Use the Fundamental Theorem of Exchange and draw Edgeworth Box diagrams to show the conditions necessary for an 'efficient' allocation of two goods between two individuals. Use this model o evaluate the statement: "If two individuals have identical endowments of both goods there are no possible gains from trade". Hint: you need to develop your explanation of the theory and the efficiency conditions step-by-step. You need to draw several diagrams showing Edgeworth Box (rather than drawing one complicated crowded diagram).

Use the Fundamental Theorem of Exchange and draw Edgeworth Box diagrams to show the conditions necessary for an 'efficient' allocation of two goods between two individuals. Use this model o evaluate the statement: "If two individuals have identical endowments of both goods there are no possible gains from trade". Hint: you need to develop your explanation of the theory and the efficiency conditions step-by-step. You need to draw several diagrams showing Edgeworth Box (rather than drawing one complicated crowded diagram).

Microeconomic Theory

12th Edition

ISBN:9781337517942

Author:NICHOLSON

Publisher:NICHOLSON

Chapter13: General Equilibrium And Welfare

Section: Chapter Questions

Problem 13.1P

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Use the Fundamental Theorem of Exchange and draw Edgeworth Box diagrams to show the conditions necessary for an 'efficient' allocation of two goods between two individuals. Use this model to evaluate the statement: "If two individuals have identical endowments of both goods there are no possible gains from trade". Hint: you need to develop your explanation of the theory and the efficiencyconditions step-by-step. You need to draw several diagrams showing Edgeworth Box
Explain why an economy in which airlines charge different passengers different prices for the same flight will not have exchange efficiency. b. Going back to our two good (Apples, Oranges), two person (Ed, Mary) economy, suppose that at a given allocation, Ed’s MRSAO is 3 and Mary’s MRSAO is 1. Use proof by contradiction to show that this allocation is not exchange efficient. Identify a trade that will increase the utility of Ed and Mary. Explain. Show this graphically (with indifference curves). Going back to our two good (Apples, Oranges), two person (Ed, Mary) economy, suppose that at a given allocation, Ed’s MRSAO is 3 and Mary’s MRSAO is 1. Use proof by contradiction to show that this allocation is not exchange efficient. Identify a trade that will increase the utility of Ed and Mary. Explain. Show this graphically (with indifference curves).
7) Jane has 3 liters of soft drinks and 9 sandwiches. Bob, on the other hand, has 8 liters of soft drinks and 4 sandwiches. With these endowments, Jane's marginal rate of substitution ( MRS) of soft drinks for sandwiches is 4 and Bob's MRS is equal to 2. Draw an Edgeworth box diagram to show whether this allocation of resources is efficient. If it is, explain why. If it is not, what exchanges will make both parties better off?
This problem set is about General Equilibrium, . 1. True and False. For each of the following statements, specify whether the section in bold is true, false or uncertain, and in no more than FOUR sentences, explain your answer. Note that answers that only indicate true or false without providing any further explanations Forall the following questions, consider a two-person two-good exchange econ- omy, in which preferences are well behaved. (a) Any competitive equilibrium (allocation and price ratio) must be unique. (b) The centre of the Edgeworth box must be a Pareto optimal allocation.. (c) A candidate allocation need only be within the lens formed by the two indifference curves (one for each agent) that pass through the initial al- location point, without being on the core, in order to be a competitive equilibrium). (d) Walrasian tâtonnement is the process of adjusting the relative prices of the two goods when the individually optimal allocations for each player leads to excess…
2. Consider a two person pure exchange economy with two divisible goods: : a consumer can consume any positive amount of any good The goods are; x1 and x2. The utility function are u' (x1, x2) = x1+Vx2, and u?(x1, x2) = x1 + x2, and the initial endowments are el Pi = 1, compute the competitive equilibrium for this economy. It is to say that you need to find the vector of prices, and allocations that sustain the Walrasian equilibrium. (25, 75) and e? = (75, 25). Assuming
1. True/False: Partial equilibrium analysis only concerns supply or demand alone, whereas general equilibrium analysis concerns supply and demand simultaneously. 2. True/False: In general equilibrium analysis, an allocation is said to be as a reasonable allocation if each consumer consumes the same bundle its value is no more than the value of the consumer's income. 3. True/False: In general equilibrium analysis, an allocation is said to be as a reasonable allocation if each consumer consumes the same bundle its value is no more than the value of the consumer's income.
Jane has 11 liters of soft drinks and 10 sandwiches. Bob, on the other hand, has 9 liters of soft drinks and 10 sandwiches. With these endowments, Jane's marginal rate of substitution (MRS) of soft drinks for sandwiches is 6 and Bob's MRS is equal to 8. Draw an Edgeworth box diagram to show whether this allocation of resources is efficient. If it is explain why. If it is not, what changes will make both parties better off? Part 2 1.) Using the three-point curved line drawing tool, draw an indifference curve for Jane when consuming 11 liters of soft drinks and 10 sandwiches. Label this curve UJ. 2.) Using the three-point curved line drawing tool, draw an indifference curve for Bob when consuming 9 liters of soft drinks and 10 sandwiches. Label this curve UB.
Consider an economy with two people, Li and Carlo, and two commodities, clothing and food. Currently, Li and Carlo would both be willing to give up 0.5 articles of clothing for one piece of food. Further, the workers in town can, in a given day, produce either 10 pieces of clothing or 50 pieces of food. Is the allocation of resources in this economy Pareto efficient? If not, should there be more clothing or more food? (Let the MRS=MUfood/MUclothing=the value of food in terms of clothing=how much clothing we would trade for 1 more food)
Jane has 11 liters of soft drinks and 10 sandwiches. Bob, on the other hand, has 9 liters of soft drinks and 10 sandwiches. With these endowments, Jane's marginal rate of substitution (MRS) of soft drinks for sandwiches is 5 and Bob's MRS is equal to 7. Draw an Edgeworth box diagram to show whether this allocation of resources is efficient. If it is explain why. If it is not, what changes will make both parties better off? 1.) Using the three-point curved line drawing tool, draw an indifference curve for Jane when consuming 11 liters of soft drinks and 10 sandwiches. Label this curve Uj. 2.) Using the three-point curved line drawing tool, draw an indifference curve for Bob when consuming 9 liters of soft drinks and 10 sandwiches. Label this curve Uğ. Carefully follow the instructions above, and only draw the required objects. Sandwiches 0₁ Jane 11 Soft drinks Bob OB 10 Q
1. Suppose in an economy there are only two individuals; Shakib and Tamim. They only have two products; Biriyani and Tehari. Shakib and Tamim’s endowment allocations are the following: wS = (10, 2) and wT = (4, 5).The first number represents the quantity of Biriyani and the second number represents the quantity of Tehari. Using a diagram, explain the following concepts:a) Endowment allocationsb) Pareto improving allocationsc) The core
Jane has 9 liters of soft drinks and 12 sandwiches. Bob, on the other hand, has 11 liters of soft drinks and 8 sandwiches. With these endowments, Jane's marginal rate of substitution (MRS) of soft drinks for sandwiches is 4 and Bob's MRS is equal to 3. Draw an Edgeworth box diagram to show whether this allocation of resources is efficient. If it is explain why. If it is not, what changes will make both parties better off? 1.) Using the three-point curved line drawing tool, draw an indifference curve for Jane when consuming 9 liters of soft drinks and 12 sandwiches. Label this curve U, Bob 11 2.) Using the three-point curved line drawing tool, draw an indifference curve for Bob when consuming 11 liters of soft drinks and 8 sandwiches. Label this curve Up. Carefully follow the instructions above, and only draw the required objects. Jane Soft drinks Sandwiches
5. Consider an exchange economy with 2 agents and 2 goods. a) 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. Explain. b) Does it follow that if the agents do not have the same preferences, the contract curve is not a straight line? Explain. c) Suppose the two agents have the same endowments and the same preferences. Is mutually beneficial trade possible? Illustrate in an Edgeworth Bowley diagram. Explain.