1 / 16

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

liora
Download Presentation

Island Division: Lone-divider Method

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  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 both like Section I the best 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! Not envy free

  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 let’s B keep it

  11. B • A views remainder as worth 28, C views remainder as worth 36 • A divides remainder into two pieces worth 14 each and takes one. G G G G G G G G S S G S S S S S S S S S S A

  12. B • 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 A

  13. B • 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 C

  14. B • 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 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

  16. 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!

More Related