Comments on: Fair division and game theory in a Jif Peanut Butter commercial http://mindyourdecisions.com/blog/2009/01/13/fair-division-and-game-theory-in-a-jif-peanut-butter-commercial/ Articles on game theory and personal finance Sat, 20 Mar 2010 11:33:15 -0500 http://wordpress.org/?v=2.9.2 hourly 1 By: Presh Talwalkar http://mindyourdecisions.com/blog/2009/01/13/fair-division-and-game-theory-in-a-jif-peanut-butter-commercial/comment-page-1/#comment-5372 Presh Talwalkar Mon, 06 Jul 2009 05:55:16 +0000 http://mindyourdecisions.com/blog/?p=1175#comment-5372 Good question Benjamin...I'll try to think of an example for a future article. Good question Benjamin…I’ll try to think of an example for a future article.

]]> By: Benjamin Vitale http://mindyourdecisions.com/blog/2009/01/13/fair-division-and-game-theory-in-a-jif-peanut-butter-commercial/comment-page-1/#comment-5368 Benjamin Vitale Mon, 06 Jul 2009 00:22:58 +0000 http://mindyourdecisions.com/blog/?p=1175#comment-5368 A question on the cake cutting problem: How to divide fairly a two-(or more)flavored cake? Suppose you and your friend have a chocolate-vanilla cake. Division must be envy-free. Suppose that your friend likes cakes with lots of frosting, but you don't care for it. So, we need to quantify the problem in order to solve it. To quantify how much you and your friend want chocolate or vanilla you have assigned monetary values in dollars to each section of the cake. Could u show an example how to work it out? A question on the cake cutting problem:
How to divide fairly a two-(or more)flavored cake?
Suppose you and your friend have a chocolate-vanilla cake.
Division must be envy-free.
Suppose that your friend likes cakes with lots of frosting, but you don’t care for it.
So, we need to quantify the problem in order to solve it.
To quantify how much you and your friend want chocolate or vanilla you have assigned monetary values in dollars to each section of the cake.
Could u show an example how to work it out?

]]> By: Huey http://mindyourdecisions.com/blog/2009/01/13/fair-division-and-game-theory-in-a-jif-peanut-butter-commercial/comment-page-1/#comment-4428 Huey Thu, 22 Jan 2009 01:33:34 +0000 http://mindyourdecisions.com/blog/?p=1175#comment-4428 Kids shouldn't be eating so many carbs anyway. :) Kids shouldn’t be eating so many carbs anyway. :)

]]> By: Presh Talwalkar http://mindyourdecisions.com/blog/2009/01/13/fair-division-and-game-theory-in-a-jif-peanut-butter-commercial/comment-page-1/#comment-4408 Presh Talwalkar Sun, 18 Jan 2009 08:32:31 +0000 http://mindyourdecisions.com/blog/?p=1175#comment-4408 All good comments...I'll do some research and write up my thoughts in a future article All good comments…I’ll do some research and write up my thoughts in a future article

]]> By: malachi http://mindyourdecisions.com/blog/2009/01/13/fair-division-and-game-theory-in-a-jif-peanut-butter-commercial/comment-page-1/#comment-4406 malachi Sat, 17 Jan 2009 21:02:40 +0000 http://mindyourdecisions.com/blog/?p=1175#comment-4406 If you like board games, check out San Marco (http://www.boardgamegeek.com/game/1041), it uses the "I divide, you choose" mechanism. It is best with 3 players. Each round the divider changes. The divider gets a set of cards she has to split up, with some good cards and some bad ("limit") cards. When one player gets to a certain limit number, the round is over and they pay a penalty, so the preferences are fairly apparent and change over time making the divider's job fairly tricky. If you like board games, check out San Marco (http://www.boardgamegeek.com/game/1041), it uses the “I divide, you choose” mechanism. It is best with 3 players.

Each round the divider changes. The divider gets a set of cards she has to split up, with some good cards and some bad (“limit”) cards. When one player gets to a certain limit number, the round is over and they pay a penalty, so the preferences are fairly apparent and change over time making the divider’s job fairly tricky.

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