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This title in other editions

The Compleat Strategyst: Being a Primer on the Theory of Games of Strategy

by

The Compleat Strategyst: Being a Primer on the Theory of Games of Strategy Cover

 

Synopses & Reviews

Publisher Comments:

When J. D. Williams wrote this entertaining, witty introduction for the nonscientist, Game Theory was still a somewhat mysterious subject familiar to very few scientists beyond those researchers, like himself, working for the military. Now, over thirty years after its original publication as a Rand Corporation research study, his light-hearted though thoroughly effective primer is the recognized classic introduction to an increasingly applicable discipline. Used by amateurs, professionals, and students throughout the world in the classroom, on the job, and for personal amusement, the book has been through ten printings, and has been translated into at least five languages (including Russian and Japanese).

Revised, updated, and available for the first time in an inexpensive paperback edition, The Compleat Strategyst is a highly entertaining text essential for anyone interested in this provocative and engaging area of modern mathematics. In fully illustrated chapters complete with everyday examples and word problems, Williams offers readers a working understanding of the possible methods for selecting strategies in a variety of situations, simple to complex. With just a basic understanding of arithmetic, anyone can grasp all necessary aspects of two-, three-, four-, and larger strategy games with two or more sets of inimical interests and a limitless array of zero-sum payoffs.

As research and study continues not only in this new discipline but in the related areas of statistics, probability and behavioral science, understanding of games, decision making, and the development of strategies will be increasingly important. In the areas of economics, sociology, politics, and the military, Game Theory is sure to have an even wider impact. For students and amateurs fascinated by Game Theory's implications there is no better, immediately applicable, or more entertaining introduction to the subject than this engaging text by the late J. D. Williams, Professor of Mathematics at Princeton University and a member of the Research Council of The Rand Corporation.

Synopsis:

Highly entertaining classic describes, with many illustrated examples, how to select best strategies in conflict situations. Prefaces. Appendices.

Synopsis:

Only a basic understanding of arithmetic is needed to grasp these strategy games with two or more sets of inimical interests and a limitless array of zero-sum payoffs.

Synopsis:

This entertaining text is essential for anyone interested in game theory. Only a basic understanding of arithmetic is needed to grasp the necessary aspects of strategy games for two, three, four, and more players that feature two or more sets of inimical interests and a limitless array of zero-sum payoffs.

Table of Contents

PREFACE TO THE REVISED EDITION

PREFACE TO THE FIRST EDITION

CHAPTER 1. INTRODUCTION

  Nature of the Subject

  An Historical Theory

  Lessons and Parallels

  Sectarian Remarks on Method

  Players and Persons

  The Payoff

  Strategies

  The Game Matrix

  Implicit Assumptions

  The Criterion

  Example 1. The Campers

CHAPTER 2. TWO - STRATEGY GAMES

  PART 1: 2 X 2 Games

    The Approach

    Fluctuations

    Saddle-points

    Mixed Strategies

    The Oddment

    Rules for Finding Odds

    Value of the Game

    Scale Effects

    Good Play vs. Poor

    Example 2. The Hidden Object

    Example 3. The Daiquiris

    Example 4. The River Table

    Example 5. The Attack-Defense Game

    Example 6. The Music Hall Problem

    Example 7. The Darkroom

    Example 8. The Birthday

    Example 9. The Huckster

    Example 10. The Squad Car

    Summary of 2 X 2 Methods

    Exercises 1

  PART 2: 2 X m Games

    Saddle-points

    Dominance

    Mixed Strategies

    Graphical Solutions

    Example 11. The Spellers

    Example 12. The Sports Kit

    Example 13. The Hi-Fi

    Chance Devices

    Summary of 2 X m Methods

    Exercises 2

CHAPTER 3. THREE - STRATEGY GAMES

  PART 1: 3 X 3 Games

    Morale-building Discourse

    Saddle-points

    Dominance

    Value of the Game

    Three Active Strategies

    Games We Wish You'd Never Met

    Example 14. Scissors-Paper-Stone

    Example 15. The Coal Problem

    Example 16. The Heir

    Example 17. The Cattle Breeders' Separation

    Example 18. The Date

    Summary of 3 X 3 Methods

    Exercises 3

  PART 2: 3 X m Games

    Method of Solving

    Example 19. The Bass and the Professor

    Example 20. The Bedside Manner

    Example 21. The Chessers

    Summary of 3 X m Methods

    Exercises 4

CHAPTER 4. FOUR - STRATEGY GAMES AND LARGER ONES

  Solution via Revelation

  Saddle-points

  Dominance

  All-strategies-active

  Example 22. The Secondhand Car

  Example 23. The Silviculturists

  Example 24. Color Poker

  Example 25. For Older Children

  Example 26. The Process Server

  Example 27. The Palm Game

  Example 28. The Administrator's Dilemma

  Example 29. The Colonel Blotto Problem

  Example 30. Morra

  Example 31. The Maze

  Example 32. Merlin

  Summary of 4 X m Methods

  Exercises 5

CHAPTER 5. MISCELLANY

  Approximations

  More on Dominance

  Simple Solutions

  Multiple Solutions

  Exercise 6

  On Measurement

  Qualitative Payoffs

  Example 33. Portia

  Example 34. The Lady or the Tiger

  Games Played Only Once

  Symmetric Games

  Linear Programming

  Example 35. The Diet

  Non-zero-sum Games

  Conclusion

CHAPTER 6. GENERAL METHOD OF SOLVING GAMES

  First Example

  Basic Solutions

  Second Example

  Summary of Pivot Method

  How to Check the Work

  Control Sums

APPENDIX

  Table of Random Digits

  Solutions to Exercises

INDEX

Product Details

ISBN:
9780486251011
Author:
Williams, J. D.
Publisher:
Dover Publications
Author:
Williams, J.D.
Location:
New York :
Subject:
General
Subject:
General science
Subject:
Games, magic and puzzles
Subject:
Hobbies and games
Subject:
Game Theory
Subject:
Games of strategy (mathematics)
Subject:
Games of strategy
Subject:
General Science
Subject:
Science Reference-General
Copyright:
Edition Description:
Trade Paper
Series:
Dover Books on Mathematics
Series Volume:
no. 2
Publication Date:
19860531
Binding:
TRADE PAPER
Language:
English
Illustrations:
Yes
Pages:
268
Dimensions:
8.5 x 5.38 in 0.71 lb

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Related Subjects

History and Social Science » Economics » General
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Reference » Science Reference » General
Science and Mathematics » Mathematics » General
Science and Mathematics » Mathematics » Modeling

The Compleat Strategyst: Being a Primer on the Theory of Games of Strategy Used Trade Paper
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$5.95 In Stock
Product details 268 pages Dover Publications - English 9780486251011 Reviews:
"Synopsis" by , Highly entertaining classic describes, with many illustrated examples, how to select best strategies in conflict situations. Prefaces. Appendices.

"Synopsis" by ,
Only a basic understanding of arithmetic is needed to grasp these strategy games with two or more sets of inimical interests and a limitless array of zero-sum payoffs.
"Synopsis" by ,
This entertaining text is essential for anyone interested in game theory. Only a basic understanding of arithmetic is needed to grasp the necessary aspects of strategy games for two, three, four, and more players that feature two or more sets of inimical interests and a limitless array of zero-sum payoffs.
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