Exam 16: Game Theory and Oligopoly

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The merger of two firms producing goods that are complements:

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A particular market is served by two firms. The market demand curve is given by p = 200 - y. Each firm incurs a constant cost per unit of $50. The Cournot reaction function for firm 1 is given by:

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An important weakness of the Bertrand, Collusion, and Cournot models is that they assume the game is:

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Suppose the market has two firms, and market demand is p = 200 - 4y. The cost functions for all firms are C(yi)= 600 + 30yi. The limit output for this market is:

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The inducement to entry is:

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Suppose two firms, A and B, compete as duopolists. Each firm has a marginal cost of $5 and a fixed cost of zero. Market demand for the duopolists' homogeneous product is given by Q = 100 - 2P. i)Suppose that the duopolists behave according to Cournot's model. Find Firm A's reaction function given the output of Firm B, and Firm B's reaction function given the output of Firm A. ii)Compute the Cournot equilibrium quantities for firms A and B. iii)Now suppose that the two firms work together and form a successful cartel. Find the equilibrium price and quantity in the market.

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Market demand is given by P = 15 - Q. There are two firms, each with TC = 0.5qi2. If one firm honors the cartel agreement while the other firm defects, the market price is:

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True/False. Cournot duopolists necessarily produce the same quantity in equilibrium.

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Suppose the demand function in the industry is p = 100 - y and each firm has a constant marginal cost of $40. Suppose there is a monopoly firm and a potential entrant. The output that maximizes the entrant's profit is:

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Suppose the market has two firms, and market demand is p = 200 - 4y. The cost functions for all firms are C(yi)= 600 + 30yi. The Cournot duopoly price is:

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Two firms share a market with demand curve Q=90-0.5P. Each has cost function C(q)=900+q2. Suppose that each firm maximizes its profit taking the other firm's production choice as given. What is the quantity supplied in the market?

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Consider a two- firm industry producing two differentiated products. For simplicity assume that production is costless. Suppose the demand functions for firm 1 and 2's products are given by q1 = a - bp1 + cp2 q2 = a - bp2 + cp1 where pi is the price charged by firm i, i = 1, 2 and b > c. Assume that firms are profit maximizers and simultaneously choose prices. Find the equilibrium level of prices, i)Assuming that the firms cannot collude (they choose prices independently). ii)Assuming that the firms can collude(they can choose prices jointly).

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In the Cournot model:

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The level of output per firm under Nash and Bertrand equilibriums are:

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Suppose the demand function in the industry is p = 100 - y and each firm has a constant marginal cost of $40. Suppose there is a monopoly firm and a potential entrant. The monopoly output is:

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Suppose that a particular market is served by two firms. The market demand curve is given by p = 100 - y. Each firm incurs a constant cost per unit of $20. The Bertrand solution to this duopoly problem is:

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Given an infinitely repeated, collusive oligopoly game, all but which of the following criteria should be met when devising a successful punishment strategy to be used in the event of another player's defection?

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The best collusive outcome occurs when the sum of the firms' output is:

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If two firms that are Cournot competitors merge:

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Experimental evidence indicates that:

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