Comments on: How Game Theory Solved a Religious Mystery http://mindyourdecisions.com/blog/2008/06/10/how-game-theory-solved-a-religious-mystery/ 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: » Nash Bargaining Solution - An ancient Example » Cornell Info 2040 - Networks http://mindyourdecisions.com/blog/2008/06/10/how-game-theory-solved-a-religious-mystery/comment-page-1/#comment-6349 » Nash Bargaining Solution - An ancient Example » Cornell Info 2040 - Networks Wed, 03 Mar 2010 22:18:41 +0000 http://mindyourdecisions.com/blog/2008/06/10/how-game-theory-solved-a-religious-mystery/#comment-6349 [...] How Game Theory Solved a Religious Mystery - Blog post on MindYourdecisions.org which inspired this piece [...] [...] How Game Theory Solved a Religious Mystery – Blog post on MindYourdecisions.org which inspired this piece [...]

]]> By: Game Theory in The Dark Knight: the opening scene (spoilers) - Mind Your Decisions http://mindyourdecisions.com/blog/2008/06/10/how-game-theory-solved-a-religious-mystery/comment-page-1/#comment-5896 Game Theory in The Dark Knight: the opening scene (spoilers) - Mind Your Decisions Fri, 04 Dec 2009 22:15:15 +0000 http://mindyourdecisions.com/blog/2008/06/10/how-game-theory-solved-a-religious-mystery/#comment-5896 [...] The robbers don’t like that the Joker gets an equal share for doing unequal work. Their complaint raises the issue of fair division, which is central to game theory. In fact, fair division is the first problem that game theory addressed historically. The problem appears in the Babylonian Talmud about how creditors should divide an estate. The text offers a mysterious solution that had baffled scholars for over 2,000 years. It was only very recently that a Nobel Laureate economist deciphered the answer using the tools of coalitional game theory. Let me tell you, the answer is fascinating. [...] [...] The robbers don’t like that the Joker gets an equal share for doing unequal work. Their complaint raises the issue of fair division, which is central to game theory. In fact, fair division is the first problem that game theory addressed historically. The problem appears in the Babylonian Talmud about how creditors should divide an estate. The text offers a mysterious solution that had baffled scholars for over 2,000 years. It was only very recently that a Nobel Laureate economist deciphered the answer using the tools of coalitional game theory. Let me tell you, the answer is fascinating. [...]

]]> By: Tagz | "How Game Theory Solved a Religious Mystery - Mind Your Decisions by Presh Talwalkar" | Comments http://mindyourdecisions.com/blog/2008/06/10/how-game-theory-solved-a-religious-mystery/comment-page-1/#comment-5258 Tagz | "How Game Theory Solved a Religious Mystery - Mind Your Decisions by Presh Talwalkar" | Comments Sat, 16 May 2009 16:54:33 +0000 http://mindyourdecisions.com/blog/2008/06/10/how-game-theory-solved-a-religious-mystery/#comment-5258 [...] [upmod] [downmod] How Game Theory Solved a Religious Mystery - Mind Your Decisions by Presh Talwalkar (mindyourdecisions.com) 2 points posted 3 months, 1 week ago by trshant tags toread theory [...] [...] [upmod] [downmod] How Game Theory Solved a Religious Mystery – Mind Your Decisions by Presh Talwalkar (mindyourdecisions.com) 2 points posted 3 months, 1 week ago by trshant tags toread theory [...]

]]> By: Game Theory Applied to ‘Batman, the Dark Knight’ | Lost in Transit http://mindyourdecisions.com/blog/2008/06/10/how-game-theory-solved-a-religious-mystery/comment-page-1/#comment-4931 Game Theory Applied to ‘Batman, the Dark Knight’ | Lost in Transit Mon, 09 Mar 2009 16:13:20 +0000 http://mindyourdecisions.com/blog/2008/06/10/how-game-theory-solved-a-religious-mystery/#comment-4931 [...] more practical example of game theory was applied to a case found in the Talmud. It described how to divide a piece of land amongst owners with unequal claims over it. The rules used in these old texts had vexed scholars and [...] [...] more practical example of game theory was applied to a case found in the Talmud. It described how to divide a piece of land amongst owners with unequal claims over it. The rules used in these old texts had vexed scholars and [...]

]]> By: Presh Talwalkar http://mindyourdecisions.com/blog/2008/06/10/how-game-theory-solved-a-religious-mystery/comment-page-1/#comment-4560 Presh Talwalkar Fri, 06 Feb 2009 07:28:05 +0000 http://mindyourdecisions.com/blog/2008/06/10/how-game-theory-solved-a-religious-mystery/#comment-4560 Yes, business profits and losses are more likely to be proportionally divided, but I guess the point is that it depends on social custom. Think about another situation. Imagine a parent promises 100, 200 and 300 dollars to his kids for getting all A grades (the parent has to bribe the worst students more money). If the parent ended up having only 200 dollars at the time of payment, what would be the division? I'm not sure it has to be proportional, and perhaps someone like Nobel laureate Robert Aumann would give 50, 75, 75 just to teach his kids a lesson in economics and history! Yes, business profits and losses are more likely to be proportionally divided, but I guess the point is that it depends on social custom.

Think about another situation. Imagine a parent promises 100, 200 and 300 dollars to his kids for getting all A grades (the parent has to bribe the worst students more money). If the parent ended up having only 200 dollars at the time of payment, what would be the division? I’m not sure it has to be proportional, and perhaps someone like Nobel laureate Robert Aumann would give 50, 75, 75 just to teach his kids a lesson in economics and history!

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