Consider the following coordination game: Player 2 a Player 1 a b 0,0 1,4 b 4,1 0,0 (a) Let o-(P1, P2) denote the population state. Derive the replicator system for this coordination game (a system of two nonlinear differential equations, pi 9(P1,p2) P2 - h(P1, P2) (b) Let p1 - p so that p2 - 1 - p. Reduce the system from part (a) to a single differential equation p-fp) Note: Recall from the video lectures and textbook that you should expect f(p) to have both p and (1-P) as factors. (c) Find any equilibrium solutions for the differential equation from part (b)