An Introduction to Game-Theoretic Modelling

Mike Mesterton-Gibbons

ISBN 10: 1470450291 / ISBN 13: 9781470450298

Editore: American Mathematical Society, US, 2019

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This book introduces game theory and its applications from an applied mathematician's perspective, systematically developing tools and concepts for game-theoretic modelling in the life and social sciences. Filled with down-to-earth examples of strategic behavior in humans and other animals, the book presents a unified account of the central ideas of both classical and evolutionary game theory. Unlike many books on game theory, which focus on mathematical and recreational aspects of the subject, this book emphasizes using games to answer questions of current scientific interest.In the present third edition, the author has added substantial new material on evolutionarily stable strategies and their use in behavioral ecology. The only prerequisites are calculus and some exposure to matrix algebra, probability, and differential equations.

Codice articolo LU-9781470450298

Dati bibliografici

• Titolo: An Introduction to Game-Theoretic Modelling
• Editore: American Mathematical Society, US
• Data di pubblicazione: 2019
• Lingua: Inglese
• ISBN 10: 1470450291
• ISBN 13: 9781470450298
• Rilegatura: Hardback
• Edizione: Third Edition.
• Condizione: New
• Peso: 913 grammi

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Riassunto

In an introduction to game theory and its applications from the perspective of an applied mathematician, Mesterton-Gibbons discusses a range of concepts that have proven useful and are likely to continue proving useful for mathematical modeling in the life and social sciences. He takes a heuristic but systematic approach, and deals in a unified manner with the central ideas of both classical and evolutionary game theory. The prerequisites are the standard calculus sequences, a rudimentary knowledge of matrix algebra and probability, a passing acquaintance with differential equations, some facility with a mathematical software package (he uses MATLAB), and mathematical maturity. Annotation ©2019 Ringgold, Inc., Portland, OR (protoview.com)