Game Theory: Mathematical Models of Conflict (Paperback) (ISBN-13: 9781898563143)

Written engagingly and with agreeable humour, this book balances a light touch with a rigorous yet economical account of the theory of games and bargaining models. It provides a precise interpretation, discussion and mathematical analysis for a wide range of "game-like" problems in economics, sociology, strategic studies and war.There is first an informal introduction to game theory, which can be understood by non-mathematicians, which covers the basic ideas of extensive form, pure and mixed strategies and the minimax theorem. The general theory of non-cooperative games is then given a detailed mathematical treatment in the second chapter. Next follows a "first class" account of linear programming, theory and practice, terse, rigorous and readable, which is applied as a tool to matrix games and economics from duality theory via the equilibrium theorem, with detailed explanations of computational aspects of the simplex algorithm.The remaining chapters give an unusually comprehensive but concise treatment of cooperative games, an original account of bargaining models, with a skillfully guided tour through the Shapley and Nash solutions for bimatrix games and a carefully illustrated account of finding the best threat strategies.

Author: A. J. Jones
ISBN-10: 1898563144
ISBN-13: 9781898563143
Publisher: Woodhead Publishing
Language: English
Published: 12/01/2000
Pages: 300
Format: Paperback
Weight: 1.04lbs
Size: 9.20h x 6.30w x 0.65d

Review Citation(s):
Choice 02/01/2001 pg. 1116
Scitech Book News 12/01/2001 pg. 40