Which of the following statements is TRUE?
A)If a game has one or more Nash equilibria, then it's not really a game since the solution is known.
B)A game can either have a Nash equilibrium or a dominant strategy solution.
C)If a game has a Nash equilibrium, the game must have a dominant strategy solution.
D)If a game has a dominant strategy solution, the solution must also be a Nash equilibrium.

Question

Quizplus · Accepted Answer

If a game has a dominant strategy solution, it means that there is one strategy that is the best choice for a player regardless of what the other player does. This also means that this strategy is the best response to any strategy the other player chooses, making it a Nash equilibrium. However, there may be other Nash equilibria in the game that do not involve dominant strategies. Therefore, option D is the only true statement.

Which of the Following Statements Is TRUE