What is a dominant strategy in game theory?

What is a dominant strategy in game theory?

• A. A strategy that yields the worst payoff for a player regardless of others.
• B. A mixed strategy that randomizes choices.
• C. A strategy that yields the best payoff for a player only if others choose a particular action.
• D. A strategy that yields the best payoff for a player regardless of what others do.

Answer: (D)

A dominant strategy is an action that yields the best payoff for a player regardless of what others do. In other words, this choice dominates all other options in every possible scenario of the opponents’ moves, so it guarantees the highest outcome no matter how the rest of the game unfolds. The other ideas describe options that depend on what others choose, or involve randomizing, or even lead to the worst payoff, none of which capture the idea of a strategy that is best in every possible situation. If such a strategy exists, rational players will pick it because it always offers the best possible result.

A dominant strategy is an action that yields the best payoff for a player regardless of what others do. In other words, this choice dominates all other options in every possible scenario of the opponents’ moves, so it guarantees the highest outcome no matter how the rest of the game unfolds. The other ideas describe options that depend on what others choose, or involve randomizing, or even lead to the worst payoff, none of which capture the idea of a strategy that is best in every possible situation. If such a strategy exists, rational players will pick it because it always offers the best possible result.