Consider the penalty kick in soccer. There are two players, the goalie (G) and the kicker (K). The kicker has two strategies, kick to the goalie's right (R) or kick to the goalie's left (L). The goalie has two strategies: dive left (L) or dive right (R). Let a be the probability that the kick is stopped when both choose L and let be the probability that the kick is stopped when both choose R. Assume that 0