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

Mike Mesterton-Gibbons (Author)
5.0 out of 5 stars  See all reviews (1 customer review)

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Book Description

September 2000 0821819291 978-0821819296 2
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.



Editorial Reviews

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

Product Details

  • Paperback: 368 pages
  • Publisher: Amer Mathematical Society; 2 edition (September 2000)
  • Language: English
  • ISBN-10: 0821819291
  • ISBN-13: 978-0821819296
  • Product Dimensions: 8.4 x 5.6 x 0.8 inches
  • Shipping Weight: 1 pounds (View shipping rates and policies)
  • Average Customer Review: 5.0 out of 5 stars  See all reviews (1 customer review)
  • Amazon Best Sellers Rank: #117,040 in Books (See Top 100 in Books)

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6 of 6 people found the following review helpful:
5.0 out of 5 stars If you want to understand the concepts of game theory..., May 7, 2003
By A Customer
look no further than Prof. Mesterton-Gibbons text. Although there are several classic texts in game theory, most proceed as typical mathematical works do: definition, definition, theorem, theorem, etc. This deductive path is great for rigor, but often a "feel" for the subject is lacking. The author's goal here is to proceed inductively, starting from examples and buliding up to the general principles. You'll finally understand, for example, what Nash equilibria in noncooperative games or the core of cooperative games really represents, and you'll be offered plenty of examples to demonstrate the concepts.

Kudos to Prof. Mesterton-Gibbons for writing a great text that really gets the reader thinking in a game-theoretic way!

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Inside This Book (learn more)
First Sentence:
This is a book about mathematical modelling of strategic behavior, which arises whenever the outcome of an individual's actions depends on actions to be taken by other individuals. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
least rational core, rational reaction set, disfavored male, uninvadable strategy, sperm expenditure, pure infiltration, traversal delays, maximum dissatisfaction, deviant strategy, posse effect, deviant strategies, unique best reply, nice population, winner effect, characteristic function games, correlated strategies, loser effect, focal individual, single imputation, orthodox strategy, gaine theory, reward set, strength perception, initial reserves, payoff matrix
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Store Wars, More Population Games, Maynard Smith, Verify Figure
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