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Bargaining orders in a multi-person bargaining game

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  • 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
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    References listed on IDEAS

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    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, September.
    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.
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    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. Vincent Mak & Rami Zwick, 2024. "Fairness and Transparency in One-to-Many Bargaining with Complementarity: An Experimental Study," Games, MDPI, vol. 15(4), pages 1-29, June.
    6. Soumendu Sarkar & Dhritiman Gupta, 2023. "Bargaining for assembly," Theory and Decision, Springer, vol. 95(2), pages 229-254, August.
    7. Chen, Ying & Zápal, Jan, 2022. "Sequential vote buying," Journal of Economic Theory, Elsevier, vol. 205(C).
    8. Soumendu Sarkar, 2022. "Strategyproof and Budget Balanced Mechanisms for Assembly," Working papers 320, Centre for Development Economics, Delhi School of Economics.
    9. Soumendu Sarkar, 2022. "Optimal mechanism for land acquisition," Review of Economic Design, Springer;Society for Economic Design, vol. 26(1), pages 87-116, March.
    10. 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.
    11. 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.

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    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

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