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A single unit of a good is to be sold via an auction. There are two bidders, A and B. They are assumed to be risk-neutral. The seller knows that there are five possible values of willingness to pay, $100, $200, $300, $400 and $500. Bids are also restricted to those values. Suppose A's willingness to pay is $400 whereas B's willingness to pay is $200.
Conisider that the unit is sold via all-pay auction in which ties are broken by a coin flip. In all-pay auction, each bidder has to pay her bid, regardless of winning or losing. Write down the payoff matrix, and find all the pure-strategy Nash equilibria (if any)
Gomez runs a small pottery firm. He hires one helper at $12,000 per year, pays annual rent of $5000 for his shop, and spends $20,000 per year on materials. He has $40,000 of his own funds invested in equipment (pottery wheels, kilns, and so forth)..
Find the marginal utitlity for each chicken piece. What is the meaning of the marginal utitilty of the 11th piece? If the price of chicken pieces is $1.25 each, how many will you buy? If the price falls to $0.50, how many will you buy? Explain carefu..
What is the profit-maximizing number of sheep to own for the 10 farmers Q7. What is your optimal choice if the other 9 farmers choose to own 5 sheep Q8. What is your optimal choice if the other 9 farmers choose to own 6 sheep Q9. What is your opt..
Let a firm's long-run production function be Q= 1/10LK +3L^2K-1/10L^3K Assume that in the short-run the firm's labour input is fixed at 10 units. a) What is the firm's short-run production function? b) What are the short-run average and marginal prod..
Suppose P=20-2Q is the market demand function for a local monopoly. The marginal cost is 2Q. The local monopoly tries to maximize its profits by equating MC= MR and charging a uniform price. What will be the equilibrium price and output
The industry demand function for bulk plastics is represented by the following equation: P=800-20Q Where Q represents millions of pounds of plastic. The total cost function for the industry, exclusive of a required return on invested capital, is TC=3..
Suppose that when a hotel charges $50 per night, 200 rooms are rented and when they charge $75 per room, 150 rooms are rented. Assuming a linear relationship between x, the number of rooms rented and y, the price charged per room.
The "graying of America" will substantially increase the fraction of the population that is retired in the decades to come. To illustrate the implications for U.S. living standards, suppose that over the 49 years following 2009 the share of the p..
Baby boomers can save up to $22,000 per year in a 401k account. If Eileen's starting balance at age 50 is $200,000 and she saves the full amount available to her, how much money will she have saved when she is 65 years old (after 15 years of savin..
In a population Y=100 and Y=43. Use the central limit theorem to answer the following questions a. In a random sample of size n=100, find P(Y or = 98).
Many MBAs who ventured into the "dot.com" world of the late 1990s found themselves unemployed by 2001 as many firms in that industry ceased to exist. However, during their tenure with these companies, these managers gained valuable skills in how t..
You have decided to purchase a small tract of land for building a new home on the outskirts of town. You have some money available but need a loan of $18,000 to make the purchase. The land will be owner-financed over 4 years with end-of-year payme..
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