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The basis for this book is a number of lectures given frequently by
the author to third year students of the Department of Economics at
Leningrad State University who specialize in economical
cybernetics. The main purpose of this book is to provide the
student with a relatively simple and easy-to-understand manual
containing the basic mathematical machinery utilized in the theory
of games. Practical examples (including those from the field of
economics) serve mainly as an interpretation of the mathematical
foundations of this theory rather than as indications of their
actual or potential applicability. The present volume is
significantly different from other books on the theory of games.
The difference is both in the choice of mathematical problems as
well as in the nature of the exposition. The realm of the problems
is somewhat limited but the author has tried to achieve the
greatest possible systematization in his exposition. Whenever
possible the author has attempted to provide a game-theoretical
argument with the necessary mathematical rigor and reasonable
generality. Formal mathematical prerequisites for this book are
quite modest. Only the elementary tools of linear algebra and
mathematical analysis are used.
The basis for this book is a number of lectures given frequently by
the author to third year students of the Department of Economics at
Leningrad State University who specialize in economical
cybernetics. The main purpose of this book is to provide the
student with a relatively simple and easy-to-understand manual
containing the basic mathematical machinery utilized in the theory
of games. Practical examples (including those from the field of
economics) serve mainly as an interpretation of the mathematical
foundations of this theory rather than as indications of their
actual or potential applicability. The present volume is
significantly different from other books on the theory of games.
The difference is both in the choice of mathematical problems as
well as in the nature of the exposition. The realm of the problems
is somewhat limited but the author has tried to achieve the
greatest possible systematization in his exposition. Whenever
possible the author has attempted to provide a game-theoretical
argument with the necessary mathematical rigor and reasonable
generality. Formal mathematical prerequisites for this book are
quite modest. Only the elementary tools of linear algebra and
mathematical analysis are used.
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