Island Division: Lone-divider Method G G G G G G G G S S G S S S S S S S S S S A B C Gold 1 2 3 Silver Total 33 30 51 Fair division 11 10 17

A divides island into 3 equal sections B C Gold 1 2 3 Silver Fair division 11 10 17 G G G G G G G G S S G S S S S S S S S S S I II III A 11 I II III B 10 C 17 B and C happy with any section

Everyone’s Happy! B picks section I C picks section II Gold 1 2 3 Silver Fair division 11 10 17 G G G G G G G G S S G S S S S S S S S S S B picks section I C picks section II A is given section III B C A

Second Try: A divides island into 3 equal sections B C Gold 1 2 3 Silver Fair division 11 10 17 G G G G G G G G S S G S S S S S S S S S S I II III A 11 I II III B 16 7 C 25 13 B and C only satisfied with Section I

C divides into 2 equal sections I II B C Gold 1 2 3 Silver Fair division 11 10 17 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 G G G G G G G G S S G S S S S S S S S S S A I II I II B 12 11 C 19

Final division A’s section B’s section C’s section A’s value 11 Gold 1 2 3 Silver Fair division 11 10 17 G G G G G G G G S S G S S S S S S S S S S A B C A’s section B’s section C’s section A’s value 11 B’s value 12 C’s value 19

Final division A is envious of C A’s section B’s section C’s section Gold 1 2 3 Silver Fair division 11 10 17 G G G G G G G G S S G S S S S S S S S S S A B C A’s section B’s section C’s section A’s value 11 9 13 B’s value 7 12 C’s value 19 A is envious of C

Island Division: Last-diminisher Method G G G G G G G G S S G S S S S S S S S S S A B C Gold 1 2 3 Silver Total 33 30 51 Fair Division 11 10 17

A cuts section worth 11 to him, and gives it to B Gold 1 2 3 Silver Fair division 11 10 17 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) G G G G G G G G S S G S S S S S S S S S S A

B trims area down to 10 and gives to C Gold 1 2 3 Silver Fair division 11 10 17 B trims area down to 10 and gives to C C thinks it’s only worth 15 and lets B keep it G G G G G G G G S S G S S S S S S S S S S B

A views remainder as worth 28, C views remainder as worth 36 B C Gold 1 2 3 Silver Fair division 11 10 17 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 B

C values left piece at 22 and right piece at 14 B C Gold 1 2 3 Silver Fair division 11 10 17 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 B

C values left piece at 22 and right piece at 14 B C Gold 1 2 3 Silver Fair division 11 10 17 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 B C A

Final Division A’s section B’s section C’s section A’s value 14 Gold 1 2 3 Silver Fair division 11 10 17 B C A G G G G G G G G S S G S S S S S S S S S S A’s section B’s section C’s section A’s value 14 B’s value 10 C’s value 22

Final Division B is envious of C A’s section B’s section C’s section Gold 1 2 3 Silver Fair division 11 10 17 B C A G G G G G G G G S S G S S S S S S S S S S A’s section B’s section C’s section A’s value 14 5 B’s value 7 10 13 C’s value 15 22 B is envious of C