P, = 100-Q,- BQ2 P2= 100- BQ, - Q2 BR1: Q, = 25-2Q2 4 BR2: Q2 = 25- 4 (Product Differentiation Problem) In the case when beta=1, solve for Nash equilibrium and profits. O Q', = 100, Firm 1 profits = 2800 Q2=100, Firm 2 profits = 2800 O Q; = 100, Firm 1 profits = 0 Q2= 100, Firm 2 profits 0 O Q', = 50, Firm 1 profits = 280 Q'2=50, Firm 2 profits = 280 O Q', = 25, Firm 1 profits = 1200 Q'2= 25, Firm 2 profits = 1200

ENGR.ECONOMIC ANALYSIS
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Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
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P, = 100-Q1 - BQ2
P2= 100- BQ1-Q2
Q1 Q,
5-40.
BR;:
= 25–
BR2: Q2
= 25–
4
(Product Differentiation Problem) In the case when beta=1, solve for Nash equilibrium and profits.
O Q', = 100, Firm 1 profits = 2800
Q'2 = 100, Firm 2 profits = 2800
O Q, = 100, Firm 1 profits = 0
Q'2 = 100, Firm 2 profits = 0
O Q', = 50, Firm 1 profits = 280
Q2= 50, Firm 2 profits = 280
O Q', = 25, Firm 1 profits = 1200
Q'2= 25, Firm 2 profits = 1200
Transcribed Image Text:P, = 100-Q1 - BQ2 P2= 100- BQ1-Q2 Q1 Q, 5-40. BR;: = 25– BR2: Q2 = 25– 4 (Product Differentiation Problem) In the case when beta=1, solve for Nash equilibrium and profits. O Q', = 100, Firm 1 profits = 2800 Q'2 = 100, Firm 2 profits = 2800 O Q, = 100, Firm 1 profits = 0 Q'2 = 100, Firm 2 profits = 0 O Q', = 50, Firm 1 profits = 280 Q2= 50, Firm 2 profits = 280 O Q', = 25, Firm 1 profits = 1200 Q'2= 25, Firm 2 profits = 1200
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