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Two firms, A and B, engage in Bertrand price competition in a market with inverse demand given by P = 12 - Q. Firm A has a higher marginal cost: cA > cB . Whenever a firm undercuts the rival’s price, it has all the market. If a firm charges the same price as the rival, it has half of the market. If a firm charges more than the rival, it has zero market share.
(a) Suppose that cA = 8 and cB = 3. Find the Nash equilibrium of this game (pA,pB) where one of the firms charges its marginal cost
(b) Suppose that there are not 2, but n firms with different marginal costs. Any number of firms may also have equal marginal costs. Can we have a marginal cost structure where one firm earns a positive profit? Can we have a marginal cost structure where more than one firm earns a positive profit? Just explain the intuition without the math.
Illustrate that an increase in government spending can improve consumer welfare.
Supply and demand for corn. At $2.13 per bushel, the annual supply for corn in the Midwest is 8.9 billion bushels and the annual demand is 6.5 billion bushels. When the price falls to $1.50 per bushel, the annual supply decreases to 8.2 billion bus..
In an agency relationship, someone agrees to perform a task for, and under the control of, someone else (the principal). An agent is the person who is acting on behalf of the principal in an agency relationship. Identify three (3) types of agency und..
Suppose that Ben has $90 to spend on two goods, movie (M) and hamburger (H). The price of a movie is $10 and the price of a hamburger is $2. Ben’s preferences are represented by the utility function: U(M, H) = M *H^2. What is Ben’s optimal choice bet..
Suppose you own a car wash and that its total cost function is C = 20 + 2Q + .3Q^2 where C = total cost in dollars per hour and Q is the number of cars washed per hour. You receive 5 dollars for each car washed. Derive the firm’s short run supply cur..
The Occupational Safety and Health Administration (OSHA) promulgates safety and health standards. These standards typically apply to machinery (capital), which is required to be equipped with guards, shields, and the like. Analyze the possible employ..
Provide a graph and explanation of the Argentine crisis of 2001-2002. Include a discussion of the “vicious circle” into which Argentina descended as it defended its peg to the US$, including the role of the IMF and the government budget deficits. Why..
A container contains 36 light bulbs, four of which are defective. What is the probability that, if a sample of eight is chosen at random from the carton of bulbs, x will be defective?
Which of the following are factors that shift the demand curve? A. expectations, opportunity costs, price of the product B. costs of production, price of the product, and subsidies C. price of substitutes, tastes, price of complements D. income, popu..
Compute the arc price elasticity of demand for the price of paperback books falling from $7.00 to $6.50, the quantity demanded rises from 100 to 150.
In the two-period intertemporal consumption model, if MRS = C2/(4C1), r= 5%, Y1 = 50 and Y2 = 105, the optimal consumption combination
A firm can produce any quantity of good X with the following cost structure: TC = 450,000 + 20Q, where Q measures units of output. Suppose the profit-maximizing output level you calculated to answer part A is split evenly between two firms, each with..
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