Problem

Suppose four players will divide a cake using the divide-and-choose method for four play...

Suppose four players will divide a cake using the divide-and-choose method for four players. Player 1 is the divider and cuts the cake into four pieces that each represent one-fourth of the value. The following table shows the opinions of the other three players: acceptable cuts are marked “accept” and unacceptable cuts are marked “reject.” Explain how to obtain a fair division of the cake based on the players’ expressed preferences.

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