Consider the following simultaneous move game between two firms. Each firm can charge either a low or a high price. The numbers represent the profit of each firm at each period. Firm 1 High Price Low Price Firm 2 High Price Low Price 0 0,55 25,25 30,30 55,0
Consider the following simultaneous move game between two firms. Each firm can charge either a low or a high price. The numbers represent the profit of each firm at each period. Firm 1 High Price Low Price Firm 2 High Price Low Price 0 0,55 25,25 30,30 55,0
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Transcribed Image Text:QUESTION 14
Consider the following simultaneous move game between two firms. Each firm can charge either a low or a high price. The numbers represent the profit of each firm at each period.
Firm 1
High Price
Low Price
r≥ 40%
r≥ 20%
Firm 2
High Price Low Price
30,30 0,55
r≥ 50%
full cooperation cannot be achieved in this game.
Or≤ 20%
55,0
This game is repeated infinity times, and at each period both players must choose their actions simultaneously.
In this case, cooperation at the high price will be possible if the interest rate, r, is
r≤ 50%
r≤ 40%
The players are deciding whether or not to cooperate - specifically, whether or not to follow this cooperation strategy:
"Each player will play 'high price' as long as no one has played 'low price' before. If someone has played 'low price' before, then each player will play 'low price' forever."
25, 25
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