Paper #2 - Kasey Harbes PAM 2000 Paper#2 Game Theory...

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Kasey Harbes PAM 2000 Paper #2 November 30, 2010 Game Theory: Penalty Kicks and Shootouts The Cornell University women’s Varsity Soccer team has made it to the championship. After ninety minutes of regular play and twenty minutes of over time, the game remains tied up, and the fate of the team depends on a shootout, a total of ten penalty kicks (five from each team). Penalty kicks involve just two players and thus allows for a test of the economic game theory. The kicker should maximize her chance of scoring, while the goalie should maximize her chance of saving. Each player has to decide which directing to kick/jump, either to the left, the center, or to the right. In this game one person wins and one person loses. There is no pure strategy, or Nash Equilibrium, in this game – the optimal strategy is randomization. The goalies strategy will depend on the kicker’s past kicks, while the kickers strategy is independent of the goalie. It is important to note that kickers tend to be more successful when they are
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