In game theory, a player can effectively determine their optimal strategy by only considering their own payoffs without regard to the anticipated responses of their opponent. True or False?

False. In game theory, a player's best move usually depends on what the opponent might do, because payoffs change with the opponent’s choices. Ignoring the opponent’s possible reactions can lead to a strategy that looks good for one payoff matrix but fails when the opponent chooses differently. The correct approach is to evaluate how the opponent might respond and choose a strategy that performs best against those responses. For example, in the Prisoner's Dilemma, cooperating is not optimal if the opponent defects, showing the necessity of anticipating the opponent’s choice.