a 10.2. SINGLE MARKET. Suppose that two countries, initially in autarchy, decide to cre- ate a single market. For simplicity, assume that, in both economies, there is only one product. Demand for this product is given by D₁ = Si (a-pi), (i=1,2), where S; is measure of country i's size. Upon the creation of a single market, total demand is given by the horizontal sum of the two initial demands. Assuming there is free entry and that firms compete a la Cournot, determine the equilibrium number of firms in autarchy and after the completion of the single market. Interpret the results.
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- Consider an international economy consisting of home and foreign coun- tries. There are two factors: capital (K) and labor (L) and two goods: clothing (C) and food (F): The two countries share the same constant re- turns to scale production functions. Representative consumers of the two countries share the same homothetic welfare functions with usual proper- ties. Assume that at autarky both countries produce both goods. All the prices are in terms of units of food. Thus, the price of food is 1: The home country is labor abundant: Here, L and K are home endowments of labor and capital and Land Kare foreign endowments of labor and capital. Assume that food industry is capital intensive and clothing industry is labor intensive. All markets are competitive. (a) Define the following terms: Home country is labor abundant. (b) Draw the relative supply curves of home and foreign countries and the common relative demand curve. Use PC/PF in the vertical axis and QC/QF in the horizontal…Suppose that Yosemite and Congaree agree to trade. Each country focuses its resources on producing only the good in which it has a comparative advantage. The countries decide to exchange 6 million pounds of corn for 6 million pounds of lentils. This ratio of goods is known as the price of trade between Yosemite and Congre The following graph shows the same PPF for Yosemite as before, as well as its initial consumption at point A Place a black point (plus symbol) on the graph to indicate Yosemite's consumption after trade. Note: Dashed drop lines will automatically extend to both axes. LENTILS (MEs of pounds) Youmite 12 Consumption Aer Trade (?)Suppose that there are two countries in the world, USA and Australia, and that each country consumes a tradable good with international price PT = P ∗ T = 2. Assume also that each country consumes local transportantion, a non-tradable service, where the price for nontradables in USA is PN = 1 and in Australia it is P ∗ N =2. Suppose that the law of one 2 price holds for tradable goods and assume that the pricing index φ(P1, P2) = P1^0.5 *P2^0.5, which satisfies the properties discussed in class. (i) Assume that the law of one price holds. What is the value of the nominal exchange rate? (ii) Express the real exchange rate e as a function of relative prices of non-tradables to tradables in Australia and USA, and calculate its value. (iii) How would a tax to local transportation in Australia affect the real exchange rate? (iv) Use the Balassa-Samuelson theory discussed in class to express the real exchange rate in terms of relative productivities of tradable and non-tradable sectors in…
- 3. Suppose we divide the world into 2 regions, A and B, and that: Region A's demand curve for microwaves is given by: DA = 1,800-20P. Its supply curve is: SA = 25P Region B's demand curve for microwaves is given by: DB = 1,375-40P. Its supply curve is: SB = 15P (a) Under no trade, what will be the equilibrium price and quantity is each region? (b) Under no trade, what will be the consumer surplus and producer surplus in each region? (c) When trade occurs, which region will export microwaves? Explain briefly. (d) Under free trade and zero transportation cost, what would be the world price of wine? (e) Under free trade, how many microwaves will be exported/imported? (f) Under free trade, what will be the consumer surplus and producer surplus in each region?Suppose that the world price of oil is roughly $90.00 per barrel and that the world demand and total world supply of oil equal 34 billion barrels per year (bb/yr), with a competitive supply of 20 bb/yr and 14 bb/yr from OPEC. Statistical studies have shown that the long-run price elasticity of demand for oil is -0.40, and the long-run competitive price elasticity of supply is 0.40. Using this information, derive linear demand and competitive supply curves for oil. Let the demand curve be of the general form Q=a-bP and the competitive supply curve be of the general form Q=c+dP, where a, b, c, and d are constants. The equation for the long-run demand curve is A.Q=47.50-0.15P. B.Q=13.50-47.50P. C.Q=47.50-P. D.Q=47.50+0.15P. E.Q=13.50-0.15P.Home's Domestic Demand and supply curves for shoes are D = 500-10P and S = 300+20P. Foreign's domestic demand and supply curves for the same type of shoes are D = 1000-10P and S = 200 + 40P. (a) Find the autarky price and quantity for each country. If the countries trade, which country will export shoes? (b) Derive algebraically the import demand and export supply functions. Find the price and volume of trade with free trade.
- If a country opens up for trade, and it ends up importing a good, the net effect of importing that good will be a gain for the economy. the country could end up having a net gain or loss from importing that good, depending on how elastic the curves are. the net effect of importing that good will be a loss for the economy. the country will have to export some other good in order to compensate for the losses incurred by importing this good.Consider a trade economy with two people (A and B) and two goods (1 and 2). Person A's utility function is U A = x1x2 where xi is A's consumption of good i E (1, 2). Person B's utility function is U B = y1 + y2, where yi is B's consumption of good i = (1, 2). There are 20 units of each good in the economy. Which of the following allocations are efficient? (a) x1 = 10, x2 = 10, y1 = 10, y2 = 10. (b) x1 = 7, x2 = 7, y1 = 13, y2 = 13. (c) x1 = 0, x2 = 0, y1 = 20, y2 = 20. (d) x1 = 15, x2 = 10, y1 = 5, y2 = 10. (e) x1 = 12, x2 = 12, y1 = 6, y2 = 6.Consider an international economy consisting of USA and China. There are two factors: capital (K) and labor (L) and two goods: manufacture(M) and food (F): The two countries share the same constant returns to scale production functions. Representative consumers of the two countries share the same homothetic welfare functions with usual properties. At autarky (before trade) and after trade opens, both countries produce both goods. All the prices are in terms of units of food. Thus, the price of food is 1: The USA is capital abundant: Here, L and K are USA endowments of labor and capital and Land Kare Chinese endowments of labor and capital. Assume that food industry is capital intensive and manufacturing is labor intensive. All markets are competitive. (a) Define the following terms: manufacture industry is labor intensive. (b) Draw how the relative supply curves of USA and China might look like and explain their relative positions using the Rybczynski theorem. Use PM/PFon the…
- Q.2 Suppose the demand in the poor country is P=100- 9Q and supply is P=Q. Suppose the supply in the poor country is different from the one in country A only because it faces less strict environmental regulations. That is, in country B it costs firms Q to produce Q units, whereas it costs 2Q in country A to produce quantity Q. Draw country B’s demand and supply diagram in 'autarky' with the standard axes (P vertical, Q horizontal). Mark carefully on the diagram the demand curve, the supply curve, and then work out the equilibrium (show working out and the numbers not just the point) . How large is welfare under autarky ?Assume that Cliff and Paul were both producing wheat and corn, and each was dividing their time equally between the two. Then they decide to specialize in the product they have a comparative advantage in and trade 3 bushels of wheat for 3 bushels of corn. What would Cliff now be able to consume? Question 10 options: 3 bushels of wheat and 3 bushels of corn 3 bushels of wheat and 4 bushels of corn 4 bushels of wheat and 3 bushels of corn 2 bushels of wheat and 3 bushels of cornSuppose the United States and Mexico both produce hamburgers and tacos. The combinations of the two goods that each country can produce in one day are presented in the table below. United States Hamburgers (in tons) Mexico Tacos (in tons) Hamburgers (in tons) Tacos (in tons) 27 15 10 20 18 9 10 30 Which country has an absolute advantage in producing tacos? The United States. Which country has a comparative advantage in producing tacos? Mexico Suppose the United States is currently producing 20 tons of hamburgers and 9 tons of tacos and Mexico is currently producing 4 tons of hamburgers and 5 tons of tacos. If the United States and Mexico each specialize in producing only one good (the good for which each has a comparative advantage), then a total of additional ton(s) of hamburgers can be produced for the two countries combined (enter a numeric response using an integer)