Frans asked his mother, Greta, to bake him an apple pie. After baking the pie, Greta tells Frans to slice the pie any way he likes, but that he must give his brother, Hans, the first choice of slices. The only other condition is that the slices must be divided into quarters. The most likely guiding principle for determining the Nash equilibrium strategy profile for this game is the:

Question

Quizplus · Accepted Answer

The minimax theorem is relevant here because it suggests that Frans should slice the pie in a way that minimizes the maximum advantage his brother could gain, assuming Hans will choose the largest or most desirable piece. This strategy ensures that all pieces are as equal as possible, aligning with the goal of minimizing any potential loss or disadvantage to Frans when Hans makes his choice.

Frans Asked His Mother, Greta, to Bake Him an Apple