Question 1: The following is the game of fighting entry. A new firm, referred to as the entrant, has to decide whether to enter the market or not. An established firm, referred to as firm 1, has then to decide given the actions of the new firm whether to lower the price (and hence fight the entrant) or keep its price high. The payoffs to each are shown below Entrant Enter Do not Enter a. Represent the game in extensive form. b. High price 60, 60 0, 100 Firm 1 Low price 0,0 0,0 Find the subgame perfect Nash equilibrium c. What can you say about the potential for firm 1 to fight the entrant? Firm 1 threatens to lower price if the entrant enters. What do you think of this threat?

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter8: Game Theory
Section: Chapter Questions
Problem 8.9P
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Econ301
Entrant
Practice Sheet- Games
Question 1: The following is the game of fighting entry. A new firm, referred to as the entrant,
has to decide whether to enter the market or not. An established firm, referred to as firm 1, has
then to decide given the actions of the new firm whether to lower the price (and hence fight the
entrant) or keep its price high. The payoffs to each are shown below
Enter
Do not Enter
High price
60, 60
0, 100
Prot Ahmed
Firm 1
Low price
0,0
0,0
a. Represent the game in extensive form.
b.
Find the subgame perfect Nash equilibrium
c. What can you say about the potential for firm 1 to fight the entrant? Firm 1 threatens to
lower price if the entrant enters. What do you think of this threat?
Transcribed Image Text:Econ301 Entrant Practice Sheet- Games Question 1: The following is the game of fighting entry. A new firm, referred to as the entrant, has to decide whether to enter the market or not. An established firm, referred to as firm 1, has then to decide given the actions of the new firm whether to lower the price (and hence fight the entrant) or keep its price high. The payoffs to each are shown below Enter Do not Enter High price 60, 60 0, 100 Prot Ahmed Firm 1 Low price 0,0 0,0 a. Represent the game in extensive form. b. Find the subgame perfect Nash equilibrium c. What can you say about the potential for firm 1 to fight the entrant? Firm 1 threatens to lower price if the entrant enters. What do you think of this threat?
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