Homework 2 You may discuss each problem with one or two other persons. Each person must do her or his own write Summary: CS7910 Homework 2 You may discuss each problem with one or two other persons. Each person must do her or his own write up. Moreover, you may not simply write down a solution and give it to the other person. You may present things to each other on (say) a whiteboard, but the other person should not simply be copying things over. You should acknowledge everyone you worked with, as well as all other sources, on the write up. Assignments are always due immediately at the beginning of class. 1. Penalty Shots Revisited. Player 1 has to take a soccer penalty shot to decide the game. She can shoot Left, Middle, or Right. Player 2 is the goalie. He can dive to the left, middle, or right. Actions are chosen simultaneously. The payoffs are as follows. (a) For each player, is any strategy dominated by another (pure) strategy? (b) For what beliefs about player 1's strategy is m a best response for player 2? For what beliefs about player 2's strategy is M a best response for player 1? (c) Suppose player 2 puts himself in player 1's shoes and assumes that player 1, whatever is her belief, Collections: Computer Technologies and Information Sciences