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Island Division: Lone-divider Method

A method of dividing an island into three equal sections where everyone is satisfied and happy. A unique approach to ensure fairness and satisfaction among participants.

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Island Division: Lone-divider Method

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  1. G G G G G G G G S S G S S S S S S S S S S Island Division: Lone-divider Method

  2. G G G G G G G G S S G S S S S S S S S S S II I III B and C happy with any section A divides island into 3 equal sections

  3. G G G G G G G G S S G S S S S S S S S S S C B A Everyone’s Happy! • B picks section I • C picks section II • A is given section III

  4. G G G G G G G G S S G S S S S S S S S S S I III II B and C only satisfied with Section I Second Try: A divides island into 3 equal sections

  5. G G G G G G G G S S G S S S S S S S S S S I II A • A is given section III • I and II are combined • New area worth: • 23 to B • 38 to C • C divides into 2 equal sections

  6. G G G G G G G G S S G S S S S S S S S S S B C A Final division

  7. G G G G G G G G S S G S S S S S S S S S S B C A Final division A is envious of C

  8. G G G G G G G G S S G S S S S S S S S S S Island Division: Last-diminisher Method

  9. G G G G G G G G S S G S S S S S S S S S S A • A cuts section worth 11 to him, and gives it to B • B views it worth 16 which he thinks is too much (should be worth 10)

  10. G G G G G G G G S S G S S S S S S S S S S B • B trims area down to 10 and gives to C • C thinks it’s only worth 15 and lets B keep it

  11. B • A views remainder as worth 28, C views remainder as worth 36 • A and C now use divide-and-choose. A divides remainder into two pieces worth 14 G G G G G G G G S S G S S S S S S S S S S

  12. B • C values left piece at 22 and right piece at 14 G G G G G G G G S S G S S S S S S S S S S

  13. B • C values left piece at 22 and right piece at 14 • C chooses left piece • A gets right piece G G G G G G G G S S G S S S S S S S S S S C A

  14. B Final Division G G G G G G G G S S G S S S S S S S S S S C A

  15. B Final Division G G G G G G G G S S G S S S S S S S S S S C A B is envious of C

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