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Other titles in the Dover Books on Mathematics series:
TwoPerson Game Theoryby Anatol Rapoport
Synopses & ReviewsPublisher Comments:A noted expert presents clearly written discussions of essential ideas related to the highly useful mathematical approach to human behavior and decisionmaking. His lucid, accessible treatment examines such concepts as "utility," "strategy," and the difference between "nonzero" and "zerosum" games. A minimum of mathematical prerequisites makes it accessible to nonmathematicians. 1970 edition. Synopsis:Game theory is to games of strategy what probability theory is to games of chance. This nontechnical presentation of the essential ideas of twoperson game theory demonstrates how mathematics can be applied to the study of human behavior and decisionmaking. 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 "zerosum" games. As they come t understand these and other aspects of game theory, readers will discover fascinating links between amusements like chess and tictactoe and larger issues such as politics, economic struggles, and war — even the battle of the sexes.
Synopsis: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. Synopsis:A noted expert presents clearly written discussions of essential ideas related to the highly useful mathematical approach to human behavior and decisionmaking. His lucid, accessible treatment examines such concepts as utility, strategy, and the difference between nonzero and zerosum games. A minimum of mathematical prerequisites makes it accessible to nonmathematicians. 1970 edition.
Description:Includes bibliographical references (p. [220]221) and index.
Table of Contents1. Games
2. Utilities 3. Strategy 4. The Game Tree and the Game Matrix 5. Dominating Strategy and Minimax 6. Mixed Strategy 7. Solving the TwoPerson Zerosum 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 Notes References Index What Our Readers Are SayingBe the first to add a comment for a chance to win!Product Details
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