IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/11517.html
   My bibliography  Save this paper

Multi-person Bargaining With Complementarity: Is There Holdout?

Author

Listed:
  • Roy Chowdhury, Prabal
  • Sengupta, Kunal

Abstract

This paper studies a non-cooperative bargaining problem with one buyer and many sellers, focussing on the tension between the complementarity intrinsic to such a setup and efficiency. We address this problem in a very general setup with a technology that allows for variable degrees of complementarity, a bargaining protocol that is symmetric and allows for both secret, as well as publicly observable offers, and strategies that allow for history dependence. We examine equilibria for all parameter values. Interestingly, and in contrast to most of the literature, we demonstrate that there is a large class of parameter values such that an asymptotically efficient equilibrium with a positive buyer payoff exists - thus demonstrating that strategic holdout is not a serious obstacle to the working of the Coase theorem. For robustness we examine alternative contractual forms, i.e. conditional and equity contracts, as well as variations that allow for multiple project implementation and asymmetric sellers.

Suggested Citation

  • Roy Chowdhury, Prabal & Sengupta, Kunal, 2008. "Multi-person Bargaining With Complementarity: Is There Holdout?," MPRA Paper 11517, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:11517
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/11517/1/MPRA_paper_11517.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Okada, Akira, 1996. "A Noncooperative Coalitional Bargaining Game with Random Proposers," Games and Economic Behavior, Elsevier, vol. 16(1), pages 97-108, September.
    2. Rubinstein, Ariel, 1982. "Perfect Equilibrium in a Bargaining Model," Econometrica, Econometric Society, vol. 50(1), pages 97-109, January.
    3. Perry, Motty & Reny, Philip J, 1994. "A Noncooperative View of Coalition Formation and the Core," Econometrica, Econometric Society, vol. 62(4), pages 795-817, July.
    4. Asami, Yasushi, 1985. "A game-theoretic approach to the division of profits from economic land development," Regional Science and Urban Economics, Elsevier, vol. 18(2), pages 233-246, May.
    5. Carl Shapiro, 2001. "Navigating the Patent Thicket: Cross Licenses, Patent Pools, and Standard Setting," NBER Chapters, in: Innovation Policy and the Economy, Volume 1, pages 119-150, National Bureau of Economic Research, Inc.
    6. Kalyan Chatterjee & Bhaskar Dutta, 2013. "Rubinstein Auctions: On Competition for Bargaining Partners," World Scientific Book Chapters, in: Bargaining in the Shadow of the Market Selected Papers on Bilateral and Multilateral Bargaining, chapter 3, pages 51-77, World Scientific Publishing Co. Pte. Ltd..
    7. Kalyan Chatterjee & Bhaskar Dutia & Debraj Ray & Kunal Sengupta, 2013. "A Noncooperative Theory of Coalitional Bargaining," World Scientific Book Chapters, in: Bargaining in the Shadow of the Market Selected Papers on Bilateral and Multilateral Bargaining, chapter 5, pages 97-111, World Scientific Publishing Co. Pte. Ltd..
    8. Serrano Roberto, 1995. "A Market to Implement the Core," Journal of Economic Theory, Elsevier, vol. 67(1), pages 285-294, October.
    9. 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.
    10. Ray, Debraj & Vohra, Rajiv, 1997. "Equilibrium Binding Agreements," Journal of Economic Theory, Elsevier, vol. 73(1), pages 30-78, March.
    11. Eckart, Wolfgang, 1985. "On the land assembly problem," Journal of Urban Economics, Elsevier, vol. 18(3), pages 364-378, November.
    12. Kyle Hyndman & Debraj Ray, 2007. "Coalition Formation with Binding Agreements," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 74(4), pages 1125-1147.
    13. Ray, Debraj & Vohra, Rajiv, 1999. "A Theory of Endogenous Coalition Structures," Games and Economic Behavior, Elsevier, vol. 26(2), pages 286-336, January.
    14. Martin J. Osborne & Ariel Rubinstein, 2005. "Bargaining and Markets," Levine's Bibliography 666156000000000515, UCLA Department of Economics.
    15. Akira Okada, 2000. "The Efficiency Principle in Non-Cooperative Coalitional Bargaining," The Japanese Economic Review, Japanese Economic Association, vol. 51(1), pages 34-50, March.
    16. Cai, Hongbin, 2000. "Delay in Multilateral Bargaining under Complete Information," Journal of Economic Theory, Elsevier, vol. 93(2), pages 260-276, August.
    17. Hart, Sergiu & Mas-Colell, Andreu, 1996. "Bargaining and Value," Econometrica, Econometric Society, vol. 64(2), pages 357-380, March.
    18. Gul, Faruk, 1989. "Bargaining Foundations of Shapley Value," Econometrica, Econometric Society, vol. 57(1), pages 81-95, January.
    19. 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.
    20. Vijay Krishna & Roberto Serrano, 1996. "Multilateral Bargaining," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 63(1), pages 61-80.
    21. Bloch, Francis, 1996. "Sequential Formation of Coalitions in Games with Externalities and Fixed Payoff Division," Games and Economic Behavior, Elsevier, vol. 14(1), pages 90-123, May.
    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. Jun Xiao, 2012. "Bargaining Order in a Multi-Person Bargaining Game," Department of Economics - Working Papers Series 1150, The University of Melbourne.

    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. Roy Chowdhury, Prabal & Sengupta, Kunal, 2012. "Transparency, complementarity and holdout," Games and Economic Behavior, Elsevier, vol. 75(2), pages 598-612.
    2. Ray, Debraj & Vohra, Rajiv, 2015. "Coalition Formation," Handbook of Game Theory with Economic Applications,, Elsevier.
    3. Akira Okada, 2015. "Cooperation and Institution in Games," The Japanese Economic Review, Japanese Economic Association, vol. 66(1), pages 1-32, March.
    4. Maria Montero, 2023. "Coalition Formation in Games with Externalities," Dynamic Games and Applications, Springer, vol. 13(2), pages 525-548, June.
    5. Maria Montero, 2023. "Coalition Formation in Games with Externalities," Dynamic Games and Applications, Springer, vol. 13(2), pages 525-548, June.
    6. Roberto Serrano, 2005. "Fifty years of the Nash program, 1953-2003," Investigaciones Economicas, Fundación SEPI, vol. 29(2), pages 219-258, May.
    7. Armando Gomes, "undated". "A Theory of Negotiations and Formation of Coalitions," Rodney L. White Center for Financial Research Working Papers 21-99, Wharton School Rodney L. White Center for Financial Research.
    8. Armo Gomes, "undated". "A Theory of Negotiation and Formation of Coalition," Penn CARESS Working Papers f0f956747161c96ffb6e79d05, Penn Economics Department.
    9. Messan Agbaglah, 2017. "Overlapping coalitions, bargaining and networks," Theory and Decision, Springer, vol. 82(3), pages 435-459, March.
    10. Bloch, Francis & Gomes, Armando, 2006. "Contracting with externalities and outside options," Journal of Economic Theory, Elsevier, vol. 127(1), pages 172-201, March.
    11. Britz, Volker & Herings, P. Jean-Jacques & Predtetchinski, Arkadi, 2014. "On the convergence to the Nash bargaining solution for action-dependent bargaining protocols," Games and Economic Behavior, Elsevier, vol. 86(C), pages 178-183.
    12. Joosung Lee, 2013. "Bargaining and Buyout," 2013 Papers ple701, Job Market Papers.
    13. Okada, Akira, 2010. "The Nash bargaining solution in general n-person cooperative games," Journal of Economic Theory, Elsevier, vol. 145(6), pages 2356-2379, November.
    14. Serrano, Roberto & Vohra, Rajiv, 2002. "Bargaining and Bargaining Sets," Games and Economic Behavior, Elsevier, vol. 39(2), pages 292-308, May.
    15. Yildirim, Huseyin, 2007. "Proposal power and majority rule in multilateral bargaining with costly recognition," Journal of Economic Theory, Elsevier, vol. 136(1), pages 167-196, September.
    16. Prabal Roy Chowdhury & Kunal Sengupta, 2008. "Multi-person bargaining with complementarity: Is there holdout?," Discussion Papers 08-10, Indian Statistical Institute, Delhi.
    17. Francis Bloch & Effrosyni Diamantoudi, 2011. "Noncooperative formation of coalitions in hedonic games," International Journal of Game Theory, Springer;Game Theory Society, vol. 40(2), pages 263-280, May.
    18. Yang, Guangjing & Sun, Hao & Hou, Dongshuang & Xu, Genjiu, 2020. "A noncooperative bargaining game with endogenous protocol and partial breakdown," Mathematical Social Sciences, Elsevier, vol. 105(C), pages 34-40.
    19. Gomes, Armando, 2015. "Multilateral negotiations and formation of coalitions," Journal of Mathematical Economics, Elsevier, vol. 59(C), pages 77-91.
    20. László Á. Kóczy, 2018. "Partition Function Form Games," Theory and Decision Library C, Springer, number 978-3-319-69841-0, March.

    More about this item

    Keywords

    Multi-person bargaining; holdout; complementarity; efficiency; Coase theorem;
    All these keywords.

    JEL classification:

    • D23 - Microeconomics - - Production and Organizations - - - Organizational Behavior; Transaction Costs; Property Rights
    • L14 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Transactional Relationships; Contracts and Reputation
    • D62 - Microeconomics - - Welfare Economics - - - Externalities
    • 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:pra:mprapa:11517. 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: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.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.