Games of No Chance

Games of No Chance

by Richard J. Nowakowski
     
 

ISBN-10: 0521574110

ISBN-13: 9780521574112

Pub. Date: 02/06/1997

Publisher: Cambridge University Press

Combinatorial games are finite, two-person, full-information games such as chess, checkers, go, domineering, dots-and-boxes, nim, and many others. This volume, arising from a workshop held at MSRI in July 1994, represents a significant addition to the literature of combinatorial games.  See more details below

Overview

Combinatorial games are finite, two-person, full-information games such as chess, checkers, go, domineering, dots-and-boxes, nim, and many others. This volume, arising from a workshop held at MSRI in July 1994, represents a significant addition to the literature of combinatorial games.

Product Details

ISBN-13:
9780521574112
Publisher:
Cambridge University Press
Publication date:
02/06/1997
Series:
Mathematical Sciences Research Institute Publications Series, #29
Pages:
552
Product dimensions:
5.98(w) x 8.98(h) x 1.18(d)

Table of Contents

The Angel Problem3
Scenic Trails Ascending from Sea-Level Nim to Alpine Chess13
What is a Game?43
Impartial Games61
Championship-Level Play of Dots-and-Boxes79
Championship-Level Play of Domineering85
The Gamesman's Toolkit93
Solving Nine Men's Morris101
Marion Tinsley: Human Perfection at Checkers?115
Solving the Game of Checkers119
On Numbers and Endgames: Combinatorial Game Theory in Chess Endgames135
Multilinear Algebra and Chess Endgames151
Using Similar Positions to Search Game Trees193
Where Is the "Thousand-Dollar Ko"?203
Eyespace Values in Go227
Loopy Games and Go259
Experiments in Computer Go Endgames273
Sowing Games287
New Toads and Frogs Results299
Xdom: A Graphical, X-Based Front-End for Domineering311
Infinitesimals and Coin-Sliding315
Geography Played on Products of Directed Cycles329
Pentominoes: A First Player Win339
New Values for Top Entails345
Take-Away Games351
The Economist's View of Combinatorial Games365
Games with Infinitely Many Moves and Slightly Imperfect Information407
The Reduced Canonical Form of a Game409
Error-Correcting Codes Derived from Combinatorial Games417
Tutoring Strategies in Game-Tree Search433
About David Richman437
Richman Games439
Stable Winning Coalitions451
Unsolved Problems in Combinatorial Games475
Combinatorial Games: Selected Bibliography with a Succinct Gourmet Introduction493

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