1 / 9

Selfridge-Conway Discrete Procedure : Envy-Free Division Among Three People

Selfridge-Conway Discrete Procedure : Envy-Free Division Among Three People . Aviv Lipman Williams College. Marriage and Divorce in America. 2 million US marriages per year Almost half end in divorce. Post-Divorce. Options Lawyers Math! Envy free division.

yestin
Download Presentation

Selfridge-Conway Discrete Procedure : Envy-Free Division Among Three People

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. Selfridge-Conway Discrete Procedure: Envy-Free Division Among Three People Aviv Lipman Williams College

  2. Marriage and Divorce in America • 2 million US marriages per year • Almost half end in divorce

  3. Post-Divorce • Options • Lawyers • Math! Envy free division

  4. Envy-Free Division Between Two People • A cuts • B Chooses B A

  5. 3-way civil union (Netherlands 2005) • Polyfidelitous union (Brazil 2012) Victor de Brujin, Bianca, Mirjam

  6. Envy-Free Division Among Three People (1960s) John H. Conway John L. Selfridge

  7. Selfridge-Conway Procedure • A cuts • B trims largest • C chooses • B chooses C • C cuts trim • B chooses • A chooses A B B C A

  8. Selfridge-Conway Procedure, Case II • A cuts • B trims largest • C chooses • B chooses B • B cuts trim • C chooses • A chooses A C B C A

  9. Quartets? Quintets? …? • For n ≥ 4, number of cuts unbounded but finite for fixed n (1995) Alan D. Taylor Steven J. Brams

More Related