Three players (one divider and two choosers) are going to divide ...

[swpotter12]

Three players (one divider and two choosers) are going to divide a cake fairly using the lone divider method. The divider cuts the cake into three slices (s₁, s₂, and s₃).

Suppose the choosers value the slices as follows:

Which of the following is a fair division of the cake?
◦ Chooser 1 gets s₁; Chooser 2 gets s₂; Divider gets s₃.
◦ Divider 1 gets s₁; Choosers 1 and 2 divide s₂ + s₃ using the divider-chooser method.
◦ Divider 1 gets s₂; Choosers 1 and 2 divide s₁ + s₃ using the divider-chooser method.
◦ Chooser 1 gets s₂; Chooser 2 gets s₃; Divider gets s₁.
◦ none of these

[hugthug12]

Divider 1 gets s₁; Choosers 1 and 2 divide s₂ + s₃ using the divider-chooser method.