Date: Jul 27, 2006 1:01 PM
Author: Toni Lassila
Subject: Re: Skepticism, mysticism, Jewish mathematics
On 27 Jul 2006 09:34:28 -0700, "Craig Feinstein" <cafeinst@msn.com>

wrote:

>If you look at Jewish Talmudic sources, you'll see that rigorous and

>sophisticated mathematics was never really so high on the list of

>priorities for the rabbis.

This claim, like many by Craig Feinstein, is dubious:

http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6WJ3-4CYGBRF-MG&_user=10&_coverDate=08%2F31%2F1985&_rdoc=1&_fmt=summary&_orig=browse&_sort=d&view=c&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=320a9584cc080f579d37232f48d8bac6

Game theoretic analysis of a bankruptcy problem from the Talmud

Robert J. Aumann and Michael Maschler

The Hebrew University, 91904, Jerusalem, Israel

Abstract

For three different bankruptcy problems, the 2000-year old Babylonian

Talmud prescribes solutions that equal precisely the nucleoli of the

corresponding coalitional games. A rationale for these solutions that

is independent of game theory is given in terms of the Talmudic

principle of equal division of the contested amount; this rationale

leads to a unique solution for all bankruptcy problems, which always

coincides with the nucleolus. Two other rationales for the same rule

are suggested, in terms of other Talmudic principles. (Needless to

say, the rule in question is not proportional division).