Multi-agent bilateral bargaining and the Nash bargaining solution
This paper studies a bargaining model where n players play a sequence of (n-1) bilateral bargaining sessions. In each bilateral bargaining session, two players follow the same bargaining process as in Rubinstein's (1982). A partial agreement between two players is reached in the session and one player effectively leaves the game with a share agreed upon in the partial agreement and the other moves on to the next session. Such a (multi-agent) bilateral bargaining model admits a unique subgame perfect equilibrium. Depending on who exits and who stays, we consider two bargaining procedures. The equilibrium outcomes under the two bargaining procedures converge to the Nash (1950) bargaining solution of the corresponding bargaining problem as the players' discount factor goes to one. Thus, the bilateral bargaining model studied in this paper provides a non-cooperative foundation for the Nash cooperative bargaining solution in the multilateral case.
(This abstract was borrowed from another version of this item.)
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.:
- Sang-Chul Suh & Quan Wen, 2003.
"Multi-Agent Bilateral Bargaining with Endogenous Protocol,"
Vanderbilt University Department of Economics Working Papers
0305, Vanderbilt University Department of Economics.
- Quan Wen & Sang-Chul Suh, 2004. "Multi-Agent Bilateral Bargaining with Endogenous Protocol," Econometric Society 2004 Far Eastern Meetings 405, Econometric Society.
- Quan Wen & Sang-Chul Suh, 2004. "Multi-Agent Bilateral Bargaining with Endogenous Protocol," Econometric Society 2004 North American Winter Meetings 394, Econometric Society.
- 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.
- Yang, Jeong-Ae, 1992. "Another n-person bargaining game with a unique perfect equilibrium," Economics Letters, Elsevier, vol. 38(3), pages 275-277, March.
- Kalyan Chatterjee & Hamid Sabourian, 2000.
"Multiperson Bargaining and Strategic Complexity,"
Econometric Society, vol. 68(6), pages 1491-1510, November.
- Kalyan Chatterjee & Hamid Sabourian, 1998. "Multiperson Bargaining and Strategic Complexity," CRIEFF Discussion Papers 9808, Centre for Research into Industry, Enterprise, Finance and the Firm.
- Chatterjee, K. & Sabourian, H., 1997. "Multiperson Bargaining and Strategic Complexity," Cambridge Working Papers in Economics 9733, Faculty of Economics, University of Cambridge.
- Chae, Suchan & Yang, Jeong-Ae, 1988. "The unique perfect equilibrium of an n-person bargaining game," Economics Letters, Elsevier, vol. 28(3), pages 221-223.
- Houba, H., 1993.
"An alternative proof of uniqueness in non-cooperative bargaining,"
Serie Research Memoranda
0015, VU University Amsterdam, Faculty of Economics, Business Administration and Econometrics.
- Houba, Harold, 1993. "An alternative proof of uniqueness in non-cooperative bargaining," Economics Letters, Elsevier, vol. 41(3), pages 253-256.
- Ariel Rubinstein, 2010.
"Perfect Equilibrium in a Bargaining Model,"
Levine's Working Paper Archive
661465000000000387, David K. Levine.
- William Thomson, 2011.
"Consistency and its converse: an introduction,"
Review of Economic Design,
Springer, vol. 15(4), pages 257-291, December.
- repec:cup:cbooks:9780521027038 is not listed on IDEAS
- Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
- Asheim, G.B., 1989.
"A Unique Solution To N-Person Sequential Bargaining,"
11-89, Norwegian School of Economics and Business Administration-.
- Asheim, Geir B., 1992. "A unique solution to n-person sequential bargaining," Games and Economic Behavior, Elsevier, vol. 4(2), pages 169-181, April.
- repec:cup:cbooks:9780521343831 is not listed on IDEAS
- repec:cup:cbooks:9780521576475 is not listed on IDEAS
- Chen-Ying Huang, 2002. "Multilateral bargaining: conditional and unconditional offers," Economic Theory, Springer, vol. 20(2), pages 401-412.
- Cai, Hongbin, 2000. "Delay in Multilateral Bargaining under Complete Information," Journal of Economic Theory, Elsevier, vol. 93(2), pages 260-276, August.
- Krishna, Vijay & Serrano, Roberto, 1996. "Multilateral Bargaining," Review of Economic Studies, Wiley Blackwell, vol. 63(1), pages 61-80, January.
- Sutton, John, 1986. "Non-cooperative Bargaining Theory: An Introduction," Review of Economic Studies, Wiley Blackwell, vol. 53(5), pages 709-24, October.
- Martin J. Osborne & Ariel Rubinstein, 2005. "Bargaining and Markets," Levine's Bibliography 666156000000000515, UCLA Department of Economics.
- Lensberg, Terje, 1988. "Stability and the Nash solution," Journal of Economic Theory, Elsevier, vol. 45(2), pages 330-341, August.
When requesting a correction, please mention this item's handle: RePEc:eee:mateco:v:42:y:2006:i:1:p:61-73. 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.