Which of the following constitutes a mixed strategy Nash equilibrium of the Odds and Evens game?
A) Play Even and Odd with 50% probability each.
B) Play Even with 75% probability and Odd with 25% probability.
C) Always play Even.
D) This game has no mixed strategy Nash equilibrium.

Question

Quizplus · Accepted Answer

In the Odds and Evens game, a mixed strategy Nash equilibrium involves randomizing over choices to make the opponent indifferent between their options. Playing Even and Odd with equal probability (50% each) achieves this balance, making it impossible for the opponent to gain an advantage by deviating from their strategy.

Which of the Following Constitutes a Mixed Strategy Nash Equilibrium