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An Introductory Course on Mathematical Game Theory (Paperback)
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An Introductory Course on Mathematical Game Theory (Paperback)
Series: Graduate Studies in Mathematics
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Game theory provides a mathematical setting for analyzing
competition and cooperation in interactive situations. The theory
has been famously applied in economics, but is relevant in many
other sciences, such as political science, biology, and, more
recently, computer science. This book presents an introductory and
up-to-date course on game theory addressed to mathematicians and
economists, and to other scientists having a basic mathematical
background. The book is self-contained, providing a formal
description of the classic game-theoretic concepts together with
rigorous proofs of the main results in the field. The theory is
illustrated through abundant examples, applications, and exercises.
The style is distinctively concise, while offering motivations and
interpretations of the theory to make the book accessible to a wide
readership. The basic concepts and results of game theory are given
a formal treatment, and the mathematical tools necessary to develop
them are carefully presented. Cooperative games are explained in
detail, with bargaining and TU-games being treated as part of a
general framework. The authors stress the relation between game
theory and operations research. The book is suitable for a graduate
or an advanced undergraduate course on game theory. This book is
published in cooperation with Real Sociedad Matematica Espanola.
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