Consider a duopolistic market in which the two identical firms compete by selecting their quantities. The inverse market demand is P(Q) = 210−Q and each firm has a marginal cost of ​$15 per unit. Assume that fixed costs are negligible for both firms. Cournot Model Determine the​ Nash-Cournot equilibrium for this market.​(Enter your responses rounded to two decimal​ places.) Firm​ 1's quantity: q1= ? units. Firm​ 2's quantity: q2 = ? units.   Market​ price: P=​ ? Stackelberg Model Determine the​ Nash-Stackelberg equilibrium for this​ market, assuming that Firm 1 is the Stackelberg leader.  ​(Enter your responses rounded to two decimal​ places.) Firm​ 1's quantity: q1 = ? units Firm 2s​ quantity: q2 = ? units. Market​ price: P = ?​

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter15: Imperfect Competition
Section: Chapter Questions
Problem 15.5P
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Consider a duopolistic market in which the two identical firms compete by selecting their quantities. The inverse market demand is

P(Q) = 210−Q and each firm has a marginal cost of ​$15 per unit. Assume that fixed costs are negligible for both firms.

Cournot Model

Determine the​ Nash-Cournot equilibrium for this market.​(Enter your responses rounded to two decimal​ places.)

Firm​ 1's quantity: q1= ? units.

Firm​ 2's quantity: q2 = ? units.  

Market​ priceP=​ ?

Stackelberg Model

Determine the​ Nash-Stackelberg equilibrium for this​ market, assuming that Firm 1 is the Stackelberg leader.  ​(Enter your responses rounded to two decimal​ places.)

Firm​ 1's quantity: q= ? units

Firm 2s​ quantity: q2 = ? units.

Market​ price: P = ?​

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