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In American football, if a team tries for a 2-point conversion, then the ball is placed on the 2-yard line, and the team has one
In American football, if a team tries for a 2-point conversion, then the ball is placed on the 2-yard line, and the team has one olay to try to get into the end zone. The quarterback can decide to run the ball or pass it. Similarly, the other team can commit itself to defend more heavily against a run or a pass. This can be modeled as a 22 matrix game, in which the payoffs are the orobabilities of getting in the end zone and earning the 2 points. Calculate the best-response functions, ER and EP, in terms of q for the offense. EP= Calculate the best-response functions, ER and EP, in terms of p for the defense. ER= EP= Calculate the best-response functions, ER and EP, in terms of p for the defense. ER= E Calculate the Nash equilibria, q and p, for this game. q= p= In American football, if a team tries for a 2-point conversion, then the ball is placed on the 2-yard line, and the team has one olay to try to get into the end zone. The quarterback can decide to run the ball or pass it. Similarly, the other team can commit itself to defend more heavily against a run or a pass. This can be modeled as a 22 matrix game, in which the payoffs are the orobabilities of getting in the end zone and earning the 2 points. Calculate the best-response functions, ER and EP, in terms of q for the offense. EP= Calculate the best-response functions, ER and EP, in terms of p for the defense. ER= EP= Calculate the best-response functions, ER and EP, in terms of p for the defense. ER= E Calculate the Nash equilibria, q and p, for this game. q= p=
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