IDEAS home Printed from https://ideas.repec.org/a/eee/gamebe/v107y2018icp364-379.html
   My bibliography  Save this article

Bargaining orders in a multi-person bargaining game

Author

Listed:
  • Xiao, Jun

Abstract

This paper studies a complete-information bargaining game with one buyer and multiple sellers of different “sizes” or bargaining strengths. The bargaining order is determined endogenously. With a finite horizon, there is a unique subgame perfect equilibrium outcome, in which the buyer purchases in order of increasing size–from the smallest to the largest. With an infinite horizon, if the sellers have sufficiently different sizes, there is a unique equilibrium outcome, which has the same bargaining order. If the sellers have similar sizes with an infinite horizon, there may be multiple equilibrium outcomes with different bargaining orders.

Suggested Citation

  • Xiao, Jun, 2018. "Bargaining orders in a multi-person bargaining game," Games and Economic Behavior, Elsevier, vol. 107(C), pages 364-379.
    • Handle: RePEc:eee:gamebe:v:107:y:2018:i:c:p:364-379
    DOI: 10.1016/j.geb.2017.12.001
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0899825617302208
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.geb.2017.12.001?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    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.
    3. Silvana Krasteva & Huseyin Yildirim, 2012. "Payoff uncertainty, bargaining power, and the strategic sequencing of bilateral negotiations," RAND Journal of Economics, RAND Corporation, vol. 43(3), pages 514-536, September.
    4. Flavio Menezes & Rohan Pitchford, 2004. "A model of seller holdout," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 24(2), pages 231-253, August.
    5. Roy Chowdhury, Prabal & Sengupta, Kunal, 2012. "Transparency, complementarity and holdout," Games and Economic Behavior, Elsevier, vol. 75(2), pages 598-612.
    6. Thomas H. Noe & Jun Wang, 2004. "Fooling All of the People Some of the Time: A Theory of Endogenous Sequencing in Confidential Negotiations," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 71(3), pages 855-881.
    7. George J. Mailath & Andrew Postlewaite, 1990. "Asymmetric Information Bargaining Problems with Many Agents," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 57(3), pages 351-367.
    8. R. H. Coase, 2013. "The Problem of Social Cost," Journal of Law and Economics, University of Chicago Press, vol. 56(4), pages 837-877.
    9. Cai, Hongbin, 2000. "Delay in Multilateral Bargaining under Complete Information," Journal of Economic Theory, Elsevier, vol. 93(2), pages 260-276, August.
    10. 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.
    11. 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.
    12. 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.
    13. Lars A. Stole & Jeffrey Zwiebel, 1996. "Intra-firm Bargaining under Non-binding Contracts," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 63(3), pages 375-410.
    14. 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.
    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," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 54(3), pages 345-364.
    17. Hongbin Cai, 2003. "Inefficient Markov perfect equilibria in multilateral bargaining," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 22(3), pages 583-606, October.
    18. Winter, Eyal, 1997. "Negotiations in multi-issue committees," Journal of Public Economics, Elsevier, vol. 65(3), pages 323-342, September.
    19. 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.
    20. Vijay Krishna & Roberto Serrano, 1996. "Multilateral Bargaining," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 63(1), pages 61-80.
    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. 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.
    2. Gao, Hong & Xu, Haibo, 2021. "Multilateral bargaining with an endogenously determined procedure," Economics Letters, Elsevier, vol. 209(C).
    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. Chen, Ying & Zápal, Jan, 2022. "Sequential vote buying," Journal of Economic Theory, Elsevier, vol. 205(C).
    6. Soumendu Sarkar, 2022. "Strategyproof and Budget Balanced Mechanisms for Assembly," Working papers 320, Centre for Development Economics, Delhi School of Economics.
    7. Soumendu Sarkar, 2022. "Optimal mechanism for land acquisition," Review of Economic Design, Springer;Society for Economic Design, vol. 26(1), pages 87-116, March.
    8. Soumendu Sarkar & Dhritiman Gupta, 2023. "Bargaining for assembly," Theory and Decision, Springer, vol. 95(2), pages 229-254, August.
    9. 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.
    10. 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.

    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. Jun Xiao, 2012. "Bargaining Order in a Multi-Person Bargaining Game," Department of Economics - Working Papers Series 1150, The University of Melbourne.
    2. 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.
    3. Göller, Daniel & Hewer, Michael, 2015. "Breakdown in multilateral negotiations," Journal of Economic Theory, Elsevier, vol. 157(C), pages 478-484.
    4. 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.
    5. Cai, Hongbin, 2000. "Delay in Multilateral Bargaining under Complete Information," Journal of Economic Theory, Elsevier, vol. 93(2), pages 260-276, August.
    6. Gao, Hong & Xu, Haibo, 2021. "Multilateral bargaining with an endogenously determined procedure," Economics Letters, Elsevier, vol. 209(C).
    7. Chen, Ying & Zápal, Jan, 2022. "Sequential vote buying," Journal of Economic Theory, Elsevier, vol. 205(C).
    8. Montez, João, 2014. "One-to-many bargaining when pairwise agreements are non-renegotiable," Journal of Economic Theory, Elsevier, vol. 152(C), pages 249-265.
    9. Sarkar, Shubhro, 2016. "Bargaining order and delays in multilateral bargaining with heterogeneous sellers," Mathematical Social Sciences, Elsevier, vol. 80(C), pages 1-20.
    10. Roy Chowdhury, Prabal & Sengupta, Kunal, 2012. "Transparency, complementarity and holdout," Games and Economic Behavior, Elsevier, vol. 75(2), pages 598-612.
    11. 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.
    12. Cai, Hongbin, 2000. "Bargaining on Behalf of a Constituency," Journal of Economic Theory, Elsevier, vol. 92(2), pages 234-273, June.
    13. Soumendu Sarkar & Dhritiman Gupta, 2023. "Bargaining for assembly," Theory and Decision, Springer, vol. 95(2), pages 229-254, August.
    14. Johannes Münster & Markus Reisinger, 2021. "Sequencing Bilateral Negotiations with Externalities," ECONtribute Discussion Papers Series 096, University of Bonn and University of Cologne, Germany.
    15. 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.
    16. 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.
    17. 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.
    18. Sarkar, Soumendu, 2018. "Convergence of VCG mechanism to ex-post budget balance in a model of land acquisition," Mathematical Social Sciences, Elsevier, vol. 93(C), pages 37-46.
    19. Krasteva, Silvana & Yildirim, Huseyin, 2012. "On the role of confidentiality and deadlines in bilateral negotiations," Games and Economic Behavior, Elsevier, vol. 75(2), pages 714-730.
    20. Yi-Chun Chen & Xiao Luo, 2008. "Delay in a bargaining game with contracts," Theory and Decision, Springer, vol. 65(4), pages 339-353, December.

    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
    • L23 - Industrial Organization - - Firm Objectives, Organization, and Behavior - - - Organization of Production

    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:eee:gamebe:v:107:y:2018:i:c:p:364-379. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/inca/622836 .

    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.