Consider two firms that produce identical products in a situation of duopoly. The two firms have the same marginal cost. Which of the following statements is true: O Under Cournot competition, the equilibrium price is lower than the equilibrium price under Bertrand competition O Under Cournot competition, the equilibrium price will be at the same level as the equilibrium price under perfect competition O Under Cournot competition, the equilibrium price will be at the same level as the price under a monopoly O Under Bertrand competition, the equilibrium price will be at the same level as the equilibrium price under perfect competition O The two firms will end up producing different levels of output

Coke and Pepsi dominate the cola market. Suppose that the marginal cost of making cola is $2. Assume also that the demand for cola is given by the following table: Price $8 7 6 5 4 3 2 1 Quantity 5 cans 6 7 8 9 10 11 12 Suppose Coke and Pepsi both supply cola. They form a cartel and agree to cooperate on how much soda to produce. In this cartel case, how many bottles of cola would be sold? Type your answer...

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6. Suppose that identical duopoly firms have constant marginal costs of $10 per unit. Firm 1 faces a demand function of q1 = 100– 2p1+p2, where q1 is Firm l's output, pi is Firm l's price, and p2 is Firm 2's price. Similarly, the demand Firm 2 faces is q2 = 100– 2p2+P1. Solve for the NE.

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Consider a duopoly market with 2 firms. Aggregate demand in this market is given byt Q = 500 – P, where P is the price on the market. Q is total market output, i.e., Q = QA + QB, where QA is the output by Firm A and QB is the output by Firm B. For both firms, marginal cost is given by MC = 20, i=A,B. « Assume the firms compete a la Cournot. e a) Find the inverse demand in this market. Note that marginal revenue for both firms is given by MRA=500-2QA-QB, MRB=500-QA-2QB. b) Describe what a best-response curve is and how to find it. c) Derive the best-response function for each firm. d) What are the equilibrium quantities? e) What is the total quantity supplied on this market? f) What is the equilibrium price in this market?

2.- Each of two firms, firms 1 and 2, has a cost function C(q) = 1 2 q; the demand function for the firms' output is Q = 1.5-p, where Q is the total output. Firms compete in prices. That is, firms choose simultaneously what price they charge. Consumers will buy from the firm offering the lowest price. In case of tying, firms split equally the demand at the (common) price. The firm that charges the higher price sells nothing. (Bertrand model.) (a) Formally argue that there could be no equilibrium in prices other than p1 = p2 = 1 2. (b) Solve the same problem, but this time assuming that firms compete in quantities.Now, suppose that firm 1 has a capacity constraint of 1/3. That is, no matter what demand it gets, it can serve at most 1/3 units. Suppose that these units are served to the consumers who are willing to pay the most. Thus, even if it sets a price above that of firm 1, firm 2 may be able to sell some output. (c) Obtain the (residual) demand of firm 2 (as a function of its own…