IDEAS home Printed from https://ideas.repec.org/a/ucp/jpolec/doi10.1086-700729.html
   My bibliography  Save this article

"Nash-in-Nash" Bargaining: A Microfoundation for Applied Work

Author

Listed:
  • Allan Collard-Wexler
  • Gautam Gowrisankaran
  • Robin S. Lee

Abstract

A "Nash equilibrium in Nash bargains" has become a workhorse bargaining model in applied analyses of bilateral oligopoly. This paper proposes a noncooperative foundation for "Nash-in-Nash" bargaining that extends Rubinstein's alternating offers model to multiple upstream and downstream firms. We provide conditions on firms' marginal contributions under which there exists, for sufficiently short time between offers, an equilibrium with agreement among all firms at prices arbitrarily close to Nash-in-Nash prices, that is, each pair's Nash bargaining solution given agreement by all other pairs. Conditioning on equilibria without delayed agreement, limiting prices are unique. Unconditionally, they are unique under stronger assumptions.

Suggested Citation

  • Allan Collard-Wexler & Gautam Gowrisankaran & Robin S. Lee, 2019. ""Nash-in-Nash" Bargaining: A Microfoundation for Applied Work," Journal of Political Economy, University of Chicago Press, vol. 127(1), pages 163-195.
    • Handle: RePEc:ucp:jpolec:doi:10.1086/700729
    DOI: 10.1086/700729
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1086/700729
    Download Restriction: Access to the online full text or PDF requires a subscription.
    File URL: http://dx.doi.org/10.1086/700729
    Download Restriction: Access to the online full text or PDF requires a subscription.
    File URL: https://libkey.io/10.1086/700729?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 look for a different version below or search for a different version of it.

    Other versions of this item:

    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. 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.
    3. Merlo, Antonio & Wilson, Charles A, 1995. "A Stochastic Model of Sequential Bargaining with Complete Information," Econometrica, Econometric Society, vol. 63(2), pages 371-399, March.
    4. 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.
    5. 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..
    6. Matthew Grennan, 2013. "Price Discrimination and Bargaining: Empirical Evidence from Medical Devices," American Economic Review, American Economic Association, vol. 103(1), pages 145-177, February.
    7. Martin J. Osborne & Ariel Rubinstein, 1994. "A Course in Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262650401, December.
    8. Jonas Björnerstedt & Johan Stennek, 2001. "Bilateral Oligopoly," CIG Working Papers FS IV 01-08, Wissenschaftszentrum Berlin (WZB), Research Unit: Competition and Innovation (CIG).
    9. Bjornerstedt, Jonas & Stennek, Johan, 2007. "Bilateral oligopoly -- The efficiency of intermediate goods markets," International Journal of Industrial Organization, Elsevier, vol. 25(5), pages 884-907, October.
    10. Muthoo,Abhinay, 1999. "Bargaining Theory with Applications," Cambridge Books, Cambridge University Press, number 9780521576475.
    11. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
    12. Gregory S. Crawford & Ali Yurukoglu, 2012. "The Welfare Effects of Bundling in Multichannel Television Markets," American Economic Review, American Economic Association, vol. 102(2), pages 643-685, April.
    13. Henrick Horn & Asher Wolinsky, 1988. "Bilateral Monopolies and Incentives for Merger," RAND Journal of Economics, The RAND Corporation, vol. 19(3), pages 408-419, Autumn.
    14. Capps, Cory & Dranove, David & Satterthwaite, Mark, 2003. "Competition and Market Power in Option Demand Markets," RAND Journal of Economics, The RAND Corporation, vol. 34(4), pages 737-763, Winter.
    15. Berry, Steven & Levinsohn, James & Pakes, Ariel, 1995. "Automobile Prices in Market Equilibrium," Econometrica, Econometric Society, vol. 63(4), pages 841-890, July.
    16. Ilya Segal, 1999. "Contracting with Externalities," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 114(2), pages 337-388.
    17. 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.
    Full references (including those not matched with items on IDEAS)

    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. Johannes Münster & Markus Reisinger, 2021. "Sequencing Bilateral Negotiations with Externalities," ECONtribute Discussion Papers Series 096, University of Bonn and University of Cologne, Germany.
    2. Gregory S. Crawford & Ali Yurukoglu, 2012. "The Welfare Effects of Bundling in Multichannel Television Markets," American Economic Review, American Economic Association, vol. 102(2), pages 643-685, April.
    3. Daiqiang Zhang, 2021. "Testing Passive Versus Symmetric Beliefs In Contracting With Externalities," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 62(2), pages 723-767, May.
    4. Carlos Noton & Andrés Elberg, 2013. "Revealing Bargaining Power through Actual Wholesale Prices," Documentos de Trabajo 304, Centro de Economía Aplicada, Universidad de Chile.
    5. Bonnet, Céline & Bouamra-Mechemache, Zohra & Molina, Hugo, 2016. "The Welfare Effects of Brand Portfolio Strategies in the Soft Drink Industry: A Structural Bargaining Approach with Limited Data," 149th Seminar, October 27-28, 2016, Rennes, France 245168, European Association of Agricultural Economists.
    6. Gautam Gowrisankaran & Aviv Nevo & Robert Town, 2015. "Mergers When Prices Are Negotiated: Evidence from the Hospital Industry," American Economic Review, American Economic Association, vol. 105(1), pages 172-203, January.
    7. Joalland, Olivier & Pereau, Jean-Christophe & Rambonilaza, Tina, 2019. "Bargaining local compensation payments for the installation of new power transmission lines," Energy Economics, Elsevier, vol. 80(C), pages 75-85.
    8. William P. Rogerson, 2021. "The Upstream Pass-Through Rate, Bargaining Power and the Magnitude of the Raising Rivals’ Costs (RRC) Effect," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 59(2), pages 205-227, September.
    9. Venkat Venkatasubramanian & Yu Luo, 2018. "How much income inequality is fair? Nash bargaining solution and its connection to entropy," Papers 1806.05262, arXiv.org.
    10. Matthew Backus & Thomas Blakee & Brad Larsen & Steven Tadelis, 2020. "Sequential Bargaining in the Field: Evidence from Millions of Online Bargaining Interactions," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 135(3), pages 1319-1361.
    11. Babur De los Santos & Daniel P. O'Brien & Matthijs R. Wildenbeest, 2018. "Agency Pricing and Bargaining: Evidence from the E-Book Market," Working Papers 18-14, NET Institute.
    12. Daniel P. O'Brien, 2014. "The welfare effects of third-degree price discrimination in intermediate good markets: the case of bargaining," RAND Journal of Economics, RAND Corporation, vol. 45(1), pages 92-115, March.
    13. Howard Smith & Walter Beckert & Yuya Takahashi, 2020. "Competition in a spatially-differentiated product market with negotiated prices," Economics Series Working Papers 921, University of Oxford, Department of Economics.
    14. Herr, A. & Saric, A., 2016. "The Welfare Effects of Single Rooms in German Nursing Homes: A Structural Approach," Health, Econometrics and Data Group (HEDG) Working Papers 16/23, HEDG, c/o Department of Economics, University of York.
    15. Hanato, Shunsuke, 2019. "Simultaneous-offers bargaining with a mediator," Games and Economic Behavior, Elsevier, vol. 117(C), pages 361-379.
    16. Rey, Patrick & Verge, T., 2016. "Secret contracting in multilateral relations," TSE Working Papers 16-744, Toulouse School of Economics (TSE), revised Dec 2020.
    17. Mattoo, Aaditya, 1999. "Can no antitrust policy be better than some antitrust policy?," Policy Research Working Paper Series 2191, The World Bank.
    18. Adriana Breccia, 2006. "Sequential Bargaining in a Stochastic Environment," Discussion Papers 06/07, Department of Economics, University of York.
    19. Jason Allen & Robert Clark & Jean-François Houde, 2019. "Search Frictions and Market Power in Negotiated-Price Markets," Journal of Political Economy, University of Chicago Press, vol. 127(4), pages 1550-1598.
    20. Dobson, Paul W. & Waterson, Michael, 2007. "The competition effects of industry-wide vertical price fixing in bilateral oligopoly," International Journal of Industrial Organization, Elsevier, vol. 25(5), pages 935-962, October.

    More about this item

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets

    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:ucp:jpolec:doi:10.1086/700729. 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: Journals Division (email available below). General contact details of provider: https://www.journals.uchicago.edu/JPE .

    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.