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Short Answer

Analyzing a Strategic Decision

Consider the following payoff matrix for two students, Alex and Ben, who are working on a joint project. They must decide independently whether to 'Study Hard' or 'Relax'. The first number in each cell represents Alex's grade payoff, and the second represents Ben's.

Ben: Study HardBen: Relax
Alex: Study Hard(8, 8)(5, 2)
Alex: Relax(6, 5)(2, 6)

Does Alex have a strategy that is best for him regardless of what Ben chooses? If so, identify the strategy and explain your reasoning by comparing his payoffs for each of Ben's possible actions.

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Updated 2025-08-01

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