Games of No Chance

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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.
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Editorial Reviews

From the Publisher
"This book must be read by every serious student of two-person full-information games, and it provides an excellent presentation for anyone seeking a proper introduction to the subject." Solomon W. Golomb, American Scientist

"Some books make mathematics look like so much fun! This collection of 35 articles and a comprehensive bibliography is a marvelous and alluring account of a 1994 MSRI two week workshop on combinatorial game theory. This could be a menace to the rest of mathematics; those folks seem to be having such a good time playing games that the rest of us might abandon 'serious' mathematics and join the party...Even the technical terms are laced with humor." Ed Sandifer, MAA Online

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Product Details

Table of Contents

The Angel Problem 3
Scenic Trails Ascending from Sea-Level Nim to Alpine Chess 13
What is a Game? 43
Impartial Games 61
Championship-Level Play of Dots-and-Boxes 79
Championship-Level Play of Domineering 85
The Gamesman's Toolkit 93
Solving Nine Men's Morris 101
Marion Tinsley: Human Perfection at Checkers? 115
Solving the Game of Checkers 119
On Numbers and Endgames: Combinatorial Game Theory in Chess Endgames 135
Multilinear Algebra and Chess Endgames 151
Using Similar Positions to Search Game Trees 193
Where Is the "Thousand-Dollar Ko"? 203
Eyespace Values in Go 227
Loopy Games and Go 259
Experiments in Computer Go Endgames 273
Sowing Games 287
New Toads and Frogs Results 299
Xdom: A Graphical, X-Based Front-End for Domineering 311
Infinitesimals and Coin-Sliding 315
Geography Played on Products of Directed Cycles 329
Pentominoes: A First Player Win 339
New Values for Top Entails 345
Take-Away Games 351
The Economist's View of Combinatorial Games 365
Games with Infinitely Many Moves and Slightly Imperfect Information 407
The Reduced Canonical Form of a Game 409
Error-Correcting Codes Derived from Combinatorial Games 417
Tutoring Strategies in Game-Tree Search 433
About David Richman 437
Richman Games 439
Stable Winning Coalitions 451
Unsolved Problems in Combinatorial Games 475
Combinatorial Games: Selected Bibliography with a Succinct Gourmet Introduction 493
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