uppose that the market demand for a certain product is given by P=370−2QP=370−2Q, where QQ is total industry output. There are only two firms F1,F2 that manufacture that product. The two firms have the following marginal costs: c1=24 and c2=26 a) Determine the output levels  that will be produced in a Cournot-Nash equilibrium q1= q2= the price level in such an equilibrium P= and the profit levels u1= u2=   b) Determine the output levels  that will be produced in a Stackelberg-Nash equilibrium (consider F1F1 is the leader and  F2F2 is the follower)

Microeconomic Theory
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Author:NICHOLSON
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Chapter15: Imperfect Competition
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Problem 15.4P
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uppose that the market demand for a certain product is given by P=370−2QP=370−2Q, where QQ is total industry output. There are only two firms F1,F2 that manufacture that product. The two firms have the following marginal costs: c1=24 and c2=26

a) Determine the output levels  that will be produced in a Cournot-Nash equilibrium

q1=

q2=

the price level in such an equilibrium

P=

and the profit levels

u1=

u2=

 

b) Determine the output levels  that will be produced in a Stackelberg-Nash equilibrium (consider F1F1 is the leader and  F2F2 is the follower)

q1S=

q2S=

the price level in such an equilibrium

PS=

and the profit levels

uS1=

uS2=

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