Evolution of Division Rules
Several division rules have been proposed in the literature regarding how an arbiter should divide a bankrupt estate. Different rules satisfy different sets of axioms, but all rules satisfy claims boundedness which requires that no contributor be given more than her initial contribution. This paper takes two non-cooperative bargaining games - the contracting game (Young, 1998a), and the Nash demand game, and adds the axiom of claims boundedness to the rules of these games. Outcomes prescribed by all the division rules are strict Nash equilibria in the one-shot version of both these augmented games. We show that the division suggested by the truncated claims proportional rule is the unique long run outcome if we embed the augmented contracting game in Young’s (1993b) evolutionary bargaining model. With the augmented Nash demand game as the underlying bargaining game, the long run outcome is the division prescribed by the constrained equal awards rule.
|Date of creation:||Oct 2006|
|Date of revision:|
|Contact details of provider:|| Postal: |
Phone: +49-3641-68 65
Fax: +49-3641-68 69 90
Web page: http://www.econ.mpg.de/
More information through EDIRC
|Order Information:|| Web: http://www.econ.mpg.de/english/research/ESI/discuss.php Email: |
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.:
- Ellingsen, Tore & Robles, Jack, 2000.
"Does Evolution Solve the Hold-up Problem?,"
SSE/EFI Working Paper Series in Economics and Finance
358, Stockholm School of Economics.
- Tore Ellingsen & Jack Robles, 2000. "Does Evolution Solve the Hold-up Problem," Econometric Society World Congress 2000 Contributed Papers 1525, Econometric Society.
- Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January.
- BERGIN, James & LIPMAN, Bart, 1994.
"Evolution with State-Dependent Mutations,"
CORE Discussion Papers
1994055, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Kalai, Ehud & Smorodinsky, Meir, 1975. "Other Solutions to Nash's Bargaining Problem," Econometrica, Econometric Society, vol. 43(3), pages 513-18, May.
- Michihiro, Kandori & Rob, Rafael, 1998.
"Bandwagon Effects and Long Run Technology Choice,"
Games and Economic Behavior,
Elsevier, vol. 22(1), pages 30-60, January.
- Troger, Thomas, 2002. "Why Sunk Costs Matter for Bargaining Outcomes: An Evolutionary Approach," Journal of Economic Theory, Elsevier, vol. 102(2), pages 375-402, February.
- Binmore, Ken & Samuelson, Larry & Young, Peyton, 2003. "Equilibrium selection in bargaining models," Games and Economic Behavior, Elsevier, vol. 45(2), pages 296-328, November.
- Young H. P., 1993. "An Evolutionary Model of Bargaining," Journal of Economic Theory, Elsevier, vol. 59(1), pages 145-168, February.
- 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.
- Herve Moulin, 2004. "Fair Division and Collective Welfare," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262633116, June.
- Young, H Peyton, 1998. "Conventional Contracts," Review of Economic Studies, Wiley Blackwell, vol. 65(4), pages 773-92, October.
When requesting a correction, please mention this item's handle: RePEc:esi:discus:2006-27. 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: (Karin Richter)
If references are entirely missing, you can add them using this form.