Games of Strategy

by ;
Edition: 2nd
Format: Hardcover
Pub. Date: 2004-01-27
Publisher(s): W. W. Norton & Company
List Price: $120.00

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Summary

The text has been carefully updated for this Second Edition, including thorough revisions of the sections on sequential- and simultaneous-move games and those on voting and auctioning. This is an inviting introduction to game theory, offering students an engaging, comprehensive view of the discipline without assuming a prior knowledge of economics or complex mathematics (uses only high school algebra). Additionally, instructors will find a variety of useful pedagogical tools in the accompanying Instructor's Manual, including student exercises and suggested classroom games and experiments.

Table of Contents

Preface to the Second Edition xix
PART ONE Introduction and General Principles
Basic Ideas and Examples
3(14)
What is a Game of Strategy?
4(2)
Some Examples and Stories of Strategic Games
6(8)
Which Passing Shot?
6(1)
The GPA Rat Race
7(2)
``We Can't Take the Exam, Because We Had a Flat Tire''
9(1)
Why Are Professors So Mean?
10(1)
Roommates and Families on the Brink
11(2)
The Dating Game
13(1)
Our Strategy for Studying Games of Strategy
14(3)
How to Think About Strategic Games
17(28)
Decisions Versus Games
18(2)
Classifying Games
20(7)
Are the Moves in the Game Sequential or Simultaneous?
20(1)
Are the Players' Interests in Total Conflict or Is There Some Commonality?
21(1)
Is the Game Played Once or Repeatedly, and with the Same or Changing Opponents?
22(1)
Do the Players Have Full or Equal Information?
23(1)
Are the Rules of the Game Fixed or Manipulable?
24(1)
Are Agreements to Cooperate Enforceable?
25(2)
Some Terminology and Background Assumptions
27(9)
Strategies
27(1)
Payoffs
28(1)
Rationality
29(2)
Common Knowledge of Rules
31(2)
Equilibrium
33(1)
Dynamics and Evolutionary Games
34(1)
Observation and Experiment
35(1)
The Uses of Game Theory
36(2)
The Structure of the Chapters to Follow
38(7)
Summary
41(1)
Key Terms
41(1)
Exercises
42(3)
PART TWO Concepts and Techniques
Games with Sequential Moves
45(38)
Game Trees
46(4)
Nodes, Branches, and Paths of Play
46(1)
Uncertainty and ``Nature's Moves''
46(2)
Outcomes and Payoffs
48(1)
Strategies
48(1)
Tree Construction
49(1)
Solving Games by Using Trees
50(5)
Adding More Players
55(5)
Order Advantages
60(1)
Adding More Moves
61(8)
Tic-Tac-Toe
61(2)
Chess
63(6)
Evidence Concerning Rollback
69(3)
Strategies in the Survivor© Game
72(11)
Summary
77(1)
Key Terms
78(1)
Exercises
78(5)
Simultaneous-Move Games with Pure Strategies I: Discrete Strategies
83(150)
Depicting Simultaneous-Move Games with Discrete Strategies
84(2)
Nash Equilibrium
86(4)
Some Further Explanation of the Concept of Nash Equilibrium
87(2)
Nash Equilibrium As a System of Beliefs and Choices
89(1)
Dominance
90(8)
Both Players Have Dominant Strategies
92(1)
One Player Has a Dominant Strategy
93(2)
Successive Elimination of Dominated Strategies
95(3)
Best-Response Analysis
98(1)
The Minimax Method for Zero-Sum Games
99(2)
Three Players
101(4)
Multiple Equilibria in Pure Strategies
105(6)
No Equilibrium in Pure Strategies
111(122)
Summary
113(1)
Key Terms
114(1)
Exercises
114(6)
Appendix: Some General Definitions
120

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