Question: Suppose there are 2 players in a non-cooperative game theory situation. Company ABC and Company JKL both sell books and can choose to charge a

Suppose there are 2 players in a non-cooperative game theory situation. Company ABC and Company JKL both sell books and can choose to charge a high price or a low price for a particular book that is very popular. The following matrix contains the payoffs that each company receives under 4 scenarios. The first number in each cell refers to the payoffs for Company X.

Company JKL

Company ABC

Low Price

High Price

Low Price

500, 400

400, 500

High Price

100, 0

50, 100

If both firms make their decisions simultaneously, the Nash equilibrium will be

A.

Company ABC would charge a Low Price and Company JKL would charge a High Price

B.

Company ABC would charge a High Price and Company JKL would charge a High Price

C.

Company ABC would charge a High Price and Company JKL would charge a Low Price

D.

Company ABC would charge a Low Price and Company JKL would charge a Low Price

E.

There would be no equilibrium in the game

 

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