1. Consider a market with three firms (i = 1, 2, 3), which have identical marginal costs c = c2 = C3 = 0. The inverse demand function is given by p =1- Q, where Q = 91 + 92 + q3. a. Compute the Cournot equilibrium, i.e., the market price and quantity. b. Assume that two of the three firms merge. Show that the profit of merging firms decreases. c. What happens to the market price if all three firms merge compared to part (a)?

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Chapter15: Imperfect Competition
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1. Consider a market with three firms (i = 1, 2, 3), which have identical marginal costs
C = c2 = C3 = 0. The inverse demand function is given by p = 1- Q, where
Q = q1 + 92 + q3.
a. Compute the Cournot equilibrium, i.e., the market price and quantity.
b. Assume that two of the three firms merge. Show that the profit of merging
firms decreases.
c. What happens to the market price if all three firms merge compared to part
(a)?
Transcribed Image Text:1. Consider a market with three firms (i = 1, 2, 3), which have identical marginal costs C = c2 = C3 = 0. The inverse demand function is given by p = 1- Q, where Q = q1 + 92 + q3. a. Compute the Cournot equilibrium, i.e., the market price and quantity. b. Assume that two of the three firms merge. Show that the profit of merging firms decreases. c. What happens to the market price if all three firms merge compared to part (a)?
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