Consider a market where demand is given by P = 100 - Q. а. Suppose a monopolist with marginal cost equal to 10 supplies the market, find the equilibrium quantity price and profits for the monopolist. b. I Suppose now that two firms who compete via Cournot competition supply the market. They each have marginal cost equal to 10. Find the equilibrium quantity price and profits for each firm. с. Consider a simultaneous move game where the strategies for each firm is to produce according to their best response function in the Cournot equilibrium or half the monopoly quantity. Construct the payoff matrix for this game and find the Nash Equilibrium. Are the firms happy with this outcome, that is by playing other strategies could both firms do better than in the Nash Equilibrium?

Microeconomic Theory
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ISBN:9781337517942
Author:NICHOLSON
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Chapter15: Imperfect Competition
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Problem 15.6P
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4. Consider a market where demand is given by P = 100 - Q.
Suppose a monopolist with marginal cost equal to 10 supplies the market, find
а.
the equilibrium quantity price and profits for the monopolist.
b.
Suppose now that two firms who compete via Cournot competition supply the
market. They each have marginal cost equal to 10. Find the equilibrium quantity price
and profits for each firm.
Consider a simultaneous move game where the strategies for each firm is to
produce according to their best response function in the Cournot equilibrium or half the
monopoly quantity. Construct the payoff matrix for this game and find the Nash
Equilibrium. Are the firms happy with this outcome, that is by playing other strategies
could both firms do better than in the Nash Equilibrium?
Transcribed Image Text:4. Consider a market where demand is given by P = 100 - Q. Suppose a monopolist with marginal cost equal to 10 supplies the market, find а. the equilibrium quantity price and profits for the monopolist. b. Suppose now that two firms who compete via Cournot competition supply the market. They each have marginal cost equal to 10. Find the equilibrium quantity price and profits for each firm. Consider a simultaneous move game where the strategies for each firm is to produce according to their best response function in the Cournot equilibrium or half the monopoly quantity. Construct the payoff matrix for this game and find the Nash Equilibrium. Are the firms happy with this outcome, that is by playing other strategies could both firms do better than in the Nash Equilibrium?
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