Which of the following statements is FALSE?
A) It is possible for one player to play a mixed strategy while another plays a pure strategy.
B) Some games have an infinite number of mixed-strategy equilibria.
C) In games with both pure and mixed Nash equilibria, it is best for players to play the pure strategies, not the mixed ones.
D) Mixed strategies entail assigning probabilities to the pure strategies available to a player.

Question

Quizplus · Accepted Answer

Statement C is false because whether it is best for players to play pure strategies over mixed strategies depends on the specific game and context. The existence of both pure and mixed Nash equilibria does not inherently make pure strategies better; the optimal strategy depends on the payoffs and strategic environment.

Which of the Following Statements Is FALSE