ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN: 9780190931919
Author: NEWNAN
Publisher: Oxford University Press
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- Consider an exchange economy with two consumers (A and B) and two goods (x1 and x2). Consumer A has an endowment of 5 units of x1 and none of x2, whereas Consumer B has an endowment of 3 units of x1 and 15 units of x2. Consumer A's utility function is given by uA=xA1xA2, and Consumer B's utility function is given by uB=min{xB1,xB2}. Both goods are traded in competitive markets. Find the competitive equilibrium price for x2, assuming p1=1.arrow_forwardIn an exchange economy, there are two agents, A and B, and there are 560.00 total units of x and 560.00 total units of y. The two consumers have utility functions u(x, y) = x²y and u³ (x, y) = xy, respectively. Assume the initial endowments are wд = (504.00, 56.00) and wB = (56.00, 504.00). Let p be the price of good y, and let the price of good x be 1. The competitive equilibrium value of p is answer to the nearest two decimals if needed.) (Round yourarrow_forward!arrow_forward
- QUESTION 1 Alice (A) and Bob (B) have an endowment of goods 1 and 2, with Alice's endowment being (wt, w) = (1,2) and Bob's endowment equals (wf , w) = (1,3). Alice's utility is given by u4 (xf, xf) = 2 ln xf + In æ£ , while Bob's utility is uB(xf, x}) = ln xf + 2 ln x? . Suppose that the social planner considers it to be imperative that agent B consumes exactly one uni of good 1 and four units of good 2. Although the social planner can not force the individuals to a particular consumption, they can enforce transfers of good 1 between the consumers (transfers of good 2 are not enforceable by the social planner). What transfer of good 1 would guarantee that in the resulting competitive Walrasian equilibrium consumer B consumes one unit of good 1 and four units of good 2? Answer this please Select one: O a. One half unit of good 1 has to be transferred from agent A to agent B. O b. There is no endowment for which agent B would consume x = 1 and x = 4 in the corresponding competitive…arrow_forwardCooperative Games - Game Theoryarrow_forwardDon't use Aiarrow_forward
- 11arrow_forwardIn an exchange economy, two agents have utility functions u^(x, y) = x2 y and u"(x, y) = x · y, respectively, from x units of Good 1 and y units of Good 2. Assume the initial endowments are w A = (@A.1,2) and oB = (32,40), respectively. Suppose that an equilibrium is found in which the prices of the good are equal (that is, Pi = P2, i.e., the relative price is 1). If WA.1 = 60, then wA.2 %3Darrow_forwardGive step by step answer with final answerarrow_forward
- Suppose that Romeo in Problem 8 has the utility function U= S° RS2, and Juliet has the utility function U= S2RS5, where SRis Romeo's spaghetti consumption and Sj is Juliet's. They have 42 units of spaghetti to divide between them. Juliet would want to give Romeo some spaghetti if she has more than 28 a) units. Romeo would want to give Juliet some spaghetti if he has more than 26 units of spaghetti. C) Romeo and Juliet would never disagree about how to divide the spaghetti. d) Romeo would want to give Juliet some spaghetti if he had more than 21 units of spaghetti. Juliet would want to give Romeo some spaghetti if she has more than 30 units e) of spaghetti.arrow_forwardMaipo and Pisco need to decide how to divide a cake between the two of them. Both like cake and want to get as much cake as they can. They decide to let Maipo cut the cake first and then Pisco gets to pick which piece he wants. For simplicity, assume that Maipo can only cut the cake in two ways: He can either divide it into two pieces that are equal size (i.e., both will get half the cake) or he can divide the cake into two pieces where one piece is twice the size of the other (i.e., one will get a piece that is two-thirds of the cake and the other will get a piece that is one-third of the cake). a. Set up this game as a sequential game and draw the game tree that represents it Note: You can either draw the game tree by hand and then photograph/scan the tree and paste it into the assignment or use the drawing tool in Word to draw the tree. b. Find the sub-game perfect Nash Equilibria to this game. Underline the strategies or highlight the game tree path to show what the Nash Equilibria…arrow_forward2arrow_forward
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