Consider the entry game. Now suppose five firms are considering entering a new market. Firms simultaneously decide whether to Enter or Do Not Enter. Each firm faces a different entry cost but earns the same gross profit upon entry. A firm's net profit = gross profit-its entry cost. A firm's payoff is a firm's net profit. Company A B C D E a. Entry Cost 290 210 Company A B C D E 120 110 100 Number of Companies 1 2 0 3 Derive each firm's payoff in the following table. 4 5 Number of Other Companies that Enter 1 3 2 Profit per company 1,000 400 b. Find all Nash equilibria. Make sure you justify your answer. 250 150 100 Total Industry Profit 1,000 800 750 600 500

Managerial Economics: A Problem Solving Approach
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ISBN:9781337106665
Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Chapter15: Strategic Games
Section: Chapter Questions
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Consider the entry game. Now suppose five firms are considering entering a new market. Firms
simultaneously decide whether to Enter or Do Not Enter. Each firm faces a different entry cost but earns the
same gross profit upon entry. A firm's net profit = gross profit - its entry cost. A firm's payoff is a firm's net
profit.
Company
A
B
C
D
E
Entry Cost
290
210
120
110
100
Company
A
B
C
D
E
a. Derive each firm's payoff in the following table.
Number of Companies
1
2
3
4
5
0
Profit per company
1,000
400
250
Number of Other Companies that Enter
1
2
3
b. Find all Nash equilibria. Make sure you justify your answer.
150
100
4
Total Industry Profit
1,000
800
750
600
500
Transcribed Image Text:Consider the entry game. Now suppose five firms are considering entering a new market. Firms simultaneously decide whether to Enter or Do Not Enter. Each firm faces a different entry cost but earns the same gross profit upon entry. A firm's net profit = gross profit - its entry cost. A firm's payoff is a firm's net profit. Company A B C D E Entry Cost 290 210 120 110 100 Company A B C D E a. Derive each firm's payoff in the following table. Number of Companies 1 2 3 4 5 0 Profit per company 1,000 400 250 Number of Other Companies that Enter 1 2 3 b. Find all Nash equilibria. Make sure you justify your answer. 150 100 4 Total Industry Profit 1,000 800 750 600 500
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