Suppose two firms compete as Cournot Oligopolists. The profit functions of these two firms are IT = (150 – 91 - 92)91 – 20q1 T2 = (150 – 91 – 92)92 – 2292 Which generate the following best response functions. 150 – 20 1 91 = 2 150 – 20 1 92 = 2 a. Plot these reaction functions in a graph with q, on the horizontal axis and q, on the vertical axis. b. Derive, I want to see your work, the Nash equilibrium outcome of this game. c. How does the Nash equilibrium change if the demand curve shifts out, a bigger intercept on the demand equation.
Suppose two firms compete as Cournot Oligopolists. The profit functions of these two firms are IT = (150 – 91 - 92)91 – 20q1 T2 = (150 – 91 – 92)92 – 2292 Which generate the following best response functions. 150 – 20 1 91 = 2 150 – 20 1 92 = 2 a. Plot these reaction functions in a graph with q, on the horizontal axis and q, on the vertical axis. b. Derive, I want to see your work, the Nash equilibrium outcome of this game. c. How does the Nash equilibrium change if the demand curve shifts out, a bigger intercept on the demand equation.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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option c
![Suppose two firms compete as Cournot Oligopolists. The profit
functions of these two firms are
п — (150 — q —92)91 — 209,
T2 = (150 – 91 – 92)92 – 2292
Which generate the following best response functions.
150 – 20 1
91 =
2
150 – 20 1
92 =
2
a. Plot these reaction functions in a graph with q, on the horizontal axis
and q, on the vertical axis.
b. Derive, I want to see your work, the Nash equilibrium outcome of
this game.
c. How does the Nash equilibrium change if the demand curve shifts out,
a bigger intercept on the demand equation.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F16253a61-a7b9-445c-afe4-0a0f8de3dbac%2Fdb237f65-e34a-45b8-ba94-f7f42cbb0bd8%2Favsqkid_processed.png&w=3840&q=75)
Transcribed Image Text:Suppose two firms compete as Cournot Oligopolists. The profit
functions of these two firms are
п — (150 — q —92)91 — 209,
T2 = (150 – 91 – 92)92 – 2292
Which generate the following best response functions.
150 – 20 1
91 =
2
150 – 20 1
92 =
2
a. Plot these reaction functions in a graph with q, on the horizontal axis
and q, on the vertical axis.
b. Derive, I want to see your work, the Nash equilibrium outcome of
this game.
c. How does the Nash equilibrium change if the demand curve shifts out,
a bigger intercept on the demand equation.
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