2. The market demand for a homogeneous good is given by P = 500 – Q, where P is the market price, and Q is the total quanti ty produced of skateboards. There are two firms, A and B that produce the good. The firms have identical total cost functions given by C = 20q. (a) Find the Cournot Nash equilibrium price and quantities produced by each firm. Determine the profits of each firm. (b) If the two firms collude to maximize their joint profits, what is the collusive quantity of each firm? What is the collusive price? Determine the profits of each firm. (c) Following from (b), show that each firm has an incentive to cheat on the collusive outcome. Determine the profits of the cheating firm and the profits of the other firm in this situation. (d) Using your answers from (a), (b), and (c), set up a payoff matrix and show that the oligopoly competitive market structure has the characteristics of a prisoners' dilemma game.

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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2. The market demand for a homogeneous good is given by P = 500 – Q, where P is the market price, and Q is the total quanti ty produced of
skateboards. There are two firms, A and B that produce the good. The firms have identical total cost functions given by C = 20q.
(a) Find the Cournot Nash equilibrium price and quantities produced by each firm. Determine the profits of each firm.
(b) If the two firms collude to maximize their joint profits, what is the collusive quantity of each firm? What is the collusive price? Determine the profits
of each firm.
(c) Following from (b), show that each firm has an incentive to cheat on the collusive outcome. Determine the profits of the cheating firm and the
profits of the other firm in this situation.
(d) Using your answers from (a), (b), and (c), set up a payoff matrix and show that the oligopoly competitive market structure has the characteristics of a
prisoners' dilemma game.
Transcribed Image Text:2. The market demand for a homogeneous good is given by P = 500 – Q, where P is the market price, and Q is the total quanti ty produced of skateboards. There are two firms, A and B that produce the good. The firms have identical total cost functions given by C = 20q. (a) Find the Cournot Nash equilibrium price and quantities produced by each firm. Determine the profits of each firm. (b) If the two firms collude to maximize their joint profits, what is the collusive quantity of each firm? What is the collusive price? Determine the profits of each firm. (c) Following from (b), show that each firm has an incentive to cheat on the collusive outcome. Determine the profits of the cheating firm and the profits of the other firm in this situation. (d) Using your answers from (a), (b), and (c), set up a payoff matrix and show that the oligopoly competitive market structure has the characteristics of a prisoners' dilemma game.
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