Consider a setting of two competing firms F1 and F2. Both firms maximize their profits and provide a homogeneous ouput q; with (i = 1, 2) at market price p. Assume market clearing prices and non-negative outputs. Assume further, that the firms engage in quantity competition. The inverse market demand function is: p(q) = 41 – q, where q = q1 + 92 The cost functions are: C1 = 2q1, C2 = % Assume F2 is the dominant firm. a) Should F2 prefer to play Cournot duopoly or Stackelberg competition in a one shot game?

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter15: Imperfect Competition
Section: Chapter Questions
Problem 15.4P
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Consider a setting of two competing firms F1 and F2. Both firms maximize their profits
and provide a homogeneous ouput qi with (i = 1, 2) at market price p. Assume market
clearing prices and non-negative outputs. Assume further, that the firms engage in
quantity competition.
The inverse market demand function is: p(q) = 41 – q, where q = q1 + 92
The cost functions are: C1 = 2q1, C2 = %
Assume F2 is the dominant firm.
a) Should F2 prefer to play Cournot duopoly or Stackelberg competition in a one shot
game?
Transcribed Image Text:Consider a setting of two competing firms F1 and F2. Both firms maximize their profits and provide a homogeneous ouput qi with (i = 1, 2) at market price p. Assume market clearing prices and non-negative outputs. Assume further, that the firms engage in quantity competition. The inverse market demand function is: p(q) = 41 – q, where q = q1 + 92 The cost functions are: C1 = 2q1, C2 = % Assume F2 is the dominant firm. a) Should F2 prefer to play Cournot duopoly or Stackelberg competition in a one shot game?
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