Two individuals, A and B, have the following utility functions UA min {x¹, y^} UB min {x¹, y³} = and the endowments are of the same unit and quantity: x = y = 100. (a) Sketch the Edgeworth box and draw the contract curve. (b) If A has a different utility function UA = x² + y^ would the contract curve be different? Explain. (c) If we add the production of goods x and y in the economy, and the technology is con- stant return to scale for both goods, can the competitive equilibrium still be achieved? Explained.
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- Refer to figure . At the initial price, the consumer consumers 5 units of apple. Suppose theconsumer exchanges orange for apple at the initial price before the change in price. Thechange in demand for apples due to the change in the value of the endowment is equal toProblem 5 Consider an exchange economy with two people: Will and Bob; and two goods: apples and bananas. Will's initial endowment is 10 apples and 5 bananas. Bob's initial endowment is 5 apples and 10 bananas. Will likes apples and hates bananas. Bob likes both apples and bananas. The preferences of both Will and Bob are strictly convex. (a) Draw an Edgeworth Box with apples on the horizontal axes. Put Will at the bottom left corner and Bob at the top right corner. Show the initial endowment and label it with W.Bluth’s preferences for paper and houses can be expressed as Ub(p, h) = 2pb + hb, while Scott’s preferences can be expressed as Us(p, h) = ps + 2bs. Bluth begins with no paper and 10 houses, whereas Scott begins with 10 units of paper and no houses. 1. Is the starting endowment Pareto efficient? Justify your answer using an Edgeworth box? Determine whether each of the following price pairs is consistent with a competitive equilibrium. If yes, determine the resulting allocation of goods, sketching that equi- librium in your Edgeworth box. If not, explain why not (for what good is there a shortage, for what good is there a surplus?) pp =$3 and ph =$1 along with pp =$1 and ph =$1 Assume that the price of houses is $1. Given that price, determine the highest price pp that is consistent with a competitive equilibrium.
- Question 2 Demonstrate, by way of example, and explain fully, taking noting of the underlying assumptions, how you would derive Hicksian and Marshallian demand functions. What are the differences between these? Question 3 In the Walrasian world, Pareto optimal allocations are crucial in establishing an equilibrium outcome with respect to welfare. Give an exposition of the two Welfare Theorems, demonstrating also that they are Pareto efficientIn an exchange economy, there are two people (Shadi and Nino) and two goods (x1 and x2). Their initial endowments are ωS = (2, 4) and ωN = (3, 6). Their utility is given by the following functions: US(x1,x2) = x12x23 and UN(x1,x2) = x1x24. Which of the following is the equation for the contract curve? Group of answer choices a. x2N = 96x1N / (15 + 4x1N) b. x2N = 47x1N / (8 + 4x1N) c. x2N = 91x1N / 5 d. x2N = 16x1N / (3 + x1N) e. x2N = 41x1N / (9 + x1N)Consider a two-person exchange economy in which initial endowments for both individuals are such that (e1 = e1) = (1,1). Suppose the two individuals have the following indirect utility functions: V1 (x, y) = ln M1 - a ln Px - (1-a) ln Py V2 (x, y) = ln M2 -b ln Px - (1-b) ln Py Where Mi is the income level of person i and Px and Py are the prices for goods x and goods y, respectively. a) Calculate the market clearing prices.
- eCONOMIC Which of the following scenarios best illustrates the endowment effect? Question 14 options: Sam buys a piece of art for $1,000 but refuses to sell it for anything less than $2,000. John buys a new bicycle for $500 but is willing to sell it for $300 if he needs to. Rachel gets a free concert ticket but is willing to sell it for $40 if she can't go. Susan receives a gift card for $50 but is willing to trade it for two gift cards worth $25 each.In the two good specific factor model with diminishing returns to the mobile factor the utility possibility frontier is a straight line. True FalseSuppose the Economics Department has a graduation party for its students but as a final test they must show they have learned something about trade. Students in group A are given food (F) when they walk in, and students in group B are given a drink (D). Refer to Scenario 1. Suppose that all members of both groups have identical preferences where food and drink provide utility U = FαDβ. The contract curve in the Edgeworth box using a student from each group would be (a) a right angle connecting the lower left corner with the upper right corner.(b) a curve (not necessarily a line) connecting the lower left corner with the upper right corner. (c) a line connecting the lower left corner with the upper right corner.(d) a right angle connecting the upper left corner with the lower right corner.
- Suppose the Economics Department has a graduation party for its students but as a final test they must show they have learned something about trade. Students in group A are given food (F) when they walk in, and students in group B are given a drink (D). Refer to Scenario 1. Suppose they have very different preferences where food and drink provide utility. For group A, U = FαDβ. For group B, U = min{F,D}. The contract curve in the Edgeworth box using a representative from each group would be (a) a right angle connecting the lower left corner with the upper right corner.(b) a curve (not necessarily a line) connecting the lower left corner with the upper right corner. (c) a line connecting the lower left corner with the upper right corner.(d) a right angle connecting the upper left corner with the lower right corner.Which of the follwoing theoretical results is concerned with the relationship of factor endowments and the distribution of payoffs in an economy? Rybczynski Theorem Ricardian Equivalence Heckscher-Ohlin Theorem Stolper-Samuelson TheoremIf we write possible outcomes as (Utility of A, Utility of B), which of the following outcomes would a Utilitarian social welfare function select (7, 7) (-1, 22) (0, 13) (19, 1)