When he served, tennis champion Roger Federer would turn away from his opponent, and toss the ball in the same way. Andy Roddick lamented that he could never tell whether Federer would serve to the left or right. Use game theory to explain Federer's strategy.

Question

Quizplus · Accepted Answer

Federer's strategy of making his serve direction unpredictable is an example of a randomized strategy in game theory. By randomizing his serves, he prevents his opponent from being able to predict and prepare for his serve, thus maintaining an advantage. This is a common tactic in games of incomplete information, where keeping one's strategy unpredictable can be beneficial.

When He Served, Tennis Champion Roger Federer Would Turn Away