Anna and Bess are assigned to write a joint paper within a 24-hour period about the Pareto optimal provision of public goods. Let A denote the number of hours that Anna contributes to the project and B the number of hours that Bess contributes. The numeric grade that Anna and Bess earn is a function, 23 In(A + B), of the total number of hours that they contribute to the project. If Anna contributes tA, then she has (24 - A) hours in the day for leisure. Anna's utility function is UA = 23 In(A + B) + In(24 - A); and Bess' utility function is UB = 23 In(A + B) + In(24 - B). If they choose the hours to contribute simultaneously and independently, what is the Nash equilibrium number of hours that each will provide? What is the number of hours each should contribute to the project that maximizes the sum of their utilities?

Anna and Bess are assigned to write a joint paper within a 24-hour period about the Pareto optimal provision of public goods. Let A denote the number of hours that Anna contributes to the project and B the number of hours that Bess contributes. The numeric grade that Anna and Bess earn is a function, 23 In(A + B), of the total number of hours that they contribute to the project. If Anna contributes tA, then she has (24 - A) hours in the day for leisure. Anna's utility function is UA = 23 In(A + B) + In(24 - A); and Bess' utility function is UB = 23 In(A + B) + In(24 - B). If they choose the hours to contribute simultaneously and independently, what is the Nash equilibrium number of hours that each will provide? What is the number of hours each should contribute to the project that maximizes the sum of their utilities?

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

See similar textbooks

Similar questions

Larry is opening a new laundromat in the city of St. John's. His rent is $1500 per month, and he pays insurance of $1200 per year. Before opening, he had to pay $15,000 to renovate the space and buy appropriate equipment. He hired 2 employees, and pays them a salary of $40,000 per year. For every 6 items of clothing that he cleans, he pays out approximately $15 in cleaning chemicals. Additionally, the plastic covers he uses for the clothes he cleans cost $0.50 each, and he spends approximately $10 in additional hydro costs for every 30 items he cleans. What are Larry's total monthly fixed costs, one-time fixed costs, and variable costs? Assume that the clothes Larry cleans have an average selling price of approximately $25. What is Larry's breakeven for year 1 in units?
Two events, A and B, are such that P(A∪B) = 0.86, P(B) = 0.72 and P(A) = 64. Determine P (A U B)'
The dung beetle gets utility from consuming mud balls which are made out of mud and dung. Both inputs are measured in grams and perfectly divisible. Its utility from balls which contain m grams of mud and d grams of dung is u(m, d) = md. For reasons to do with the structural integrity of the balls, however, it cannot combine the two ingredients in very different quantities. The ratio of mud and dung it uses must fall between 1 : 2 and 2 : 1. Excess amounts of either ingredient are discarded at no cost to the dung beetle. (a) How much utility does the beetle get from the following bundles of mud and dung, (m, d)? i. (2,16). ii. (4,8). iii. (4,16). iv. (6,16/3). (b) Draw an indifference curve between mud and dung that represent the preferences of the dung beetle and gives the beetle a utility level of 32.
Question Solve the following maximization problem graphically. P(x, y) = 16+ x + 4y; subject to: Provide your answer below: f(x)= 4x + 6y≤ 72 4x + 2y 2 24 x > 3 y> 4
Apply the various principles of choice (dominance, Laplace, Minimax, Hurwicz, and Minimax Regret) to the following matrix. The numbers in the matrix are costs.
Suppose that a surfboard designer owns a building and is renting part of the building's space to a doctor. Further suppose that because the surfboard designer is the owner, he has the right to make noise during the day while he sands the boards. While the doctor cannot insist on a quiet environment, the doctor could move to a quieter building. However, rent in the next best building is $400/month more than rent in the noisy building. The surfboard designer can adopt a new technology that eliminates the noise for $325/month. Given this situation, can the doctor find a private solution with the surfboard designer that will make both better off? What is the minimum and maximum payment the doctor would make to the surfboard designer to get the doctor to install the noise-reducing equipment? NOTE: Round your answers to the nearest dollar. Minimum: $ Maximum: $
2ii
A cookshop hires two chefs. The workload, equipment and materials are evenly distributed. The result is a significant increase in the marginal number of lunch dishes made daily. Then 2 more chefs are hired. Now the workload per chef is lessened and there are conflicts over the use of materials and equipment. There is still an increase in the marginal number of lunch dishes made daily, but the increase occurs at a slower rate than before. This is an example of:
Mary is a corn farmer in Iowa. If she does not irrigate his field, she can produce 120 bushels of corn per acre. If she applies 4 inches of irrigation water, she can produce 140 bushels of corn per acre. The application of 8, 12, and 16 inches of irrigation water can result in 160, 180, and 200 bushels of corn per acre, respectively. Graph the relationship between the amount of water applied and corn yield for Mary (Assume a straight-line relationship). Find and interpret the slope and Y intercept
A local college is deciding whether to conduct a campus beautification initiative that would involve various projects, such as planting trees and remodeling buildings, to make the campus more aesthetically pleasing. For the students of the college, the visual appearance of the campus is be classified as a public good. and The benefit of the beautification initiative, as suggested by the survey, is $ cost, the college administrators Suppose the college administrators estimate that the beautification initiative will cost $41,230. To decide whether the initiative should be undertaken, administrators conduct a survey of the college's 1,750 students, asking each of them their willingness to pay for the beautification project. The average willingness to pay, as revealed by the survey, is $18. Thus, the visual appearance would ▼ undertake the beautification initiative. Because the estimated benefit is than the The calculation of the benefit of the beautification initiative relied on the…
10 upvotes fast
Q16 Pareto optimality refers to the maximum efficient allocation of economic resources such that there is no way that one's wealth another person worse off: this statement is choices - irrelevant -conditionally true -always true -always false