If one player in a game has a dominant strategy, the other player must also have a dominant strategy.

Question

Quizplus · Accepted Answer

A dominant strategy exists for a player if, regardless of what the other players do, the strategy earns them a higher payoff than any other. The existence of a dominant strategy for one player does not necessitate or imply that other players also have dominant strategies. Each player's strategy set and payoffs are independent in this context.

If One Player in a Game Has a Dominant Strategy