(6) For each situation, solve for the Cournot-Nash equilibrium (Capacity Constraints) 6a) Suppose Sarah's constant marginal cost is $5 but Joe's is $8. Recall that in a Cournot model, products are homogeneous. So each supplier faces the same aggregate demand function: P(Q) = 20 – 0.1 Q where Q = Qjoe + Qsarah %3D 6b) Suppose Joe and Sarah have the same cost functions as earlier (constant MC of $5) but market inverse demand is now P(Q) = 30 – 0.2Q
(6) For each situation, solve for the Cournot-Nash equilibrium (Capacity Constraints) 6a) Suppose Sarah's constant marginal cost is $5 but Joe's is $8. Recall that in a Cournot model, products are homogeneous. So each supplier faces the same aggregate demand function: P(Q) = 20 – 0.1 Q where Q = Qjoe + Qsarah %3D 6b) Suppose Joe and Sarah have the same cost functions as earlier (constant MC of $5) but market inverse demand is now P(Q) = 30 – 0.2Q
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
Related questions
Question
A and B
![(6) For each situation, solve for the Cournot-Nash equilibrium (Capacity
Constraints)
6a) Suppose Sarah’s constant marginal cost is $5 but Joe's is $8.
Recall that in a Cournot model, products are homogeneous. So each supplier faces the
same aggregate demand function:
P(Q) = 20 – 0.1 Q
where Q = Qjoe + Qsarah
%3D
6b) Suppose Joe and Sarah have the same cost functions as earlier (constant MC of
$5) but market inverse demand is now P(Q) = 30 – 0.2Q](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1e99b076-d7ba-4bd3-9136-e67d6db3098b%2F36655ba2-6640-4084-b359-eac0f4e139ec%2Fwtkobac_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(6) For each situation, solve for the Cournot-Nash equilibrium (Capacity
Constraints)
6a) Suppose Sarah’s constant marginal cost is $5 but Joe's is $8.
Recall that in a Cournot model, products are homogeneous. So each supplier faces the
same aggregate demand function:
P(Q) = 20 – 0.1 Q
where Q = Qjoe + Qsarah
%3D
6b) Suppose Joe and Sarah have the same cost functions as earlier (constant MC of
$5) but market inverse demand is now P(Q) = 30 – 0.2Q
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