by
Antonia J Jones
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.
The first chapter is 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 skilfully guided tour through the Shapley and Nash solutions for bimatrix games and a carefully illustrated account of finding the best threat strategies.
Contents:
Chapter 1: The Name of the Game
Chapter 2: Non-cooperative Games
Chapter 3: Linear Programming and Matrix Games
Chapter 4: Cooperative Games
Chapter 5: Bargaining Models
Readership: Teachers and students of mathematics, economics, sociology, operations research, psychology and defence and strategic studies.
ISBN 1-898563-14-4
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