Barry and Iris are playing Ping-Pong. Both have equal ability, and each point comes down to whether the players guess correctly about the direction the other player will hit.
Look at the payoff matrix provided above. What is the Nash equilibrium for Barry and Iris?
Choose one:
A. Iris hits to the left and Barry guesses to the right.
B. Iris hits to the left and Barry guesses to the left.
C. There is no Nash equilibrium.
D. Iris hits to the right and Barry guesses to the right.
Homework Answers
When Berry Guesses left ,then Iris has more pay off in Hits right. And when Berry Guesses Right, then Iris has more pay in Hits left.
Similarly, When Iris Hits left ,then Berry has more pay off in Guessing Left and When Iris hits Right ,then Berry has more pay off in Guessing Right.
Therefore, we can see that both players best response doesn't match. This implies that there is not Nash equilibrium.
Hence,option(C) is correct.
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