ABSTRACT

In Chapter 6 we considered matrix games, where individuals play one of a number of pure strategies according to a probability vector p and the opposing pure strategy is chosen according to the frequencies chosen by their opponent (or the mixture of opponents that occur in the population). Thus, as in (6.2)

E [p; qT] = E[p,q] = pAqT

= ∑ i

pi(Aq T)i =

∑ j

(pA)jqj

= ∑ i,j

aijpiqj .