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This book represents the earliest elear, detailed, precise exposition of the central ideas and results of game theory and related decision-making models-unencum-bered by technical mathematical details. It offers a comprehensive, time-tested conceptual introduction, with a social science orientation, to a complex of ideas related to game theory including decision theory, modern utility theory, the theory of statistical decisions, and the theory of social welfare functions.

The first three chapters provide a general introduction to the theory of games including utility theory. Chapter 4 treats two-person, zero-surn games. Chapters 5 and 6 treat two-person, nonzero-sum games and concepts developed in an attempt to meet some of the deficiencies in the yon Neumann-Morgenstern theory.Chapters 7-12 treat n-person games beginning with the yon Neumann-Morgenstern theory and reaching into many newer developments. The last two chapters, 13 and 14, discuss individual and group decision making. Eight helpful appendixes present proofs of the famous minimax theorem, several geometric interpretations of two-person zero-sum games, solution procedures, infinite games, sequential eom-pounding of games, and linear programming.

Thought-provoking and clearly expressed, Games and Decisions: Introduction and Critical Surveut is designed for the non-mathematician and requires no advanced mathematical training. It will be welcomed by economists concerned with economic theory, political scientists and sociologists dealing with confliet of interest, experimental psychologists studying decision making, management scien-tists, philosophers, statisticians and a wide range of other decision-makers. It will likewise be indispensable for students in courses in the mathematical theory of games and linear programming.

CHAPTER

1 General Introduction to the Theory of Games

2 Utility Theory

3 Ewo-Person Zero-Sum Games

4 Two-Person Zero-Sum Games

5 Two-Person Non-Zero-Sum Non-Cooperative Games

6 Two-Person Cooperative Games

7 Theories of n-Person Games in Normal Form

8 Characteristic Functions

9 Solutions

10 Stability

11 Reasonable Outcomes and Value

12 Applications of n-Person Theory

13 Indvidual Decision Making under Uncertainty

14 Group Decision Making

APPENDICES

1 A Probabilistic Theorem

2 The Minimax Theorem

3 First Geometrical Interpretation of a Two-Person Zero-Sum Game

4 Second Geometrical InterPretation of Two-Person Zero-sum Game

5 Linear Programing and Two-person Zwo-Sum Games

6 Solving Two-Person Zero-Sum Games

7 Games with Infinite Pure Stratgy Sets

8 Sequential Compounding of Two-Person Games

Bibliography

Index

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书籍介绍

Superb nontechnical introduction to game theory and related disciplines, primarily as applied to the social sciences. Clear, comprehensive coverage of utility theory, 2-person zero-sum games, 2-person non-zero-sum games, n-person games, individual and group decision-making, much more. Appendixes. Bibliography. Graphs and figures.