An Introduction to Game-Theoretic Modelling (Student Mathematical Library, Vol. 11) (Student Mathematical Library, V. 11)
Editorial Reviews
Book Description
This book is about using game theory in mathematical modelling. It is an introductory text, covering the basic ideas and methods of game theory as well as the necessary ideas from the vast spectrum of scientific study where the methods are applied.
It has by now become generally apparent that game theory is a fascinating branch of mathematics with both serious and recreational applications. Strategic behavior arises whenever the outcome of an individual's action depends on actions to be taken by other individuals--whether human, as in the Prisoners' Dilemma, or otherwise, as in the "duels of damselflies". As a result, game-theoretic mathematical models are applicable in both the social and natural sciences. In reading this book, you can learn not just about game theory, but also about how to model real situations so that they can be analyzed mathematically.
Mesterton-Gibbons includes the familiar game theory examples where they are needed for explaining the mathematics or when they provide a valuable application. There are also plenty of new examples, in particular from biology, such as competitions for territory or mates, games among kin versus games between kin, and cooperative wildlife management.
From the Publisher
Mesterton-Gibbons' book deals with mathematical modelling, not by an abstract discussion of how modelling should be done, but rather by presenting many concrete examples ... The mathematics described [in the book] is fascinating and well worth studying ... The examples are great, and the author has clearly put enormous effort into building this collection ... a perfect source of problems for a Moore method course ... a valuable contribution to the literature ... Everyone interested in game theory or mathematical modelling should take a look at it.
-- MAA Online
An Introduction to Game-Theoretic Modelling (Student Mathematical Library, Vol. 11) (Student Mathematical Library, V. 11),Mike Mesterton-Gibbons,American Mathematical Society,0821819291,Game Theory,Mathematical models,Mathematics,Science/Mathematics
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