1. ● Three players together can obtain 1 to share, any two players can obtain 0.8, and one player by herself can obtain zero. ● Then, N= 3 and v(1) = v(2) = v(3) = 0, v(1, 2) = v(2, 3) = v(3, 1) = 0.8, v(1, 2, 3) = 1. Which allocation is in the core of this coalitional game? a) (0,0,0); b) (0.4, 0.4, 0); c) (1/3, 1/3, 1/3); d) The core is empty;
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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.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
- 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.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?1. Consider allocations b-f (meaning points a, b, and f). Which allocations(s) A. are better for Ross than “a” (ignoring Rosa)? B. are better for Rosa than “a” (ignoring Ross)? C. are worse for both Ross and Rosa than “a”? D. are better for both Ross and Rosa than “a”? E. are Pareto superior to “a”?
- Consider the figure attached which shows the combined production function of Anna and Bob.Suppose a scenario where the Government has introduced a new social welfare program to cater to the poor of the society, wherein the reservation wage increases from 2 bushels of wheat to 6 bushels of wheat. Draw a new diagram to show the impact of this welfare program and comment on who do you think would benefit from this intervention? Additionally, does the outcome of this intervention results in an allocation which is a pareto efficient one? Explain your reasoning. (Make sure your diagram is fully labelled)Figure shows the combined production function of Angela and Bruno. If the government introduces a new social welfare program to cater to the poor of the society, wherein the reservation wage increases from 2 bushels of wheat to 6 bushels of wheat how would you model the situation? Draw a new diagram to show the impact of this welfare program and comment on who do you think would benefit from this intervention? Additionally, does the outcome of this intervention results in an allocation which is a pareto efficient one? Explain your reasoning. (Please Make sure your diagram is fully labelled)Dear tutor, please solve these True/False Questions. Thank You! 1. Any point on the contract curve is Pareto efficient regardless of the initial endowment. 2. When two people trade their initial endowments to a point on the contract curve, only the level of the endowments will determine the new allocation.
- Consider a pure exchange economy, where each consumer has preferences described by a Cobb-Douglas utility function. Both consumers have exactly the same endowment. In such an economy, an equitable distribution of goods (where each individual consumes exactly half of each good) is a Walrasian equilibrium allocation. a. always for any consumers' preferences b.only if consumers' preferences are exactly the same c. never d. non of the aboveFor the Robinson-Crusoe economy with one input and two outputs, provide a short essay in which you explain why a Walrasian Equilibrium Allocation exists and what properties it has.The allocation where D1, D2, D3, D4, and D8 consume and S1, S2, S3, S4, and S5 sell is not Pareto efficient because... (hint: you can prove that an allocation is not Pareto Efficient by showing that there's a better way to allocate the widget. Which of the following choices is better (more efficient) than the proposed allocation where D1, D2, D3, D4, and D8 consume and S1, S2, S3, S4, and S5 sell?) Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure.