In a strategic game involving two players, if one player has a dominant strategy, what can be inferred about the nature of the game being played, particularly in relation to zero-sum and non-zero-sum games?

In a strategic game, a dominant strategy means that one player has a choice that is the best option, no matter what the other player does. This suggests that the game has a clear structure where one player can always maximize their outcome by following this strategy. In zero-sum games, where one player's gain is exactly equal to the other player's loss, having a dominant strategy can lead to predictable outcomes. For example, if Player A always chooses their dominant strategy to win points, Player B can only adjust their strategy to minimize losses. In non-zero-sum games, the presence of a dominant strategy may still lead to a clear advantage, but it doesn't always mean that one player's gain comes directly at the expense of the other, allowing for more complex interactions.