IDEAS home Printed from https://ideas.repec.org/
MyIDEAS: Login to save this paper or follow this series

On the Talmud division : equity and robustness

  • De MESNARD, Louis

    ()

    (LEG - CNRS UMR 5118 - Université de Bourgogne)

The Talmud Division is a very old method of sharing developed by the rabbis in the Talmud and brought to the fore in the modern area some authors, among them are Aumann and Maschler. One compares the Talmud Division to other methods, mainly here the most popular, Aristotle’s Proportional Division, but also to the equal division. The Talmud Division is more egalitarian than the Proportional Division for small levels of estate and conversely and it protects the weakest –those who cannot place a non-zero claim–. This suggests that claimants may choose among the claiming methods depending on their interest, what implies a metagame. Unlike other methods as the Proportional Division, the Talmud Division is not robust because the solution depends on the order in which groups of claimants are formed, while it could be impossible to form coalitions without following the increasing order of claimants or to find a general agreement about what precise coalition must be chosen. For a larger number of claimants, fulfilling the order-preserving condition may oblige to backtrack for a very large number of steps what implies an unreasonable volume of computations. The paper discusses also of three generalizations of the Contested Garment method to three or more claimants.

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.

File URL: http://leg.u-bourgogne.fr/images/stories/pdf/doc_trav2008/e2008-07.pdf
Download Restriction: no

Paper provided by LEG, Laboratoire d'Economie et de Gestion, CNRS, Université de Bourgogne in its series LEG - Document de travail - Economie with number 2008-07.

as
in new window

Length: 26 pages
Date of creation: Oct 2008
Date of revision:
Handle: RePEc:lat:legeco:2008-07
Contact details of provider: Postal: Pôle d'Economie et de Gestion - 2, bd Gabriel - BP 26611 - F-21066 Dijon cedex - France
Phone: 00 333 80 39 54 41
Fax: 00 333 80 39 54 43
Web page: http://www.leg.u-bourgogne.fr/
Email:


More information through EDIRC

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

as in new window
  1. Moulin, Herve, 2001. "Axiomatic Cost and Surplis-Sharing," Working Papers 2001-06, Rice University, Department of Economics.
  2. Herve Moulin, 2004. "Fair Division and Collective Welfare," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262633116, June.
  3. Abraham Diskin & Dan Felsenthal, 2007. "Individual rationality and bargaining," Public Choice, Springer, vol. 133(1), pages 25-29, October.
  4. Benoit, Jean-Pierre, 1997. "The Nucleolus is Contested-Garment-Consistent: A Direct Proof," Working Papers 97-12, C.V. Starr Center for Applied Economics, New York University.
  5. Antonio Villar Notario & Carmen Herrero Blanco, 2000. "The Three Musketeers: Four Classical Solutions To Bankruptcy Problems," Working Papers. Serie AD 2000-23, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  6. Diego Dominguez & William Thomson, 2006. "A new solution to the problem of adjudicating conflicting claims," Economic Theory, Springer, vol. 28(2), pages 283-307, 06.
  7. Nir Dagan & Roberto Serrano & Oscar Volij, 1997. "A Noncooperative View of Consistent Bankruptcy Rules," Economic theory and game theory 005, Nir Dagan.
  8. Toru Hokari & William Thomson, 2003. "Claims problems and weighted generalizations of the Talmud rule," Economic Theory, Springer, vol. 21(2), pages 241-261, 03.
  9. Aumann, Robert J. & Maschler, Michael, 1985. "Game theoretic analysis of a bankruptcy problem from the Talmud," Journal of Economic Theory, Elsevier, vol. 36(2), pages 195-213, August.
  10. Benoit, Jean-Pierre, 1997. "The Nucleolus Is Contested-Garment-Consistent: A Direct Proof," Journal of Economic Theory, Elsevier, vol. 77(1), pages 192-196, November.
  11. Moreno-Ternero, Juan D. & Villar, Antonio, 2004. "The Talmud rule and the securement of agents' awards," Mathematical Social Sciences, Elsevier, vol. 47(2), pages 245-257, March.
Full references (including those not matched with items on IDEAS)

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

When requesting a correction, please mention this item's handle: RePEc:lat:legeco:2008-07. See general information about how to correct material in RePEc.

For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Odile Ferry)

If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

If references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.

If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.

Please note that corrections may take a couple of weeks to filter through the various RePEc services.

This information is provided to you by IDEAS at the Research Division of the Federal Reserve Bank of St. Louis using RePEc data.