1.3. Incomplete information. There are two firms competing on price. They sell different commodities, so their demands are D₁ (P1, P2) = 10 - 2p₁ + ¹/2p2 D₂(P1, P2) = 13+ p1 - 3p2. They move simultaneously. Both produce the commodity with linear cost functions. Firm 1 has marginal cost 2. This is known to both firms. Firm 2 can be of two types:

Microeconomic Theory
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ISBN:9781337517942
Author:NICHOLSON
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Chapter15: Imperfect Competition
Section: Chapter Questions
Problem 15.4P
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1.3. Incomplete information. There are two firms competing on price. They sell
different commodities, so their demands are
D₁ (P1, P2)
D2 (P1, P2)
=
-
10-2p1 + ¹/2p2
13+ p₁-3p2.
They move simultaneously. Both produce the commodity with linear cost functions.
Firm 1 has marginal cost 2. This is known to both firms. Firm 2 can be of two types:
either it has marginal cost 1 or it has marginal cost 4, with equal probability. Firm
2 knows its type, but firm 1 does not know firm 2's type. Find the equilibrium.
Transcribed Image Text:1.3. Incomplete information. There are two firms competing on price. They sell different commodities, so their demands are D₁ (P1, P2) D2 (P1, P2) = - 10-2p1 + ¹/2p2 13+ p₁-3p2. They move simultaneously. Both produce the commodity with linear cost functions. Firm 1 has marginal cost 2. This is known to both firms. Firm 2 can be of two types: either it has marginal cost 1 or it has marginal cost 4, with equal probability. Firm 2 knows its type, but firm 1 does not know firm 2's type. Find the equilibrium.
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