Results 1 to 5 of 5

Math Help - what is the proper way to split this?

  1. #1
    Newbie
    Joined
    Apr 2008
    Posts
    8

    what is the proper way to split this?

    if 2 people split a drink, there is one drink and 2 glasses, in order to be fair, one pours and the other chooses

    how to do it for a 3-some?
    Last edited by Solan; May 20th 2008 at 12:10 AM.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    is up to his old tricks again! Jhevon's Avatar
    Joined
    Feb 2007
    From
    New York, USA
    Posts
    11,663
    Thanks
    3
    Quote Originally Posted by Solan View Post
    if 2 people split a drink, one pours and the other chooses

    how to do it for a 3-some?
    your question is really vague
    Follow Math Help Forum on Facebook and Google+

  3. #3
    A riddle wrapped in an enigma
    masters's Avatar
    Joined
    Jan 2008
    From
    Big Stone Gap, Virginia
    Posts
    2,551
    Thanks
    12
    Awards
    1
    Quote Originally Posted by Solan View Post
    if 2 people split a drink, there is one drink and 2 glasses, in order to be fair, one pours and the other chooses

    how to do it for a 3-some?

    Sounds kinky to me.
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor

    Joined
    Aug 2006
    Posts
    18,908
    Thanks
    1759
    Awards
    1
    This is actually a very famous problem in fair division theory!
    Say that the three are A, B, & C.
    Allow A to pour a portion of the bottle into a glass.
    Now B has the option to decrease the amount by pouring some from that glass into another glass.
    BUT B has no obligation to do so, B may pass.
    Now C is given the same two options.
    The last person to touch the first glass gets the glass.

    Now we have a partial bottle or a partial glass.
    Now you are back to a two person fair division.
    Let them divide the remains.
    Last edited by Plato; May 20th 2008 at 06:31 PM.
    Follow Math Help Forum on Facebook and Google+

  5. #5
    A riddle wrapped in an enigma
    masters's Avatar
    Joined
    Jan 2008
    From
    Big Stone Gap, Virginia
    Posts
    2,551
    Thanks
    12
    Awards
    1
    Sounds like something John Nash would be interested in.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Way to Split Profit
    Posted in the Business Math Forum
    Replies: 0
    Last Post: January 4th 2012, 02:51 AM
  2. the split
    Posted in the Math Puzzles Forum
    Replies: 4
    Last Post: October 14th 2009, 03:51 AM
  3. how to split this integral..
    Posted in the Calculus Forum
    Replies: 2
    Last Post: March 10th 2009, 11:20 AM
  4. to split or not to split 7s against a dealers 2
    Posted in the Statistics Forum
    Replies: 4
    Last Post: November 24th 2008, 12:36 AM
  5. Split 2009
    Posted in the Number Theory Forum
    Replies: 2
    Last Post: November 19th 2008, 01:12 AM

Search Tags


/mathhelpforum @mathhelpforum