On the Talmud division : equity and robustness
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.
|Date of creation:||Oct 2008|
|Date of revision:|
|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/
More information through EDIRC
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.:
- Dagan, N. & Serrano, R. & Volij, O.C., 1994.
"A Non-Cooperative View of Consistent Bankruptcy Rules,"
1994-11, Tilburg University, Center for Economic Research.
- Dagan, Nir & Serrano, Roberto & Volij, Oscar, 1997. "A Noncooperative View of Consistent Bankruptcy Rules," Games and Economic Behavior, Elsevier, vol. 18(1), pages 55-72, January.
- Nir Dagan & Roberto Serrano & Oscar Volij, 1997. "A Noncooperative View of Consistent Bankruptcy Rules," Economic theory and game theory 005, Nir Dagan.
- Volij, Oscar & Dagan, Nir & Serrano, Roberto, 1997. "A Non-Cooperative View of Consistent Bankruptcy Rules," Staff General Research Papers 5130, Iowa State University, Department of Economics.
- Diego Dominguez & William Thomson, 2006.
"A new solution to the problem of adjudicating conflicting claims,"
Springer;Society for the Advancement of Economic Theory (SAET), vol. 28(2), pages 283-307, 06.
- Diego Dominguez & William Thomson, 2004. "A New Solution to the Problem of Adjudicating Conflicting Claims," RCER Working Papers 511, University of Rochester - Center for Economic Research (RCER).
- 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.
- Abraham Diskin & Dan Felsenthal, 2007. "Individual rationality and bargaining," Public Choice, Springer, vol. 133(1), pages 25-29, October.
- Moulin, Herve, 2002.
"Axiomatic cost and surplus sharing,"
Handbook of Social Choice and Welfare,
in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 1, chapter 6, pages 289-357
- 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).
- Herrero, Carmen & Villar, Antonio, 2001. "The three musketeers: four classical solutions to bankruptcy problems," Mathematical Social Sciences, Elsevier, vol. 42(3), pages 307-328, November.
- Juan de Dios Moreno Ternero & Antonio Villar Notario, 2003.
"The Talmud Rule And The Securement Of Agents? Awards,"
Working Papers. Serie AD
2003-05, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
- 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.
- Toru Hokari & William Thomson, 2003. "Claims problems and weighted generalizations of the Talmud rule," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 21(2), pages 241-261, 03.
- Herve Moulin, 2004. "Fair Division and Collective Welfare," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262633116.
- 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.
- 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.
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 references are entirely missing, you can add them using this form.