IDEAS home Printed from https://ideas.repec.org/p/mlb/wpaper/1150.html
   My bibliography  Save this paper

Bargaining Order in a Multi-Person Bargaining Game

Author

Listed:
  • Jun Xiao

Abstract

This paper studies a complete-information bargaining game with one buyer and multiple sellers of di¤erent ?sizes? or bargaining strengths. The bargaining order is determined by the buyer. If the buyer can commit to a bargaining order, there is a unique subgame perfect equilibrium outcome where the buyer bargains in order of increasing size ? from the smallest to the largest. If the buyer cannot commit to a bargaining order and the sellers are su¢ ciently di¤erent, there is also a unique subgame perfect equilibrium outcome again with the order of increasing size.

Suggested Citation

  • Jun Xiao, 2012. "Bargaining Order in a Multi-Person Bargaining Game," Department of Economics - Working Papers Series 1150, The University of Melbourne.
    • Handle: RePEc:mlb:wpaper:1150
    as

    Download full text from publisher

    File URL: http://fbe.unimelb.edu.au/__data/assets/pdf_file/0005/784310/1150.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Rubinstein, Ariel, 1982. "Perfect Equilibrium in a Bargaining Model," Econometrica, Econometric Society, vol. 50(1), pages 97-109, January.
    2. Muthoo,Abhinay, 1999. "Bargaining Theory with Applications," Cambridge Books, Cambridge University Press, number 9780521576475, January.
    3. 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.
    4. Thomas H. Noe & Jun Wang, 2004. "Fooling All of the People Some of the Time: A Theory of Endogenous Sequencing in Confidential Negotiations," Review of Economic Studies, Oxford University Press, vol. 71(3), pages 855-881.
    5. George J. Mailath & Andrew Postlewaite, 1990. "Asymmetric Information Bargaining Problems with Many Agents," Review of Economic Studies, Oxford University Press, vol. 57(3), pages 351-367.
    6. R. H. Coase, 2013. "The Problem of Social Cost," Journal of Law and Economics, University of Chicago Press, vol. 56(4), pages 837-877.
    7. Cai, Hongbin, 2000. "Delay in Multilateral Bargaining under Complete Information," Journal of Economic Theory, Elsevier, vol. 93(2), pages 260-276, August.
    8. Sang-Chul Suh & Quan Wen, 2009. "A multi-agent bilateral bargaining model with endogenous protocol," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 40(2), pages 203-226, August.
    9. Prabal Roy Chowdhury & Kunal Sengupta, 2008. "Multi-person bargaining with complementarity: Is there holdout?," Discussion Papers 08-10, Indian Statistical Institute, Delhi.
    10. Flamini, Francesca, 2007. "First things first? The agenda formation problem for multi-issue committees," Journal of Economic Behavior & Organization, Elsevier, vol. 63(1), pages 138-157, May.
    11. Perry Motty & Reny Philip J., 1993. "A Non-cooperative Bargaining Model with Strategically Timed Offers," Journal of Economic Theory, Elsevier, vol. 59(1), pages 50-77, February.
    12. Lars A. Stole & Jeffrey Zwiebel, 1996. "Intra-firm Bargaining under Non-binding Contracts," Review of Economic Studies, Oxford University Press, vol. 63(3), pages 375-410.
    13. Fernandez, Raquel & Glazer, Jacob, 1991. "Striking for a Bargain between Two Completely Informed Agents," American Economic Review, American Economic Association, vol. 81(1), pages 240-252, March.
    14. Roy Chowdhury, Prabal & Sengupta, Kunal, 2008. "Multi-person Bargaining With Complementarity: Is There Holdout?," MPRA Paper 11517, University Library of Munich, Germany.
    15. Fershtman, Chaim, 1990. "The importance of the agenda in bargaining," Games and Economic Behavior, Elsevier, vol. 2(3), pages 224-238, September.
    16. Anat R. Admati & Motty Perry, 1987. "Strategic Delay in Bargaining," Review of Economic Studies, Oxford University Press, vol. 54(3), pages 345-364.
    17. Haller, Hans & Holden, Steinar, 1990. "A letter to the editor on wage bargaining," Journal of Economic Theory, Elsevier, vol. 52(1), pages 232-236, October.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Bedayo, Mikel & Mauleon, Ana & Vannetelbosch, Vincent, 2016. "Bargaining in endogenous trading networks," Mathematical Social Sciences, Elsevier, vol. 80(C), pages 70-82.
    2. Derek J. Clark & Jean-Christophe Pereau, 2021. "Group bargaining in supply chains," Review of Economic Design, Springer;Society for Economic Design, vol. 25(3), pages 111-138, September.
    3. Maurya, Amit Kumar, 2018. "Bargaining order in multilateral bargaining with imperfect compliments," MPRA Paper 89583, University Library of Munich, Germany.
    4. Johannes Münster & Markus Reisinger, 2021. "Sequencing Bilateral Negotiations with Externalities," ECONtribute Discussion Papers Series 096, University of Bonn and University of Cologne, Germany.
    5. Amit Kumar Maurya & Shubhro Sarkar, 2013. "Bargaining order and delays in multilateral bargaining with asymmetric sellers," Indira Gandhi Institute of Development Research, Mumbai Working Papers 2013-015, Indira Gandhi Institute of Development Research, Mumbai, India.
    6. Suchan Chae & Seho Kim, 2019. "The effects of third-party transfers in sequential anchored bargaining," International Journal of Game Theory, Springer;Game Theory Society, vol. 48(1), pages 143-155, March.
    7. Chiu Yu Ko & Duozhe Li, 2020. "Decentralized One‐To‐Many Bargaining," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 61(3), pages 1139-1172, August.
    8. Chen, Ying & Zápal, Jan, 2022. "Sequential vote buying," Journal of Economic Theory, Elsevier, vol. 205(C).
    9. Soumendu Sarkar, 2017. "Mechanism design for land acquisition," International Journal of Game Theory, Springer;Game Theory Society, vol. 46(3), pages 783-812, August.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Xiao, Jun, 2018. "Bargaining orders in a multi-person bargaining game," Games and Economic Behavior, Elsevier, vol. 107(C), pages 364-379.
    2. Göller, Daniel & Hewer, Michael, 2015. "Breakdown in multilateral negotiations," Journal of Economic Theory, Elsevier, vol. 157(C), pages 478-484.
    3. Caparrós, By Alejandro & Pereau, Jean-Christophe, 2021. "Inefficient coasean negotiations over emissions and transfers," Journal of Economic Behavior & Organization, Elsevier, vol. 189(C), pages 359-378.
    4. Uyanik, Metin & Yengin, Duygu, 2023. "Expropriation power in private dealings: Quota rule in collective sales," Games and Economic Behavior, Elsevier, vol. 141(C), pages 548-580.
    5. Cai, Hongbin, 2000. "Delay in Multilateral Bargaining under Complete Information," Journal of Economic Theory, Elsevier, vol. 93(2), pages 260-276, August.
    6. Cai, Hongbin, 2000. "Bargaining on Behalf of a Constituency," Journal of Economic Theory, Elsevier, vol. 92(2), pages 234-273, June.
    7. Busch, Lutz-Alexander & Horstmann, Ignatius J., 2002. "The game of negotiations: ordering issues and implementing agreements," Games and Economic Behavior, Elsevier, vol. 41(2), pages 169-191, November.
    8. Gao, Hong & Xu, Haibo, 2021. "Multilateral bargaining with an endogenously determined procedure," Economics Letters, Elsevier, vol. 209(C).
    9. Ayşe Mumcu, 2010. "Strategic Withholding Of Firm‐Specific Skills In Wage Bargaining," Scottish Journal of Political Economy, Scottish Economic Society, vol. 57(2), pages 187-211, May.
    10. Chiu Yu Ko & Duozhe Li, 2020. "Decentralized One‐To‐Many Bargaining," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 61(3), pages 1139-1172, August.
    11. Weinberger, Catherine J., 2000. "Selective Acceptance and Inefficiency in a Two-Issue Complete Information Bargaining Game," Games and Economic Behavior, Elsevier, vol. 31(2), pages 262-293, May.
    12. Mumcu, Ayşe, 1999. "Firm-Specific Skills, Wage Bargaining, and Efficiency," MPRA Paper 1913, University Library of Munich, Germany.
    13. Alejandro Caparrós, 2016. "Bargaining and International Environmental Agreements," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 65(1), pages 5-31, September.
    14. Agnieszka Rusinowska & Ahmet Ozkardas, 2015. "On equilibrium payoffs in wage bargaining with discount rates varying in time," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 3(2), pages 181-199, October.
    15. Johannes Münster & Markus Reisinger, 2021. "Sequencing Bilateral Negotiations with Externalities," ECONtribute Discussion Papers Series 096, University of Bonn and University of Cologne, Germany.
    16. Manzini, Paola, 1999. "Strategic bargaining with destructive power," Economics Letters, Elsevier, vol. 65(3), pages 315-322, December.
    17. Vicente Calabuig Alcantara, 1997. "Ineficiencias en las negociaciones entre dos agentes completamente informados," Working Papers. Serie EC 1997-03, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    18. David Nickerson & Asha Sadanand & Venkatraman Sadanand, 1994. "Strategic delay and endogenous offers in bargaining games with private information," Journal of Economics, Springer, vol. 60(2), pages 125-154, June.
    19. Suchan Chae & Seho Kim, 2019. "The effects of third-party transfers in sequential anchored bargaining," International Journal of Game Theory, Springer;Game Theory Society, vol. 48(1), pages 143-155, March.
    20. Oz Shy, 2010. "Consistent Bargaining," Economics Bulletin, AccessEcon, vol. 30(2), pages 1425-1432.

    More about this item

    Keywords

    multi-person bargaining; bargaining order;

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:mlb:wpaper:1150. See general information about how to correct material in RePEc.

    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 CitEc recognized a bibliographic reference but did not link an item in RePEc 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 RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Dandapani Lokanathan (email available below). General contact details of provider: https://edirc.repec.org/data/demelau.html .

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

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.