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 ABC Gold123 Silver212 Total Fair division

A divides island into 3 equal sections G G G G G G G G S S G S S S S S S S S S S IIIIII A11 B10 C17 I II III B and C happy with any section

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

Second Try: A divides island into 3 equal sections G G G G G G G G S S G S S S S S S S S S S I II III IIIIII A11 B1677 C2513 B and C both like Section I the best

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 B1211 C19

Final division 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 value11 B’s value12 C’s value19

Final division 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 value11913 B’s value71211 C’s value1319 A is envious of C! Not envy free

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 ABC Gold123 Silver212 Total Fair Division

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 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 A divides remainder into two pieces worth 14 each and passes the one on the left to C G G G G G G G G S S G S S S S S S S S S S B A

C thinks piece is worth 22 (too much) and trims it to 18 G G G G G G G G S S G S S S S S S S S S S B A

C thinks piece is worth 22 (too much) and trims it to 18 C is last diminisher so gets this piece G G G G G G G G S S G S S S S S S S S S S B C

C thinks piece is worth 22 (too much) and trims it to 18 C is last diminisher so gets this piece, and A gets what’s left 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 value18 B’s value10 C’s value18 B C A G G G G G G G G S S G S S S S S S S S S S

Final Division A’s section B’s section C’s section A’s value18510 B’s value91011 C’s value B C A G G G G G G G G S S G S S S S S S S S S S B is envious of C!