ABSTRACT

In this chapter we consider finite population games and see that we need some new concepts distinct from those for infinite population games. In particular we introduce key concepts the Moran process and related dynamical processes, as well as fixation probability and fixation times. Finite games also provide a useful introduction to games where the structure of the population is vital, in particular games on graphs, and we go on to consider these in detail, including both general methodologies and graphs which amplify or suppress selection.