Suppose two firms (A and B) are competing in price. Each firm can charge either High or Low price and the payoffs (profit or loss) from these strategies are presented below: Firm B High 50, -40 10, 10 Low Firm A 0, 0 -40, 50 Low High a. Find all pure strategy Nash equilibria b. If this game is played ten times by these two firms, find all pure strategy Nash equilibria c. Suppose this game is played infinitely and these firms agreed to charge high price in order to earn profits of Gh10 each but a firm will charge low price if its rival cheats. Find the a discount rate that will cause a firm to cheat d. Suppose the discount rate is 40% will the collusion strategies constitute a Nash Equilibrium

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
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Suppose two firms (A and B) are competing in price. Each firm can charge either High or Low price
and the payoffs (profit or loss) from these strategies are presented below:
Firm B
High
50, -40
10, 10
Low
Firm A
Low
0,0
High
-40, 50
a. Find all pure strategy Nash equilibria
b. If this game is played ten times by these two firms, find all pure strategy Nash equilibria
c. Suppose this game is played infinitely and these firms agreed to charge high price in order
to earn profits of Gh10 each but a firm will charge low price if its rival cheats. Find the a
discount rate that will cause a firm to cheat
d. Suppose the discount rate is 40% will the collusion strategies constitute a Nash Equilibrium
Transcribed Image Text:Suppose two firms (A and B) are competing in price. Each firm can charge either High or Low price and the payoffs (profit or loss) from these strategies are presented below: Firm B High 50, -40 10, 10 Low Firm A Low 0,0 High -40, 50 a. Find all pure strategy Nash equilibria b. If this game is played ten times by these two firms, find all pure strategy Nash equilibria c. Suppose this game is played infinitely and these firms agreed to charge high price in order to earn profits of Gh10 each but a firm will charge low price if its rival cheats. Find the a discount rate that will cause a firm to cheat d. Suppose the discount rate is 40% will the collusion strategies constitute a Nash Equilibrium
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