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Fair division lone chooser
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Fair division lone chooser

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Two or more dividers and one chooser

Two or more dividers and one chooser

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Fair division lone chooser Fair division lone chooser Document Transcript

  • The Lone-Chooser Method A brief description using three players: two dividers and one chooser chosen at random. The dividers divide the cake using the divider-chooser method. Once the two pieces are chosen, each divider then cuts their piece into three pieces according to their value system. The chooser then chooses one piece from each divider.
  • Here's what it looks like: Lisa Larry Hector Pineapple Orange $27.00 $13.50 $13.50 $27.00 $0 $18.00 $9.00
  • Larry and Lisa are chosen to be the dividers. So they flip a coin and Lisa will divide and Larry will choose. Lisa Larry
  • $13.50 $13.50 $0 $0 $6.00 $12.00 $9.00 $18.00 $3.00 $6.00 Hector Lisa Larry
  • Lisa and Larry now cut their pieces into three. Lisa Larry
  • So how does Hector view the pieces? $3.00 $6.00 $6.00 $8.00 $2.00 $2.00 Hector
  • Here's how it ends up... $4.50 $4.50 $6.00 $8.00 $6.00 $6.00 Hector Larry Lisa
  • The following cake is going to be divided using the Lone-Chooser Method: Cake Value = $12.00 Theo Larry Lisa $3 $9 $10 $2 $8 $4
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