Which of the following is true for a two-person game which has a Nash equilibrium?
A)Only one of the two players will have a dominant strategy.
B)The game must have a dominant-strategy equilibrium.
C)The dominant strategy of the players must be different.
D)The game may or may not have a dominant-strategy equilibrium.

Question

Quizplus · Accepted Answer

The game may or may not have a dominant-strategy equilibrium. A Nash equilibrium only means that both players have chosen their best strategy given the other player's strategy, but it does not necessarily indicate the presence of a dominant strategy. It is possible for both players to have dominated strategies, or for neither player to have a dominant strategy.

Which of the Following Is True for a Two-Person Game