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Other titles in the Dover Books on Mathematics series:
Two-Person Game Theoryby Anatol Rapoport
Synopses & Reviews
A noted expert presents clearly written discussions of essential ideas related to the highly useful mathematical approach to human behavior and decision-making. His lucid, accessible treatment examines such concepts as "utility," "strategy," and the difference between "non-zero" and "zero-sum" games. A minimum of mathematical prerequisites makes it accessible to non-mathematicians. 1970 edition.
Game theory is to games of strategy what probability theory is to games of chance. This nontechnical presentation of the essential ideas of two-person game theory demonstrates how mathematics can be applied to the study of human behavior and decision-making. Readers with a basic knowledge of algebra and simple analytic geometry can easily follow the author's explanations of such concepts as "utility, " "strategy, " "mixed strategy, " and the difference between "non zero" and "zero-sum" games. As they come t understand these and other aspects of game theory, readers will discover fascinating links between amusements like chess and tic-tac-toe and larger issues such as politics, economic struggles, and war — even the battle of the sexes.
Clear, accessible treatment of mathematical models for resolving conflicts in politics, economics, war, business, and social relationships. Topics include strategy, game tree and game matrix, and much more. Minimal math background required. 1970 edition.
A noted expert presents clearly written discussions of essential ideas related to the highly useful mathematical approach to human behavior and decision-making. His lucid, accessible treatment examines such concepts as utility, strategy, and the difference between non-zero and zero-sum games. A minimum of mathematical prerequisites makes it accessible to non-mathematicians. 1970 edition.
Includes bibliographical references (p. -221) and index.
Table of Contents
4. The Game Tree and the Game Matrix
5. Dominating Strategy and Minimax
6. Mixed Strategy
7. Solving the Two-Person Zero-sum Game
8. The Negotiated Game
9. Nonnegotiable Games
10. An Inductive Theory of Games: Dynamic Models
11. An Example: Inspector vs. Evader
12. Opportunities and Limitations
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