An Introduction to Game-Theoretic Modelling

The emphasis of this book is on self-discovery. In a unified manner, the book deals with the central concepts of both classical and evolutionary game theory. It includes chapters on Nash equilibrium and other solution concepts for noncooperative games; on evolutionary stability and other criteria for equilibrium selection; on cooperative games in strategic form; and on the prisoner's dilemma and the rationality of cooperation. The key ideas are illustrated throughout by well-chosen examples of both human and non-human behavior. Examples include car pooling, motorists at a crossroad, store managers fixing prices, sex allocation, spiders competing for web sites, and insects foraging for oviposition sites. There are numerous exercises, many with solutions.

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