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This book is an informal introduction to game theory intended as a first course for undergraduate students of mathematics. Uniquely, it covers optimal decisions, classical games and evolutionary game theory in one volume. Optimal decisions are treated as a special case of game theory in which the game is played against nature an opponent who is indifferent about the outcome. For evolutionary game theory, a subject which is often presented as a minor adjustment to the classical theory, this book aims to provide a better understanding by emphasising the differences between the two types of game theory, in particular the population context in which evolutionary games are embedded. While this book is written primarily for students of mathematics, proofs and other technical discussion are restricted to special cases so this book should be accessible to students and researchers of economics and biology as a second course in the subject or as supplementary reading.
