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Problem on inverse demand curves

In differentiated-goods duopoly business, with inverse demand curves:

P1 = 10 – 5Q1 – 2Q2
P2 = 10 – 5Q2 – 2Q1

and per unit costs for each and every firm equal to 1.

a) For a Cournot game - recommend Firm 1’s best response function? Determine the Nash equilibrium?

b) For a Stackelburg game - what is the Firm 1’s best response function? Determine the Nash equilibrium?

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