ABSTRACT
Up until now, when we have considered pairwise contests, we have assumed symmetric games where players are indistinguishable in every way, except perhaps their strategy. In this chapter we investigate games where this is no longer the case. We will classify such games into different types, and look at some classical examples. We discuss three types of asymmetry in relation to a contest: asymmetries in payoff, asymmetries in fighting ability (Resource holding potential) and uncorrelated asymmetry. We state and prove Selten's theorem, which shows that mixed ESSs cannot occur for certain classes of games, for games with two roles and also provide a general theory of bimatrix games.
