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2. (12 points) Consider the following payoff matrix: High Price Low Price High Price 60. 60 5, 260 Low Price 260. 5 10, 10 Two

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2. (12 points) Consider the following payoff matrix: High Price Low Price High Price 60. 60 5, 260 Low Price 260. 5 10, 10 Two firms play this pricing game repeatedly an infinite number of times. Suppose each firm adopts a grim trigger strategy that says they will choose a high price in the first period of the game, and they will continue to choose a high price as long as the other player has chosen a high price in the previous period. If one firm chooses a low price in any period, then the other firm will choose a low price in all subsequent periods until the end of time. Characterize the values of the discount rate, r, which will lead to the High Price High Price outcome being played in each period as a non-cooperative Nash Equilibrium

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