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This text explores 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 for many a fascinating branch of mathematics, with both serious and recreational applications. Strategic behaviour 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.