IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/28188.html
   My bibliography  Save this paper

Networks of Collaboration in Multi-market Oligopolies

Author

Listed:
  • Billand, Pascal
  • Bravard, Christophe
  • Chakrabarti, Subhadip
  • Sarangi, Sudipta

Abstract

The result that firms competing in a Cournot oligopoly with pairwise collaboration form a complete network under zero or negligible link formation costs provided by Goyal and Joshi (2003) no longer hold in multi-market oligopolies. Link formation in one market affects a firm’s profitability in another market in a possibly negative way resulting in the fact that it is no longer always profitable in an unambiguous manner. With non-negative link formation costs, the stable networks have a dominant group architecture and efficient networks are charecterized by at most one non-singleton component with a geodesic distance between players that is less than three.

Suggested Citation

  • Billand, Pascal & Bravard, Christophe & Chakrabarti, Subhadip & Sarangi, Sudipta, 2010. "Networks of Collaboration in Multi-market Oligopolies," MPRA Paper 28188, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:28188
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/28188/1/MPRA_paper_28188.pdf
    File Function: original version
    Download Restriction: no

    File URL: https://mpra.ub.uni-muenchen.de/49781/8/MPRA_paper_49781.pdf
    File Function: revised version
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Jean Tirole, 1988. "The Theory of Industrial Organization," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262200716, December.
    2. Pascal Billand & Christophe Bravard & Subhadip Chakrabarti & Sudipta Sarangi, 2009. "Corporate Espionage," Discussion Papers of DIW Berlin 854, DIW Berlin, German Institute for Economic Research.
    3. Jackson, Matthew O., 2005. "Allocation rules for network games," Games and Economic Behavior, Elsevier, vol. 51(1), pages 128-154, April.
    4. Subhadip Chakrabarti & Hans Haller, 2011. "An Analysis Of Advertising Wars," Manchester School, University of Manchester, vol. 79(1), pages 100-124, January.
    5. Jackson, Matthew O. & Wolinsky, Asher, 1996. "A Strategic Model of Social and Economic Networks," Journal of Economic Theory, Elsevier, vol. 71(1), pages 44-74, October.
    6. Goyal, Sanjeev & Joshi, Sumit, 2003. "Networks of collaboration in oligopoly," Games and Economic Behavior, Elsevier, vol. 43(1), pages 57-85, April.
    7. Sanjeev Goyal & Sumit Joshi, 2006. "Unequal connections," International Journal of Game Theory, Springer;Game Theory Society, vol. 34(3), pages 319-349, October.
    8. Bulow, Jeremy I & Geanakoplos, John D & Klemperer, Paul D, 1985. "Multimarket Oligopoly: Strategic Substitutes and Complements," Journal of Political Economy, University of Chicago Press, vol. 93(3), pages 488-511, June.
    9. Goyal, Sanjeev & Joshi, Sumit, 2003. "Networks of collaboration in oligopoly," Games and Economic Behavior, Elsevier, vol. 43(1), pages 57-85, April.
    10. Spence, Michael, 1976. "Product Differentiation and Welfare," American Economic Review, American Economic Association, vol. 66(2), pages 407-414, May.
    11. Xavier Vives, 2001. "Oligopoly Pricing: Old Ideas and New Tools," MIT Press Books, The MIT Press, edition 1, volume 1, number 026272040x, December.
    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. Agbo, Maxime & Rousselière, Damien & Salanié, Julien, 2015. "Agricultural marketing cooperatives with direct selling: A cooperative–non-cooperative game," Journal of Economic Behavior & Organization, Elsevier, vol. 109(C), pages 56-71.
    2. repec:hal:journl:halshs-01098762 is not listed 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. Pascal Billand & Christophe Bravard & Subhadip Chakrabarti & Sudipta Sarangi, 2014. "A note on networks of collaboration in multi-market oligopolies," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 53(2), pages 325-335, September.
    2. Ushchev, Philip & Zenou, Yves, 2018. "Price competition in product variety networks," Games and Economic Behavior, Elsevier, vol. 110(C), pages 226-247.
    3. D'Ignazio, A. & Giovannetti, E., 2004. "From Exogenous to Endogenous Networks: Internet Applications," Cambridge Working Papers in Economics 0445, Faculty of Economics, University of Cambridge.
    4. Carayol, Nicolas & Roux, Pascale, 2005. "Self-organizing Innovation Networks: When do Small Worlds Emerge?," European Journal of Economic and Social Systems, Lavoisier, vol. 18(2), pages 307-332.
    5. Jackson, Matthew O. & Zenou, Yves, 2015. "Games on Networks," Handbook of Game Theory with Economic Applications,, Elsevier.
    6. Bajeux-Besnainou, Isabelle & Joshi, Sumit & Vonortas, Nicholas, 2010. "Uncertainty, networks and real options," Journal of Economic Behavior & Organization, Elsevier, vol. 75(3), pages 523-541, September.
    7. Mauro Caminati, 2012. "Self sustaining R&D networks," Department of Economics University of Siena 653, Department of Economics, University of Siena.
    8. Mauleon, Ana & Sempere-Monerris, Jose J. & Vannetelbosch, Vincent J., 2011. "Networks of manufacturers and retailers," Journal of Economic Behavior & Organization, Elsevier, vol. 77(3), pages 351-367, March.
    9. Hellmann, Tim & Staudigl, Mathias, 2014. "Evolution of social networks," European Journal of Operational Research, Elsevier, vol. 234(3), pages 583-596.
    10. Miyauchi, Yuhei, 2016. "Structural estimation of pairwise stable networks with nonnegative externality," Journal of Econometrics, Elsevier, vol. 195(2), pages 224-235.
    11. Deroian, F., 2008. "Dissemination of spillovers in cost-reducing alliances," Research in Economics, Elsevier, vol. 62(1), pages 34-44, March.
    12. Dawid, Herbert & Hellmann, Tim, 2014. "The evolution of R&D networks," Journal of Economic Behavior & Organization, Elsevier, vol. 105(C), pages 158-172.
    13. Hellmann, Tim & Landwehr, Jakob, 2014. "Stable Networks in Homogeneous Societies," Center for Mathematical Economics Working Papers 517, Center for Mathematical Economics, Bielefeld University.
    14. Sumit Joshi & Poorvi Vora, 2013. "Weak and strong multimarket bidding rings," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 53(3), pages 657-696, August.
    15. Rohith D. Vallam & C.A. Subramanian & Ramasuri Narayanam & Y. Narahari & N. Srinath, 2014. "Strategic Network Formation with Localized Pay-offs," Studies in Microeconomics, , vol. 2(1), pages 63-119, June.
    16. Christophe Bravard & Sudipta Sarangi & PASCAL BILLAND & CHRISTOPHE BRAVARD & SUBHADIP CHAKRABARTI & SUDIPTA SARANGI, 2016. "Business Intelligence and Multimarket Competition," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 18(2), pages 248-267, April.
    17. Grandjean, G. & Tellone, D. & Vergote, W., 2017. "Endogenous network formation in a Tullock contest," Mathematical Social Sciences, Elsevier, vol. 85(C), pages 1-10.
    18. Alessio D'Ignazio & Emanuele Giovannetti, 2006. "From Exogenous To Endogenous Economic Networks: Internet Applications," Journal of Economic Surveys, Wiley Blackwell, vol. 20(5), pages 757-796, December.
    19. Marco Marini, 2007. "An Overview of Coalition & Network Formation Models for Economic Applications," Working Papers 0712, University of Urbino Carlo Bo, Department of Economics, Society & Politics - Scientific Committee - L. Stefanini & G. Travaglini, revised 2007.
    20. Filipp Ushchev & Yves Zenou, 2018. "Price competition in product variety networks," ULB Institutional Repository 2013/387738, ULB -- Universite Libre de Bruxelles.

    More about this item

    Keywords

    networks; collaboration; R & D;
    All these keywords.

    JEL classification:

    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
    • L20 - Industrial Organization - - Firm Objectives, Organization, and Behavior - - - General
    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General

    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:28188. 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.