Let us consider a market where 10 firms l= {1,2,..,10} compete à la Cournot (quantity- setting competition). The inverse demand function is given by p( Q) =1200-18Q , where Q= Eiqi. The cost function is homogeneous and it is C( q) =10q. 1.the profit functions of eachiEl is: 2.Derive the best reply functions for each firm 3.Derive the market price in the Nash equilibrium of the game.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter15: Imperfect Competition
Section: Chapter Questions
Problem 15.4P
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Let us consider a market where 10 firms I=
{1,2,.,10} compete à la Cournot (quantity-
setting competition). The inverse demand
function is given by p( Q) =1200-18Q , where
Q= Eiqi. The cost function is homogeneous
and it is C( q ) =10q.
1.the profit functions of eachiEl is:
2.Derive the best reply functions for each firm
3.Derive the market price in the Nash
equilibrium of the game.
4. The market price in the Nash equilibrium of
the game is:
Transcribed Image Text:Let us consider a market where 10 firms I= {1,2,.,10} compete à la Cournot (quantity- setting competition). The inverse demand function is given by p( Q) =1200-18Q , where Q= Eiqi. The cost function is homogeneous and it is C( q ) =10q. 1.the profit functions of eachiEl is: 2.Derive the best reply functions for each firm 3.Derive the market price in the Nash equilibrium of the game. 4. The market price in the Nash equilibrium of the game is:
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