ABSTRACT
In this chapter we describe the two basic approaches to the analysis of evolutionary games, the dynamical approach and the static approach. For the dynamical approach we look at the most commonly used dynamics such as the continuous replicator dynamics and adaptive dynamics. We also briefly discuss the important issue of timescales in evolutionary modelling. For the static approach we introduce the main ideas of static theory, the Nash equilibrium and the Evolutionarily Stable Strategy. We then discuss some important issues about the composition of populations. Finally we compare the two approaches.
