Final answer:
A. Row 1. The maximin and minimax strategies are used in game theory to determine the best possible outcome for a player in a zero-sum game. In the given game, the row player's maximin strategy is to select Row 1,
Step-by-step explanation:
The maximin and minimax strategies are used in game theory to determine the best possible outcome for a player in a two-player zero-sum game. In a zero-sum game, the gain of one player is equal to the loss of the other player. The maximin strategy is used by the player who wants to guarantee the highest possible payoff under the assumption that the opponent will try to minimize their gain.
The minimax strategy is used by the player who wants to minimize their potential loss under the assumption that the opponent will try to maximize their gain.
In the given game represented by the matrix [ 1 -2 0 ] [-2 0 1 ], the row player's maximin strategy is to select Row 1. This means that the row player chooses the move that guarantees the highest possible payoff, regardless of the column player's strategy. The row player's minimum gain against any strategy chosen by the column player is 0, which is the maximum gain among all the minimum gains for each row.
Based on the maximin strategy, since there is only one option for the row player, the game is strictly determined. This means that the outcome of the game is known and fixed, and the row player has a guaranteed optimal strategy.