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Mathematics, 20.02.2020 22:35 emacwhaleng

Question 1: Penalty Kicks and Mixed Strategies Economist Ignacio Palacios-Huerta analyzed 1,417 penalty kicks during five years of professional soccer matches in Europe. The success rates of penalty kickers given the (simultaneous) decision by the goalie and the kicker (left or right) are as follows: Kicker Left Right Left 58% 95% Goalie Right 93% 70% Suppose that if the ball goes into the net, the goalie's payoff is -1, while the kicker's payoff is +1. Otherwise, the goalie gets +1, and the kicker gets -1 Describe the expected payoffs of the players in a matrix. Are there Nash Equilibria in pure strategies?

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