Q1 Suppose that two countries, initially in autarchy, decide to create a single market for only one product. Demand for this product is given by Q(p) = 21-p in country 1, and by Q(p) = 42 - 2p in country 2. With the creation of the single market for this product, the total demand in the unified market will be given by the horizontal sum of the two demands: Q(p) = (21 − p) + (42 - 2p) = 63 -3p. Assume that there is free entry, all firms in both countries have the same cost function TC(q) = 4 + q, and firms compete in the style of Cournot. Please compute the equilibrium number of firms, the equilibrium price, the consumer surplus, and total profits in autarchy and after the completion of the single market. Interpret the results. You can use any of the formulas from the lecture notes that you need. You don't have to compute everything from the very beginning!

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Q1
Suppose that two countries, initially in autarchy, decide to create a single market for only one product.
Demand for this product is given by Q(p) = 21 - p in country 1, and by Q(p) = 42 – 2p in country 2. With the
creation of the single market for this product, the total demand in the unified market will be given by the
horizontal sum of the two demands: Q(p) = (21-p) + (42 - 2p) = 63-3p. Assume that there is free entry,
all firms in both countries have the same cost function TC(q) = 4 + q, and firms compete in the style of
Cournot.
Please compute the equilibrium number of firms, the equilibrium price, the consumer surplus, and total
profits in autarchy and after the completion of the single market. Interpret the results.
You can use any of the formulas from the lecture notes that you need. You don't have to compute
everything from the very beginning!
Transcribed Image Text:Q1 Suppose that two countries, initially in autarchy, decide to create a single market for only one product. Demand for this product is given by Q(p) = 21 - p in country 1, and by Q(p) = 42 – 2p in country 2. With the creation of the single market for this product, the total demand in the unified market will be given by the horizontal sum of the two demands: Q(p) = (21-p) + (42 - 2p) = 63-3p. Assume that there is free entry, all firms in both countries have the same cost function TC(q) = 4 + q, and firms compete in the style of Cournot. Please compute the equilibrium number of firms, the equilibrium price, the consumer surplus, and total profits in autarchy and after the completion of the single market. Interpret the results. You can use any of the formulas from the lecture notes that you need. You don't have to compute everything from the very beginning!
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