An Introduction to Game-Theoretic Modelling (Student Mathematical Library, V. 11)

Mesterton-Gibbons, Mike

ISBN 10: 0821819291 / ISBN 13: 9780821819296

Verlag: Amer Mathematical Society, 2000

Beschreibung

Pages and cover are intact. The spine and cover show minimal signs of wear. May have limited notes or highlighting/underlining.

Bestandsnummer des Verkäufers BR30-G-0821819291-203

Bibliografische Details

• Titel: An Introduction to Game-Theoretic Modelling (Student Mathematical Library, V. 11)
• Verlag: Amer Mathematical Society
• Erscheinungsjahr: 2000
• Sprache: Englisch
• ISBN-10: 0821819291
• ISBN-13: 9780821819296
• Einband: Softcover
• Auflage: 2. Auflage
• Zustand: Wie neu

Über diesen Titel

Inhaltsangabe

This is an introduction to game theory and applications with an emphasis on self-discovery from the perspective of a mathematical modeller. The book deals in a unified manner with the central concepts of both classical and evolutionary game theory. The key ideas are illustrated throughout by a wide variety of well-chosen examples of both human and non-human behavior, including car-pooling, price fixing, food sharing, sex allocation and competition for territories or oviposition sites. There are numerous exercises with solutions.

Reseña del editor

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.