Consider an economy with 1,000 people and two goods, one private and one public. The people all have the same utility function Ui(Xi, G) = Xi – 100/G , where Xi is the quantity of the private good consumed by person i and G is the quantity of the public good. The price of the private good

Consider an economy with 1,000 people and two goods, one private and one public. The people all have the same utility function Ui(Xi, G) = Xi – 100/G , where Xi is the quantity of the private good consumed by person i and G is the quantity of the public good. The price of the private good

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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Problem 1: Exchange economy Consider an exchange economy with two consumers, A and B, and two goods, X and Y. Consumer A has an initial endowment TA = i >0 of good X, an initial endowment yA = 0 of good Y, and preferences over consumption bundles that can be represented by the Cobb-Douglas utility function uA(TA: YA) = ", where ra is the quantity of good X, yYA is the quantity of good Y, and a € (0, 1) is a preference parameter. Consumer B has an initial endowment ig = 0 of good X, an initial endow- ment js = j > 0 of good Y, and preferences over consumption bundles that can be represented by the Cobb-Douglas utility function up(rB, YB): B1-3 where rB is the quantity of good X, YB is the quantity of good Y, and BE (0, 1) is a preference parameter. (a) Find the set of Pareto optimal allocations in this economy. In appro- priate diagrams, illustrate the set of Pareto optimal allocations when (i) 3 = a, (ii) 3 > a, and (iii) 3 a.
Suppose two bars, “the Last Jar” and “Prince Alfred”, can choose to sell a pint of beer for either $10 or $12. For simplicity, assume that: these are the only two possible prices; there are no costs (e.g., there is no cost for obtaining and serving the beer), and each customer drinks exactly one pint of beer. There are two types of customers: professors and students. Professors are not price-sensitive and go to the bar closest to their department’s building. Thus, 50 professors from the Melbourne School of Engineering go to Prince Alfred, while 50 professors from the Melbourne Graduate School of Education go to the Last Jar. Meanwhile, the students, who are 200 in total, are price sensitive. They go to the bar with the lowest price –or, if both bars charge the same price, then they split evenly. Sequential game: a) Suppose the Last Jar chooses what price to set first. Then, after observing the price set by the Last Jar, Price Alfred chooses what price to set. Draw the extensive form…
Benny and Danny live next to each other in a student resident building on campus. Benny is a metal-head (likes loud heavy metal music) and Danny is a bookworm (likes a quiet environment to study). From rocking out to heavy metal, Benny gets a benefit of $100. When Benny’s music is playing Danny suffers a cost of $175. Suppose Benny is given the right to listen to his music. [9] According to the Coase Theorem, describe the transaction, if any, that will be made between Benny and Danny.
Suppose there are two consumers A and B, and two goods x and y. A's utility function has the following form UA = XA - (XB)1. Which of the following is true? Consumer A's consumption of good x exhibits a negative externality. Consumer A's consumption of good x exhibits a positive externality. Consumer B's consumption of good x exhibits a negative externality. Consumer B's consumption of good x exhibits a positive externality.
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Anna and Bob are the only residents of a small town. The town currently funds its fire department solely from the individual contributions of these two residents. Each of the two residents has a utility function over private goods x and total number of firemen M, of the form: u(x, M) M = M4 + M². Ann and Bob both have income of 200 each, and the price of both the private good and a fireman is 1. They are limited to = 2 In x + In M. The total provision of firemen hired, M, is the sum of the number hired by each of the two persons: providing between 0 and 200 firemen. For the purposes of this problem, you can treat the number of firemen as a continuous variable (it could be man-years). How many firemen are hired if the government does not intervene?
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