founders of the field. The volume was initiated at the Combinatorial Game Theory Workshop, January 2011, held at the Banff International Research Station.

    • Features a survey by Elwyn Berlekamp on temperature theory
    • Presents seminal research on the notion of universality of a ruleset of combinatorial games
    • Includes the first comprehensive survey of games and sequences related to Wythoff Nim and complementary Beatty sequences
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    Product details

    • Date Published: June 2019
    • format: Hardback
    • isbn: 9781108485807
    • length: 498 pages
    • dimensions: 241 x 160 x 30 mm
    • weight: 0.85kg
    • availability: In stock
  • Table of Contents

    1. About this book Urban Larsson
    2. Temperatures of games and coupons Elwyn Berlekamp
    3. Wythoff visions Eric Duchêne, Aviezri Fraenkel, Vladimir Gurvich, Nhan Ho, Clark Kimberling and Urban Larsson
    4. Scoring games: the state of play Urban Larsson, Richard Nowakowski and Carlos Pereira dos Santos
    5. Restricted developments in partizan misère game theory Rebecca Milley and Gabriel Renault
    6. Unsolved problems in combinatorial games Richard Nowakowski
    7. Misère games and misère quotients Aaron Siegel
    8. An historical tour of binary and tours David Singmaster
    9. A note on polynomial profiles of placement games J. I. Brown, D. Cox, A. Hoefel, Neil McKay, Rebecca Milley, Richard Nowakowski and Angela A. Siegel
    10. A PSPACE-complete Graph Nim Kyle Burke and Olivia George
    11. A nontrivial surjective map onto the short Conway group Alda Carvalho and Carlos Pereira dos Santos
    12. Games and complexes I: transformation via ideals Sara Faridi, Svenja Huntemann and Richard Nowakowski
    13. Games and complexes II: weight games and Kruskal-Katona type bounds Sara Faridi, Svenja Huntemann and Richard Nowakowski
    14. Chromatic Nim finds a game for your solution Mike Fisher and Urban Larsson
    15. Take-away games on Beatty's theorem and the notion of k-invariance Aviezri Fraenkel and Urban Larsson
    16. Geometric analysis of a generalized Wythoff game Eric Friedman, Scott M. Garrabrant, Ilona Phipps-Morgan, Adam S. Landsberg and Urban Larsson
    17. Searching for periodicity in officers J. P. Grossman
    18. Good pass moves in no-draw HyperHex: two proverbs Ryan Hayward
    19. Conjoined games: Go-Cut and Sno-Go Melissa Huggan and Richard Nowakowski
    20. Impartial games whose rulesets produce continued fractions Urban Larsson and Mike Weimerskirch
    21. Endgames in bidding chess Urban Larsson and Johan Wastlund
    22. Phutball draws Sucharit Sarkar
    23. Scoring play combinatorial games Fraser Stewart
    24. Generalized misère play Mike Weimerskirch.

  • Editor

    Urban Larsson, Technion - Israel Institute of Technology, Haifa
    Urban Larsson is a postdoctoral fellow at the Industrial Engineering and Management department at Technion – Israel Institute of Technology, Haifa. Prior to this he was a Killam postdoctoral fellow at Dalhousie University, Canada 2014-2016, and before that he was a Lecturer 2013–2014 and a Ph.D. student (ending 2013) at Chalmers tekniska högskola and Göteborgs universitet, Sweden. His main research areas are game theory, number theory, computer science and algorithms.

    Contributors

    Urban Larsson, Elwyn Berlekamp, Eric Duchêne, Aviezri Fraenkel, Vladimir Gurvich, Nhan Ho, Clark Kimberling, Richard Nowakowski, Carlos Pereira dos Santos, Rebecca Milley, Gabriel Renault, Aaron Siegel, David Singmaster, J. I. Brown, D. Cox, A. Hoefel, Neil McKay, Angela A. Siegel, Kyle Burke, Olivia George, Alda Carvalho, Sara Faridi, Svenja Huntemann, Mike Fisher, Eric Friedman, Scott M. Garrabrant, Ilona Phipps-Morgan, Adam S. Landsberg, J. P. Grossman, Ryan Hayward, Melissa Huggan, Mike Weimerskirch, Johan Wastlund, Sucharit Sarkar, Fraser Stewart

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