Game theory is an intellectual X-ray. It reveals the skeletal structure of those systems where decisions interact and it reveals therefore the essential structure of both conflict and cooperation. &; Kenneth BouldingThis fascinating and provocative book presents the fundamentals of two-person game theory a mathematical approach to understanding human behavior and decision-making Developed from analysis of games of strategy such as chess checkers and Go game theory has dramatic applications to the entire realm of human events from politics economics and war to environmental issues business social relationships and even the game of love. Typically game theory deals with decisions in conflict situations.Written by a noted expert in the field this clear non-technical volume introduces the theory of games in a way which brings the essentials into focus and keeps them there. In addition to lucid discussions of such standard topics as utilities strategy the game tree and the game matrix dominating strategy and minimax negotiated and nonnegotiable games and solving the two-person zero-sum game the author includes a discussion of gaming theory an important link between abstract game theory and an experimentally oriented behavioral science. Specific applications to social science have not been stressed but the methodological relations between game theory decision theory and social science are emphasized throughout.Although game theory employs a mathematical approach to conflict resolution the present volume avoids all but the minimum of mathematical notation. Moreover the reader will find only the mathematics of high school algebra and of very elementary analytic geometry except for an occasional derivative. The result is an accessible easy-to-follow treatment that will be welcomed by mathematicians and non-mathematicians alike.
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