Consider a two-good two-consumer exchange economy where u1 = X1Y1 and u2 = X2Y2, endowment of person 1 = (3, 4) and endowment of person 2= (2, 2). Setting the price of good Y to one (Py = 1), what is the price of good X in the competitive equilibrium? 01 0 6/5 O 3/5 O 3/2
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- ####### Consider the following pure exchange, Edgeworth box economy. There are 2 consumers and 2 goods. Consumer 1 has an endowment of 3 units of good Y, while consumer 2 has an endowment of 3 units of good X. For both consumers the utility function is given by: U (x, v) = x^2y, where x and y denote the respective quantities of goods X and Y. Find the Walrasian equilibrium price ratio P/Pr and the Walrasian allocations. Does trade take place in equilibrium? i want answer in 1 hour. if you provide solution within time, i will upvote. thanks in advanceBluth’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.Problem 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.
- An exchange economy consists of two individuals and two goods. The two individuals have the following Leontief utility functions: Person 1: U1(x1, y1) = 3x1 + y1 Person 2: U2(x2, y2) = x2 + 2y2 Person 1 has an endowment of e1 = (3, 2). Person 2’s endowment is e1 = (3, 4). In an Edgeworth Box diagram, show which allocations are in the core. Describe the set of Pareto optimal allocations (i.e. the contract curve) in the Edgeworth Box. Illustrate the contract curve in an Edgeworth Box diagram. Let good y be the numeraire (i.e. set py = 1 and let px = p). What price ratio(s) P* will support a competitive equilibrium allocation for this economy?20. In the graph above, point E represents the autarkic equilibrium of a country in an endowment model. Both black and red curves are indifferences curves of consumers with identical homoethic preferences. If this country opens up to trade and world prices are given by the slope of the red line, then Question 20 options: a) this country will import clothing and export food b) this country will export clothing and import food c) there is no trade in the new equilibrium d) this counry will import and export clothingA Gain from Trade occurs when a unit is sold for a price greater than the unit of the good is worth to a seller and, simultaneously, bought for a price less than the good is worth to a buyer. Consider the first 2 units of the good that would be sold in this market (the vertical red line on the graph). Which answer choices are correct? If Kai and Mint sold one unit each to Gob and Yam at a price of $6, the trade would be mutually beneficial. At a price of $6, Gob would benefit by $3 because she is paying $6 for a unit of the good which is worth $9 to her. At a price of $6, Kai would benefit by $4 because she is getting $6 for a unit of the good which is worth $2 to her. For the first 2 units of the good there is potential gain from trade of $7 for each of the 2 units. For the first 2 units of the good sold the difference between the value to buyer and seller is $9 each. This means there is a potential gain from trade of $9 per unit. If the first 2 units of the…
- If A has TIOLI power in an exchange, which of the following are true? a. Person A will capture most or all of the gains from trade. b. Person B will lose utility compared to their initial endowment. c. A Pareto-efficient outcome is assured. d. Person B could gain utility if they agree to A's offer.Chris and Dana live in an exchange economy with two goods: good Q and good R. Chris starts off with an endowment of 6 units of Q and 10 units of R. Dana starts off with an endowment of 8 units of Q and 8 units of R. Suppose that the price of good R is pR=1 and the price of good Q is pQ=2. a )At these prices, does the market clear? Yes or no? Explain your answer. b) What relationship must hold between the consumption of each agent and the price of the two goods at the market clearing equilibrium? Write the equationIf there is only one buyer and one seller meeting to exchange, then any price that they agree upon must be between the willingness to pay of the buyer and the willingness to sell of the seller.True or False
- Andy, Brad, and Carly are playing a new online video game: Zombie Civil War. Each has an army of 100 zombies and must decide how to allocate them to battle each of the other two players’ armies. Three simultaneous battles are occurring: one between Andy and Brad, one between Andy and Carly, and one between Brad and Carly. Let Ab denote how many zombie soldiers Andy allocates to his battle with Brad, with the remaining 100 - Ab soldiers in Andy’s zombie army assigned to the battle with Carly. Bc denotes the number of zombie soldiers that Brad allocates to his battle with Carly, and 100 - Bc zombies go to his battle with Andy. Ca is the the number of zombie soldiers that Carly allocates to the battle with Andy, and 100 - Ca in her battle with Brad. To see how payoffs are determined, consider Andy. If Ab > 100 - Bc, so that Andy has more zombies than Brad in the Andy-Brad battle, then Andy wins the battle and receives w points where w > 2. If Ab = 100 - Bc, so that Andy and Brad…Consider an exchange economy with 2 agents and 2 goods. In an Edgeworth-Bowley diagram, show and illustrate that if both agents have the same preferences, the contract curve is a straight line from the bottom left-hand corner to the top right-hand corner. Does it follow that if the agents do not have the same preferences, the contract curve is not a straight line? Suppose the two agents have the same endowments and the same preferences. Is mutually beneficial trade possible? Illustrate in an Edgeworth Bowley diagram. State and explain Walras Law. What are the implications of Walras’s Law? Illustrate Walras Law in an Edgeworth-Bowley diagram.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.