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Look Inside Games of No Chance 4

Games of No Chance 4

$98.00 (C)

Part of Mathematical Sciences Research Institute Publications

Meghan R. Allen, Laurent Beaudou, Eric Duchene, Sylvain Gravier, Tristan Cazenave, Richard J. Nowakowski, Sebastien Collette, Erik D. Demaine, Martin L. Demaine, Stefan Langerman, Alex Fink, Aaron Siegel, David Wolfe, Aviezri Fraenkel, Udi Peled, J. P. Grossman, Philip Henderson, Ryan Hayward, Urban Larsson, Julien Lemoine, Simon Viennot, Neil McKay, Angela Siegel, Teigo Nakamura, Sam Payne, Elina Robeva, Carlos Pereira Dos Santos, Jorge Nuno Silva, Mike Weimerskirch
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  • Date Published: April 2015
  • availability: Available
  • format: Hardback
  • isbn: 9781107011038

$ 98.00 (C)
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About the Authors
  • Combinatorial Games are the strategy games that people like to play. They differ from economic games in that there are two players who play alternately with no hidden cards and no dice, for example Chess, Checkers and Go. They have a non-obvious mathematical structure that allows players to analyze these games in the abstract. This volume introduces a usable abstract theory for misère (last player to move loses) games, extends the theory for some classes of normal-play (last player to move wins) games and extends the analysis for some specific games. Games of Chance Vol 4 also contains the first comprehensive explorations of misère games. It includes a tutorial for the very successful approach to analyzing misère impartial games and the first attempt at using it for misère partisan games as well as an updated version of Unsolved Problems in Combinatorial Game Theory and the Combinatorial Games Bibliography.

    • Includes a tutorial for the misère quotient approach to misère impartial games
    • Introduces a misère quotient approach for misère partizan games
    • Features new techniques used for analysing games
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    Product details

    • Date Published: April 2015
    • format: Hardback
    • isbn: 9781107011038
    • length: 350 pages
    • dimensions: 234 x 156 x 21 mm
    • weight: 0.67kg
    • contains: 70 b/w illus. 23 tables
    • availability: Available
  • Table of Contents

    1. Peeking at partizan misère quotients Meghan R. Allen
    2. A survey about solitaire clobber Laurent Beaudou, Eric Duchene and Sylvain Gravier
    3. Monte-Carlo approximation of temperature Tristan Cazenave
    4. Retrograde analysis of woodpush Tristan Cazenave and Richard J. Nowakowski
    5. Narrow misère dots-and-boxes Sebastien Collette, Erik D. Demaine, Martin L. Demaine and Stefan Langerman
    6. Toppling conjectures Alex Fink, Richard J. Nowakowski, Aaron Siegel and David Wolfe
    7. Harnessing the unwieldy MEX function Aviezri Fraenkel and Udi Peled
    8. The rat game and the mouse game Aviezri Fraenkel
    9. A ruler regularity in hexadecimal games J. P. Grossman and Richard J. Nowakowski
    10. A handicap strategy for hex Philip Henderson and Ryan Hayward
    11. Restrictions of m-wythoff nim and p-complementary Beatty sequences Urban Larsson
    12. Computer analysis of sprouts with nimbers Julien Lemoine and Simon Viennot
    13. Navigating the MAZE Neil McKay, Richard J. Nowakowski and Angela Siegel
    14. Evaluating territories of Go positions with capturing races Teigo Nakamura
    15. Artificial intelligence for bidding Hex Sam Payne and Elina Robeva
    16. Nimbers in partizan games Carlos Pereira Dos Santos and Jorge Nuno Silva
    17. Misère canonical forms of partizan games Aaron Siegel
    18. The structure and classification of misère quotients Aaron Siegel
    19. An algorithm for computing indistinguishability quotients in misére impartial combinatorial games Mike Weimerskirch
    20. Unsolved problems in combinatorial games Richard J. Nowakowski
    21. Combinatorial games: selected short bibliography with a succinct gourmet introduction Aviezri Fraenkel and Richard J. Nowakowski.

  • Editor

    Richard J. Nowakowski, Dalhousie University, Nova Scotia

    Contributors

    Meghan R. Allen, Laurent Beaudou, Eric Duchene, Sylvain Gravier, Tristan Cazenave, Richard J. Nowakowski, Sebastien Collette, Erik D. Demaine, Martin L. Demaine, Stefan Langerman, Alex Fink, Aaron Siegel, David Wolfe, Aviezri Fraenkel, Udi Peled, J. P. Grossman, Philip Henderson, Ryan Hayward, Urban Larsson, Julien Lemoine, Simon Viennot, Neil McKay, Angela Siegel, Teigo Nakamura, Sam Payne, Elina Robeva, Carlos Pereira Dos Santos, Jorge Nuno Silva, Mike Weimerskirch

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