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Two firms play the following pricing game: If both of them charges a low price, each of them get 5. If both of them charges

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Two firms play the following pricing game: If both of them charges a low price, each of them get 5. If both of them charges a high price, each of them get 15. If one of them charges a low price and the other charges a high price, the former get 25 and the latter gets 0. They play this game repeatedly, with an infinite horizon. What is the minimum discount factor for both of them sticking with the high price

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