In a game involving two players where each player has two strategies, if Player 1's strategy A is strictly better than strategy B regardless of what Player 2 chooses, which strategy should Player 1 choose according to the principle of iterative elimination of dominated strategies?

In this game, Player 1 has two strategies: A and B. If strategy A is always better than strategy B, no matter what Player 2 does, then strategy B is considered dominated by strategy A. According to the principle of iterative elimination of dominated strategies, Player 1 should choose strategy A because it guarantees a better outcome regardless of Player 2's choices. For example, if Player 2 chooses either of their strategies, Player 1 will always do better by playing A instead of B. Therefore, the best decision for Player 1 is to stick with strategy A to maximize their payoff.