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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"
This essay contains material which will hopefully be of interest
not only to philosophers, but also to those social scientists whose
research concerns the analysis of communication, verbal or
non-verbal. Although most of the topics taken up here are central
to issues in the philosophy of language, they are, in my opinion,
indistinguishable from topics in descriptive social psychology. The
essay aims to provide a conceptual framework within which various
key aspects of communication can be described, and it presents a
formal language, using techniques from modern modal logic, in which
such descriptions can themselves be formulated. It is my hope that
this framework, or parts of it, might also turn out to be of value
in future empirical work. There are, therefore, essentially two
sides to this essay: the development of a framework of concepts,
and the construction of a formal language rich enough to express
the elements of which that framework is composed. The first of
these two takes its point of departure in the statement quoted from
Lewis (1972) on the page preceding this introduction. The
distinction drawn there by Lewis is accepted as a working
hypothesis, and in one sense this essay may be seen as an attempt
to explore some of the consequences of that hypothesis.
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