In a three-player game, if the game is symmetric and one player does not have a dominant strategy, then the other two players also have no dominant strategy.

Question

Quizplus · Accepted Answer

In a symmetric game, all players have identical strategies and payoffs. If one player lacks a dominant strategy, the symmetry implies that the other players face the same situation, thus they also lack a dominant strategy.

In a Three-Player Game, If the Game Is Symmetric and One