The theory of games

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Tsinghua University Press, 1988 - Mathematics - 162 pages
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This book, which first appeared in Chinese, comprises an introduction to game theory. It aims to present the fundamental concepts while developing themes such as continuous games, and n-person non-co-operative and co-operative games in a rigorous fashion. The first part of the book explores the properties of matrix games, and two elementary proofs of the Minimax Theorem are given. The author then considers the theory and applications of continuous games and n-person non-co-operative games. The book culminates in a comprehensive treatment of n-person co-operative games and includes an introduction to the nucleolus concept which is of great significance in this context. Students of mathematics and related subjects will find this to be a readable first account of game theory and an invaluable introduction to key topics.

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Contents

MATRIX GAMES
1
CONTINUOUS GAMES
41
NPERSON NONCOOPERATIVE GAMES
75
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