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Question 3 (25 Points). Climate Change and Game Theory: Consider a situation in which two countries choose whether or not to reduce carbon emissions. The

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Question 3 (25 Points). Climate Change and Game Theory: Consider a situation in which two countries choose whether or not to reduce carbon emissions. The table below shows the yearly gains/costs for each country depending on the chosen strategies. Country 2 Reduce Emissions N0 Reduction Reduce Emissions 20 , 20 20 , 150 Country 1 N0 Reduction 150 , 20 m c Find the Nash equilibrium assuming that the game is played only once. . Assume now that the game is played repeatedly (in year 1, year 2, year 3, etc.) with a discount rate of 0.1 per year (i.e., 1 USD in a year from now is worth 0.9 USD today; and 1 USD in two years from now is worth 0.81 USD today). In this repeated game, is there a Nash equilibrium in which both companies reduce emissions in all years? Show your calculations

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