IDEAS home Printed from https://ideas.repec.org/a/eee/jetheo/v152y2014icp249-265.html
   My bibliography  Save this article

One-to-many bargaining when pairwise agreements are non-renegotiable

Author

Listed:
  • Montez, João

Abstract

We study a model where a central player (the principal) bargains bilaterally with each of several players (the agents) to create and share the surplus of a coalitional game. It is known that, if the payments that were previously agreed (with each of the remaining agents) are renegotiated in case any bilateral negotiation permanently breaks down, then the Shapley value is the unique efficient and individual rational outcome consistent with bilateral Nash bargaining. Here we show that when instead the agreed payments cannot be renegotiated the outcome is also unique but it now coincides with the Nucleolus of an associated bankruptcy problem. We provide a strategic foundation for this outcome. Then we study how such renegotiation affects the principal's payoff according to the properties of the surplus function. We find, for example, that renegotiation benefits the principal when agents are complements and it hurts him when they are substitutes (situations with, respectively, increasing and decreasing marginal contributions).

Suggested Citation

  • Montez, João, 2014. "One-to-many bargaining when pairwise agreements are non-renegotiable," Journal of Economic Theory, Elsevier, vol. 152(C), pages 249-265.
    • Handle: RePEc:eee:jetheo:v:152:y:2014:i:c:p:249-265
    DOI: 10.1016/j.jet.2014.04.004
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0022053114000581
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.jet.2014.04.004?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. Hendon, Ebbs & Tranaes, Torben, 1991. "Sequential bargaining in a market with one seller and two different buyers," Games and Economic Behavior, Elsevier, vol. 3(4), pages 453-466, November.
    2. Horn, Henrik & Wolinsky, Asher, 1988. "Worker Substitutability and Patterns of Unionisation," Economic Journal, Royal Economic Society, vol. 98(391), pages 484-497, June.
    3. Ken Binmore & Ariel Rubinstein & Asher Wolinsky, 1986. "The Nash Bargaining Solution in Economic Modelling," RAND Journal of Economics, The RAND Corporation, vol. 17(2), pages 176-188, Summer.
    4. 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.
    5. Oliver Hart & Jean Tirole, 1990. "Vertical Integration and Market Foreclosure," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 21(1990 Micr), pages 205-286.
    6. 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.
    7. Serrano, Roberto, 1995. "Strategic bargaining, surplus sharing problems and the nucleolus," Journal of Mathematical Economics, Elsevier, vol. 24(4), pages 319-329.
    8. Roy Chowdhury, Prabal & Sengupta, Kunal, 2012. "Transparency, complementarity and holdout," Games and Economic Behavior, Elsevier, vol. 75(2), pages 598-612.
    9. 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.
    10. David de Meza & Ben Lockwood, 1998. "Does Asset Ownership Always Motivate Managers? Outside Options and the Property Rights Theory of the Firm," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 113(2), pages 361-386.
    11. Ilya Segal, 2003. "Collusion, Exclusion, and Inclusion in Random-Order Bargaining," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 70(2), pages 439-460.
    12. Cai, Hongbin, 2000. "Delay in Multilateral Bargaining under Complete Information," Journal of Economic Theory, Elsevier, vol. 93(2), pages 260-276, August.
    13. Muto, S. & Nakayama, M. & Potters, J.A.M. & Tijs, S.H., 1988. "On big boss games," Other publications TiSEM 488a314a-179c-4628-91e6-7, Tilburg University, School of Economics and Management.
    14. Westermark, Andreas, 2003. "Bargaining, binding contracts, and competitive wages," Games and Economic Behavior, Elsevier, vol. 43(2), pages 296-311, May.
    15. Gul, Faruk, 1989. "Bargaining Foundations of Shapley Value," Econometrica, Econometric Society, vol. 57(1), pages 81-95, January.
    16. 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.
    17. Inderst, Roman & Wey, Christian, 2007. "Buyer power and supplier incentives," European Economic Review, Elsevier, vol. 51(3), pages 647-667, April.
    18. Chiu, Y Stephen, 1998. "Noncooperative Bargaining, Hostages, and Optimal Asset Ownership," American Economic Review, American Economic Association, vol. 88(4), pages 882-901, September.
    19. Alp Atakan, 2008. "Bargaining: separately or together?," Review of Economic Design, Springer;Society for Economic Design, vol. 11(4), pages 295-319, February.
    20. Aumann, Robert J. & Maschler, Michael, 1985. "Game theoretic analysis of a bankruptcy problem from the Talmud," Journal of Economic Theory, Elsevier, vol. 36(2), pages 195-213, August.
    21. Dobbelaere, Sabien & Luttens, Roland Iwan, 2011. "Collective Bargaining under Non-Binding Contracts," IZA Discussion Papers 5518, Institute of Labor Economics (IZA).
    22. Hart, Sergiu & Mas-Colell, Andreu, 1996. "Bargaining and Value," Econometrica, Econometric Society, vol. 64(2), pages 357-380, March.
    23. Byoung Heon Jun, 1989. "Non-cooperative Bargaining and Union Formation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 56(1), pages 59-76.
    24. McAfee, R Preston & Schwartz, Marius, 1994. "Opportunism in Multilateral Vertical Contracting: Nondiscrimination, Exclusivity, and Uniformity," American Economic Review, American Economic Association, vol. 84(1), pages 210-230, March.
    25. Marx, Leslie M. & Shaffer, Greg, 2007. "Rent shifting and the order of negotiations," International Journal of Industrial Organization, Elsevier, vol. 25(5), pages 1109-1125, October.
    26. 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.
    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. Johannes Münster & Markus Reisinger, 2021. "Sequencing Bilateral Negotiations with Externalities," ECONtribute Discussion Papers Series 096, University of Bonn and University of Cologne, Germany.
    2. Bahel, Eric, 2021. "Hyperadditive games and applications to networks or matching problems," Journal of Economic Theory, Elsevier, vol. 191(C).

    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. 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.
    2. Chen, Ying & Zápal, Jan, 2022. "Sequential vote buying," Journal of Economic Theory, Elsevier, vol. 205(C).
    3. Göller, Daniel & Hewer, Michael, 2015. "Breakdown in multilateral negotiations," Journal of Economic Theory, Elsevier, vol. 157(C), pages 478-484.
    4. 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.
    5. Xiao, Jun, 2018. "Bargaining orders in a multi-person bargaining game," Games and Economic Behavior, Elsevier, vol. 107(C), pages 364-379.
    6. Bedre-Defolie, Ö., 2012. "Vertical coordination through renegotiation," International Journal of Industrial Organization, Elsevier, vol. 30(6), pages 553-563.
    7. João V. Montez, 2007. "Downstream mergers and producer's capacity choice: why bake a larger pie when getting a smaller slice?," RAND Journal of Economics, RAND Corporation, vol. 38(4), pages 948-966, December.
    8. Inderst, Roman & Wey, Christian, 2003. "Bargaining, Mergers, and Technology Choice in Bilaterally Oligopolistic Industries," RAND Journal of Economics, The RAND Corporation, vol. 34(1), pages 1-19, Spring.
    9. João VIEIRA-MONTEZ, 2004. "Downstream Concentration and Producer's Capacity Choice," Cahiers de Recherches Economiques du Département d'économie 04.13, Université de Lausanne, Faculté des HEC, Département d’économie.
    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. Claire Chambolle & Sofia Villas-Boas, 2007. "Buyer Power through Producer's Differentiation," Working Papers hal-00243058, HAL.
    12. David de Meza & Mariano Selvaggi, 2004. "Exclusive Contracts Foster Relationship-Specific Investment," The Centre for Market and Public Organisation 04/105, The Centre for Market and Public Organisation, University of Bristol, UK.
    13. Johannes Münster & Markus Reisinger, 2021. "Sequencing Bilateral Negotiations with Externalities," ECONtribute Discussion Papers Series 096, University of Bonn and University of Cologne, Germany.
    14. Robert Gibbons & John Roberts, 2012. "The Handbook of Organizational Economics," Economics Books, Princeton University Press, edition 1, volume 1, number 9889.
    15. Gao, Hong & Xu, Haibo, 2021. "Multilateral bargaining with an endogenously determined procedure," Economics Letters, Elsevier, vol. 209(C).
    16. Inderst, Roman & Wey, Christian, 2007. "Buyer power and supplier incentives," European Economic Review, Elsevier, vol. 51(3), pages 647-667, April.
    17. Dagan, Nir & Serrano, Roberto & Volij, Oscar, 1997. "A Noncooperative View of Consistent Bankruptcy Rules," Games and Economic Behavior, Elsevier, vol. 18(1), pages 55-72, January.
    18. Chatterjee Kalyan & Chiu Y. Stephen, 2007. "When Does Competition Lead to Efficient Investments?," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 7(1), pages 1-39, July.
    19. Roy Chowdhury, Prabal & Sengupta, Kunal, 2012. "Transparency, complementarity and holdout," Games and Economic Behavior, Elsevier, vol. 75(2), pages 598-612.
    20. Chambolle, Claire & Villas-Boas, Sofia B., 2015. "Buyer power through the differentiation of suppliers," International Journal of Industrial Organization, Elsevier, vol. 43(C), pages 56-65.

    More about this item

    Keywords

    One-to-many bargaining; Pairwise bargaining; Nucleolus;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

    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:jetheo:v:152:y:2014:i:c:p:249-265. 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/622869 .

    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.