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Game Theory - Mathematical Models of Conflict (Paperback, New edition)
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Game Theory - Mathematical Models of Conflict (Paperback, New edition)
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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.
Balances a light touch with a rigorous yet economical account of
the theory of games and bargaining modelsShows basic ideas of
extensive form, pure and mixed strategies, the minimax theorem,
non-cooperative and co-operative games, and a first class account
of linear programming, theory and practiceBased on a series of
lectures given by the author in the theory of games at Royal
Holloway College"
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