Finding the Nash Equilibrium.

Consider a penalty game in soccer. The kicker has the option of kicking left, right, or middle. Similarly, the goalkeeper has the option 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.

		Goalkeeper
		Left	Middle	Right
Kicker	Left	(-1,1)	(1,-1)	(1,-1)
	Middle	(1,-1)	(-1,1)	(1,-1)
	Right	(1,-1)	(1,-1)	(-1,1)

A. Explain the kickers best responses.

B. Explain the goalkeepers best responses.

C. Does the game have any pure strategy Nash Equilibria?

Answer rating: 100% (QA)

A Kickers best response is to goal on the other two direction in which goalkeepe... View the full answer