Consider two firms who compete with each other in terms of quantity. If the inverse market demand and total costs of the firms are given by P = 140 – Q TC = 20q, + 10 TC2 = 20q1 + 10 a. Find the Response (Reaction) functions of each curve b. Find the Nash Equilibrium of this Cournot duopoly game c. Graphically represent this equilibrium using their Response (Reaction) curves d. Suppose these two firms collude and form a cartel, what will the equilibrium be under this situation Is the equilibrium under (d) sustainable or not and why? f. Suppose that both firms have agreed that firm 1 is a leader and firm 2 is a follower, find the Nash equilibrium of this sequential game e.

Exploring Economics
8th Edition
ISBN:9781544336329
Author:Robert L. Sexton
Publisher:Robert L. Sexton
Chapter15: Oligopoly And Strategic Behavior
Section: Chapter Questions
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Consider two firms who compete with each other in terms of quantity. If the inverse market
demand and total costs of the firms are given by
P = 140 – Q
TC, = 20q, + 10
TC2 = 20q1 + 10
a. Find the Response (Reaction) functions of each curve
b. Find the Nash Equilibrium of this Cournot duopoly game
c. Graphically represent this equilibrium using their Response (Reaction) curves
d. Suppose these two firms collude and form a cartel, what will the equilibrium be under this
situation
e. Is the equilibrium under (d) sustainable or not and why?
f. Suppose that both firms have agreed that firm 1 is a leader and firm 2 is a follower, find
the Nash equilibrium of this sequential game
Transcribed Image Text:Consider two firms who compete with each other in terms of quantity. If the inverse market demand and total costs of the firms are given by P = 140 – Q TC, = 20q, + 10 TC2 = 20q1 + 10 a. Find the Response (Reaction) functions of each curve b. Find the Nash Equilibrium of this Cournot duopoly game c. Graphically represent this equilibrium using their Response (Reaction) curves d. Suppose these two firms collude and form a cartel, what will the equilibrium be under this situation e. Is the equilibrium under (d) sustainable or not and why? f. Suppose that both firms have agreed that firm 1 is a leader and firm 2 is a follower, find the Nash equilibrium of this sequential game
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