 Now consider the following evolutionary model: suppose we have a population of individuals who pair up and repeatedly play the game of divide-the-cake, modifying their strategies over time in a way which is described by the replicator dynamics. For convenience, let us assume that the cake is divided into 10 equally sized slices and that each player’s strategy conforms to one of the following 11 possible types: Demand 0 slices, Demand 1 slice, … , Demand 10 slices. For the replicator dynamics, the state of the population is represented by a vector \(\langle p_0, p_1 , \ldots ,p_{10}\rangle\) where each \(p_i\) denotes the frequency of the strategy “Demand \(i\) slices” in the population.