Four players (A, B, C, and D) agree to divide a cake fairly using ...

[itsmyluck]

Five players (A, B, C, D, and E) agree to divide a cake fairly using the lone divider method. The table below shows how each player values each of the five slices that have been cut by the divider.

Assuming he plays honestly, what should be player C's declaration?
◦ {s₅}
◦ {s₁, s₃, s₅}
◦ {s₁, s₅}
◦ {s₁, s₂, s₃, s₄, s₅}
◦ none of these

[mtmmmmmk]

{s₁, s₅}

[ec501234]

Five players (A, B, C, D, and E) agree to divide a cake fairly using the lone divider method. The table below shows how each player values each of the five slices that have been cut by the divider.

Which of the following is a fair division of the cake?
◦ A gets s₃, B gets s₂, C gets s₁, D gets s₄, E gets s₅
◦ A gets s₄, B gets s₅, C gets s₁, D gets s₃, E gets s₂
◦ A gets s₄, B gets s₂, C gets s₁, D gets s₃, E gets s₅
◦ All of these are fair divisions
◦ none of these

[tuate]

All of these are fair divisions