1. Consider a two-person, two-commodity, pure exchange economy with: U =qh42, U, = 1922, 911 +9219, and 912 + 922 = = 92 Derive the contract curve as am implicit function of 911 and q12. What condition on the coefficients a and ß will ensure that the contract curve is a straight line?
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- For a two-person two goods exchange economy, provide a formal definition of a barter equilibrium and formally demonstrate that such allocations are in the core of the economy.Question 1a) Carefully define the concept of contract curve. Given an exchange economy with two individuals and two goods, how can we find its contract curve? Use an appropriate graph,provide an intuition for your answer.1. Chapter 10 (a) In a pure exchange economy with two goods, G and H, the two traders have Cobb-Douglas utility functions. Suppose that Tony's utility function is U₁ = G, H, and Margaret's utility function is Um Gm (Hm)2. Between them, they own 100 units of G and 50 units of H. Solve for their contract curve. determine p, the competitive price of G, where the price of (b) = H is normalized to equal one.
- Is Principle of Unequal Cost and Principle of Unequal Exchange the same? Why? Cite their similarities and/or Differencesf. Illustrate the trade equilibrium of the Melitz model by drawing the Free Entry curve and the Zero Profit Cutoff condition in the appropriate diagram. How does an increase in tariffs affect the two curves and the cutoff firm o? (Note: You do not need to use any numbers or derive any equations for this diagram. Simply sketch the trade equilibrium and show how it changes.)How is the Edgewroth Box diagram for exchange constructed?
- TRUE OR FALSE One implication of Walras’ Law for a two-commodity exchange economy is that if one market is in equilibrium then the other market must also be in equilibrium.Question 3.For a two-person two goods exchange economy, provide a formal definition of a barter equilibrium and formally demonstrate that such allocations are in the core of the economy.Suppose we are considering a HO model setting, where countries have not yet opened up to trade. Two goods are produced exclusively by domestic labor supplies, tires and vehicle frames. Suppose a tire is labor-intensive in production whereas constructing vehicle frames is a capital intensive task that more frequently features automated machinery. Home and foreign maintain the following capital (K) and labor (L) endowments. Factor L K Home 1120 575 Foreign 1680 950 Suppose these countries transition into a free trade scenario. Using the previous details about both countries, perform the following tasks. (i) Sketch a world relative price, CPC line, through your bundle such that it passes through the PPF (it will have no tangency to PPF). (ii) Using this CPC line, with its fixed slope, shift the line until it is perfectly tangent with the indifference curve. Update your sketch with this newly labeled CPC. (iii) Correctly label the equilibria points at which Home consumes and produces. (iv)…
- Consider a 2-good, 2-agent pure exchange economy where there are 10 units of each good and preferences are represented by UA, UB: RR where uA (XA) = 2XA1 + XA2 and uB (XB) = XB1 + 2XB2- Which 2 of the following 8 options are true: There are initial endowments from which we can have a Walrasian Equilibrium with prices p = (1, 0). O The only Pareto efficient allocation is XA = (10, 0), XB = (0, 10). Every Pareto efficient allocation can be supported as a Walrasian Equilibrium after some reallocation of resources. We cannot apply the First Welfare Theorem because preferences violate local non-satiation. The allocation XA = (5, 10), XB = (5, 0) is Pareto efficient. For all price vectors PER3 we have p1z₁ + P2z2 = 0 where z; is the excess demand of good i € {1, 2}. O Preferences of both players satisfy strict convexity. At initial endowment eA= (5, 5), eg = (5, 5), there is a Walrasian Equilibrium with prices p = (1, 2).Assume the Heckscher-Ohlin model with two factors of production, labor and capital, and two goods, shoes and computers. Wages comprise 50% of the production costs of shoes (sLS = .5) and 25% of the production costs of computers (sLC = .25). Assume that trade causes the relative price of computers to rise by 10% and causes rental payments to capital (R) to rise by 20%. a. Calculate the effect that trade will have on wages. b. Use your answer in part a to show the effect that trade will have on the price of shoes. Show your work.Question 2: Discuss whether we can derive the Pareto set of a two-agent two-good pure exchange economy directly from agents' offer curves.