The Nash equilibrium in stage 1 for firm 1 is _____and for firm 2 is that firm is the leader and firm is the follower. Blank # 1 Blank # 2 ___. This means

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter15: Imperfect Competition
Section: Chapter Questions
Problem 15.4P
icon
Related questions
Question
E2
2
225
(5a + 2c)²
2
(19a - 26c)²
225
1
1568
2
225
(5a + 2c)²
112 (5a-7c)²
2
225
(5a -
-7c)²
The Nash equilibrium in stage 1 for firm 1 is
that firm
is the leader and firm
Blank # 1
Blank # 2
Blank # 3
Blank # 4
E1
L1
L2
7
784
1
1568
(5a + 2c)²
(5a - 7c)²
(19a +7c)²
-
A
A/
and for firm 2 is
is the follower.
----'
This means
Transcribed Image Text:E2 2 225 (5a + 2c)² 2 (19a - 26c)² 225 1 1568 2 225 (5a + 2c)² 112 (5a-7c)² 2 225 (5a - -7c)² The Nash equilibrium in stage 1 for firm 1 is that firm is the leader and firm Blank # 1 Blank # 2 Blank # 3 Blank # 4 E1 L1 L2 7 784 1 1568 (5a + 2c)² (5a - 7c)² (19a +7c)² - A A/ and for firm 2 is is the follower. ----' This means
Consider a duopoly that compete with prices in a given market (parameter a>0
measures the market size) with two horizontally differentiated products. Firm 1 is the
efficient firm with zero marginal cost while firm 2 is less efficient and has marginal
cost c>0. Suppose a>c>(3/4)a>0. The two firms compete in prices in a second stage
like in a Bertrand model with differentiated products. In a first stage firms choose
simultaneously whether to play "early" denoted E or to play "late" denoted L. If they
both make the same choice (either E or L), a simultaneous Bertrand game follows
while if they make different choices, a sequential game follows with the firm having
chosen E being the leader. The second stage subgame equilibrium profits are
reported in the normal form first stage game below where the top payoff in any cell
corresponds to the payoff of the row player (firm 1) while the bottom corresponds to
the column player (firm 2). E1 and L1 correspond to the choices for Firm1 while E2
and L2 correspond to the choices for Firm 2.
Transcribed Image Text:Consider a duopoly that compete with prices in a given market (parameter a>0 measures the market size) with two horizontally differentiated products. Firm 1 is the efficient firm with zero marginal cost while firm 2 is less efficient and has marginal cost c>0. Suppose a>c>(3/4)a>0. The two firms compete in prices in a second stage like in a Bertrand model with differentiated products. In a first stage firms choose simultaneously whether to play "early" denoted E or to play "late" denoted L. If they both make the same choice (either E or L), a simultaneous Bertrand game follows while if they make different choices, a sequential game follows with the firm having chosen E being the leader. The second stage subgame equilibrium profits are reported in the normal form first stage game below where the top payoff in any cell corresponds to the payoff of the row player (firm 1) while the bottom corresponds to the column player (firm 2). E1 and L1 correspond to the choices for Firm1 while E2 and L2 correspond to the choices for Firm 2.
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Subgame Nash
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, economics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Microeconomic Theory
Microeconomic Theory
Economics
ISBN:
9781337517942
Author:
NICHOLSON
Publisher:
Cengage
Managerial Economics: Applications, Strategies an…
Managerial Economics: Applications, Strategies an…
Economics
ISBN:
9781305506381
Author:
James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:
Cengage Learning
Economics:
Economics:
Economics
ISBN:
9781285859460
Author:
BOYES, William
Publisher:
Cengage Learning