An Introduction to Game-Theoretic Modelling

Michael Mesterton-Gibbons

368 pages, parution le 01/04/2001 (2^eme édition)

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Résumé

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.

Prerequisites are modest. Students should have some mathematical maturity and a familiarity with basic calculus, matrix algebra, probability, and some differential equations. As Mesterton-Gibbons writes, "The recurring theme is that game theory is fun to learn, doesn't require a large amount of mathematical rigor, and has great potential for application."

This new edition contains a significant amount of updates and new material, particularly on biological games. An important chapter on population games now has virtually all new material. The book is absolutely up-to-date with numerous references to the literature. Each chapter ends with a commentary which surveys current developments.

Contents

Noncooperative games
Evolutionary stability and other selection criteria
Cooperative games in strategic form
Characteristic function games
Cooperation and the prisoner's dilemma
More population games
Appraisal
The tracing procedure
Solutions to selected exercises
Bibliography
Index

L'auteur - Michael Mesterton-Gibbons

Michael Mesterton-Gibbons, Florida State University, Tallahassee, FL

Caractéristiques techniques

	PAPIER
Éditeur(s)	American Mathematical Society (AMS)
Auteur(s)	Michael Mesterton-Gibbons
Parution	01/04/2001
Édition	2^eme édition
Nb. de pages	368
Format	14 x 21,5
Couverture	Broché
Poids	457g
Intérieur	Noir et Blanc
EAN13	9780821819296