ABSTRACT
Unlike physics, which has been inextricably linked to mathematics since its foundations, the relationship between biology and mathematics has until quite recently not been strong. Mathematical biology, however, has been rapidly advancing on a number of fronts and arguably the most influential modelling in this area concerns the development of the theory of evolutionary games. In this chapter we set out the history of game theory, from its earliest uses to the introduction of the modern theory of games and the development of evolutionary games. We discuss some of the history, and some of the key mathematical developments of evolutionary game theory in general terms.
