Question 1: Suppose Southwest (S) and JetBlue (J) choose a number of flights, and qj respectively, from Chicago to New York. They both have the same constant arginal cost of 12. For Q = qs + qj, the market demand function for flights is p= 60 – 2Q (1) Suppose the airlines choose quantity simultaneously. Find the Cournot Nash Equilibrium quantities. (2) Suppose the airlines choose price simultaneously. Find the Bertrand Nash Equilibrium. (3) Suppose Southwest and JetBlue collude in the quantities they choose to obtain monopoly profits. Assuming they split the market evenly, what quantity does

Microeconomic Theory
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Chapter15: Imperfect Competition
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Question 1: Suppose Southwest (S) and JetBlue (J) choose a number of flights,
qs and qj respectively, from Chicago to New York. They both have the same constant
marginal cost of 12. For Q = qs + qj, the market demand function for flights is
p = 60 – 2Q
(1) Suppose the airlines choose quantity simultaneously. Find the Cournot Nash
Equilibrium quantities.
(2) Suppose the airlines choose price simultaneously. Find the Bertrand Nash
Equilibrium.
(3) Suppose Southwest and JetBlue collude in the quantities they choose to obtain
monopoly profits. Assuming they split the market evenly, what quantity does
each firm choose?
(4) Suppose Southwest and JetBlue agree in principle to the collusion in Part (4),
but Southwest decides to cheat. What quantity will Southwest choose?
Transcribed Image Text:Question 1: Suppose Southwest (S) and JetBlue (J) choose a number of flights, qs and qj respectively, from Chicago to New York. They both have the same constant marginal cost of 12. For Q = qs + qj, the market demand function for flights is p = 60 – 2Q (1) Suppose the airlines choose quantity simultaneously. Find the Cournot Nash Equilibrium quantities. (2) Suppose the airlines choose price simultaneously. Find the Bertrand Nash Equilibrium. (3) Suppose Southwest and JetBlue collude in the quantities they choose to obtain monopoly profits. Assuming they split the market evenly, what quantity does each firm choose? (4) Suppose Southwest and JetBlue agree in principle to the collusion in Part (4), but Southwest decides to cheat. What quantity will Southwest choose?
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