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Unformatted text preview: the batter is more likely to get a hit than if the batter guesses correctly and the pitcher throws a cutter; if the batter guesses incorrectly and the pitcher throws a fastball, the batter is more likely to get a hit than if the batter guesses incorrectly and the pitcher throws a cutter). The batter&s utility is increasing in the probability he gets a hit while the pitcher&s utility is decreasing in the probability the batter gets a hit. (a) Write out a payo/ matrix for this game with examples for payo/s that satisfy the above description of the game. (b) Given the description of this game, can there exist a dominant strategy equilibrium? (c) Given the description of this game, can a pitcher ever be su ciently good at throwing a cutter (or bad at throwing a fastball) that there is a Nash Equilibrium in pure strategies ( C;B ) ?...
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 Spring '08
 Govel

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