Bargaining with nonanonymous disagreement: Decomposable rules
We analyze bargaining situations where the agents’ payoffs from disagreement depend on who among them breaks down the negotiations. We model such problems as a superset of the standard domain of Nash (1950). We first show that this domain extension creates a very large number of new rules. In particular, decomposable rules (which are extensions of rules from the Nash domain) constitute a nowhere dense subset of all possible rules. For them, we analyze the process through which “good” properties of rules on the Nash domain extend to ours. We then enquire whether the counterparts of some well-known results on the Nash (1950) domain continue to hold for decomposable rules on our extended domain. We first show that an extension of the Kalai–Smorodinsky bargaining rule uniquely satisfies the Kalai and Smorodinsky (1975) properties. This uniqueness result, however, turns out to be an exception. We characterize the uncountably large classes of decomposable rules that survive the Nash (1950), Kalai (1977), and Thomson (1981) properties.
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.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
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.:
- Kaushik Basu, 1996. "Bargaining with set-valued disagreement," Social Choice and Welfare, Springer, vol. 13(1), pages 61-74, January.
- Thomson,William & Lensberg,Terje, 2006.
"Axiomatic Theory of Bargaining with a Variable Number of Agents,"
Cambridge University Press, number 9780521027038, October.
- Thomson,William & Lensberg,Terje, 1989. "Axiomatic Theory of Bargaining with a Variable Number of Agents," Cambridge Books, Cambridge University Press, number 9780521343831, October.
- van Damme, E.E.C. & Peters, H., 1991. "Characterizing the Nash and Raiffa bargaining solutions by disagreement point axioms," Other publications TiSEM 4bd5eb9e-328a-45a0-aa0a-e, Tilburg University, School of Economics and Management.
- Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
- Corominas-Bosch, Margarida, 2000. "Bargaining with asymmetric threat points," Economics Letters, Elsevier, vol. 69(3), pages 333-339, December.
- Chun, Youngsub & Thomson, William, 1990. "Bargaining with Uncertain Disagreement Points," Econometrica, Econometric Society, vol. 58(4), pages 951-59, July.
- Nir Dagan & Oscar Volij & Eyal Winter, 2000.
"A Characterization of the Nash Bargaining Solution,"
Economic theory and game theory
018, Nir Dagan, revised 21 Sep 2000.
- Eyal Winter & Oscar Volij & Nir Dagan, 2002. "A characterization of the Nash bargaining solution," Social Choice and Welfare, Springer, vol. 19(4), pages 811-823.
- Nir Dagan & Oscar Volij & Eyal Winter, 2001. "A Characterization of the Nash Bargaining Solution," Economic theory and game theory 013, Oscar Volij.
- Volij, Oscar & Dagan, Nir & Winter, Eyal, 2002. "A Characterization of the Nash Bargaining Solution," Staff General Research Papers 5259, Iowa State University, Department of Economics.
- Chun, Y. & Thomson, W., 1988.
"Nash Solution And Uncertain Disagreement Points,"
RCER Working Papers
134, University of Rochester - Center for Economic Research (RCER).
- Thomson, William, 1987. "Monotonicity of bargaining solutions with respect to the disagreement point," Journal of Economic Theory, Elsevier, vol. 42(1), pages 50-58, June.
- Livne, Zvi A., 1988. "The bargaining problem with an uncertain conflict outcome," Mathematical Social Sciences, Elsevier, vol. 15(3), pages 287-302, June.
- Livne, Zvi, 1986. "The bargaining problem: axioms concerning changes in the conflict point," Economics Letters, Elsevier, vol. 21(2), pages 131-134.
- Chun, Youngsub & Thomson, William, 1992.
"Bargaining problems with claims,"
Mathematical Social Sciences,
Elsevier, vol. 24(1), pages 19-33, August.
- Alvin E Roth, 2008. "Axiomatic Models of Bargaining," Levine's Working Paper Archive 122247000000002376, David K. Levine.
- Sunil Gupta & Zvi A. Livne, 1988. "Resolving a Conflict Situation with a Reference Outcome: An Axiomatic Model," Management Science, INFORMS, vol. 34(11), pages 1303-1314, November.
- Kalai, Ehud, 1977.
"Proportional Solutions to Bargaining Situations: Interpersonal Utility Comparisons,"
Econometric Society, vol. 45(7), pages 1623-30, October.
- Ehud Kalai, 1977. "Proportional Solutions to Bargaining Situations: Interpersonal Utility Comparisons," Discussion Papers 179, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Martin J. Osborne & Ariel Rubinstein, 2005. "Bargaining and Markets," Levine's Bibliography 666156000000000515, UCLA Department of Economics.
- JÕzsef SÂkovics & Clara PonsatÎ, 1998. "Rubinstein bargaining with two-sided outside options," Economic Theory, Springer, vol. 11(3), pages 667-672.
- Shaked, Avner & Sutton, John, 1984. "Involuntary Unemployment as a Perfect Equilibrium in a Bargaining Model," Econometrica, Econometric Society, vol. 52(6), pages 1351-64, November.
- KIbrIs, Özgür & TapkI, Ipek Gürsel, 2010. "Bargaining with nonanonymous disagreement: Monotonic rules," Games and Economic Behavior, Elsevier, vol. 68(1), pages 233-241, January.
When requesting a correction, please mention this item's handle: RePEc:eee:matsoc:v:62:y:2011:i:3:p:151-161. 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: (Zhang, Lei)
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.