Use the following statements to answer this question: I. A player must have at least one dominant strategy in a game.
II) If neither player in a game has a dominant strategy in a game, then there is no equilibrium outcome for the game.
A) I and II are true.
B) I is true and II is false.
C) II is true and I is false.
D) I and II are false.

Question

Quizplus · Accepted Answer

I is false because a player does not necessarily need to have a dominant strategy in a game. A game can be perfectly well-defined and solvable even if no player has a dominant strategy. II is false because the absence of dominant strategies does not imply the absence of an equilibrium outcome. Games without dominant strategies can still have Nash equilibria, where each player's strategy is the best response to the other players' strategies.

Use the Following Statements to Answer This Question: I