finding nash equilibrium

Consider a penalty game in soccer. The kicker has the options of kicking left, right, or middle. Similarly, the goalkeeper has the options of jumping to the left or right, or staying in the middle. If the kicker chooses the same direction as the goalkeeper, the kicker gets -1 payoff and the goalkeeper gets a payoff of 1. Otherwise, the kicker receives a payoff of 1 and the goalkeeper receives a payoff of -1. Washington State University School of Economic Sciences Goalkeeper L M R L -1,1 1,-1 1,-1 Kicker M 1,-1 -1,1 1,-1 1, 1 1,-1 -1,1 (a) Explain the kicker's best responses. (b) Explain the goalkeeper's best responses. (c) Does the game have any pure strategy Nash Equilibria