IDEAS home Printed from https://ideas.repec.org/a/wly/canjec/v48y2015i3p924-939.html
   My bibliography  Save this article

(Un)stable vertical collusive agreements

Author

Listed:
  • Jean J. Gabszewicz
  • Skerdilajda Zanaj

Abstract

In this paper, we extend the concept of stability to vertical collusive agreements involving downstream and upstream firms, using a setup of successive Cournot oligopolies. We show that a stable vertical agreement, the unanimous vertical agreement involving all downstream and upstream firms, always exists. Thus, stable vertical collusive agreements exist even for market structures in which horizontal cartels would be unstable. We also show that there are economies for which the unanimous agreement is not the only stable one. Furthermore, the Stigler statement according to which the only ones who benefit from a collusive agreement are the outsiders need not be valid in vertical agreements. Accords collusifs verticaux stables et instables. Ce texte utilise une approche en termes d’oligopoles à la Cournot successifs pour développer le concept de stabilité et l’appliquer aux accords collusifs verticaux impliquant des firmes en amont et en aval. On montre qu’un accord vertical stable existe toujours : l’accord vertical unanime impliquant toutes les firmes en amont et en aval. Des accords collusifs verticaux existent même pour des structures de marché dans lesquels les cartels horizontaux seraient instables. On montre aussi qu’il existe des économies pour lesquelles l’accord unanime n’est pas la seule solution stable. De plus, l’assertion de Stigler à savoir que les seuls qui bénéficient d’un accord collusif sont les acteurs de l’extérieur de ces accords n’est pas nécessairement valide pour les accords verticaux.

Suggested Citation

  • Jean J. Gabszewicz & Skerdilajda Zanaj, 2015. "(Un)stable vertical collusive agreements," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 48(3), pages 924-939, August.
  • Handle: RePEc:wly:canjec:v:48:y:2015:i:3:p:924-939
    DOI: 10.1111/caje.12163
    as

    Download full text from publisher

    File URL: https://doi.org/10.1111/caje.12163
    Download Restriction: no

    File URL: https://libkey.io/10.1111/caje.12163?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
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Fã–Rster, Manuel & Mauleon, Ana & Vannetelbosch, Vincent J., 2016. "Trust and manipulation in social networks," Network Science, Cambridge University Press, vol. 4(2), pages 216-243, June.
    2. Fujita,Masahisa & Thisse,Jacques-François, 2013. "Economics of Agglomeration," Cambridge Books, Cambridge University Press, number 9781107001411, January.
    3. Belleflamme,Paul & Peitz,Martin, 2010. "Industrial Organization," Cambridge Books, Cambridge University Press, number 9780521681599, November.
    4. Stephen W. Salant & Sheldon Switzer & Robert J. Reynolds, 1983. "Losses From Horizontal Merger: The Effects of an Exogenous Change in Industry Structure on Cournot-Nash Equilibrium," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 98(2), pages 185-199.
    5. Jean J. Gabszewicz & Skerdilajda Zanaj, 2015. "(Un)stable vertical collusive agreements," Canadian Journal of Economics, Canadian Economics Association, vol. 48(3), pages 924-939, August.
    6. Géarard Gaudet & Ngo Van Long, 1996. "Vertical Integration, Foreclosure, and profits in the Presence of Double Marginalization," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 5(3), pages 409-432, September.
    7. PAPAVASILIOU, Anthony & HE, Yi & SVOBODA, Alva, 2013. "Self-commitment of combined cycle units under electricity price uncertainty," LIDAM Discussion Papers CORE 2013051, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    8. Claude d'Aspremont & Alexis Jacquemin & Jean Jaskold Gabszewicz & John A. Weymark, 1983. "On the Stability of Collusive Price Leadership," Canadian Journal of Economics, Canadian Economics Association, vol. 16(1), pages 17-25, February.
    9. Michael A. Salinger, 1988. "Vertical Mergers and Market Foreclosure," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 103(2), pages 345-356.
    10. Hindriks, Jean & Myles, Gareth D., 2013. "Intermediate Public Economics," MIT Press Books, The MIT Press, edition 2, volume 1, number 0262018691, December.
    11. Jean J. Gabszewicz & Skerdilajda Zanaj, 2011. "Free entry in successive oligopolies," International Journal of Economic Theory, The International Society for Economic Theory, vol. 7(2), pages 179-188, June.
    12. BAUWENS, Luc & otranto, EDOARDO, 2013. "Modeling the dependence of conditional correlations on volatility," LIDAM Discussion Papers CORE 2013014, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    13. Volker Nocke & Lucy White, 2007. "Do Vertical Mergers Facilitate Upstream Collusion?," American Economic Review, American Economic Association, vol. 97(4), pages 1321-1339, September.
    14. George J. Stigler, 1950. "The Development of Utility Theory. II," Journal of Political Economy, University of Chicago Press, vol. 58, pages 373-373.
    15. Nigar Hashimzade & Jean Hindriks & Gareth D. Myles, 2006. "Solutions Manual to Accompany Intermediate Public Economics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262582694, December.
    16. Salvatore Piccolo & Jeanine Miklós-Thal, 2012. "Colluding through suppliers," RAND Journal of Economics, RAND Corporation, vol. 43(3), pages 492-513, September.
    17. Zu, Lei & Zhang, Jin & Wang, Shouyang, 2012. "The size of stable cartels: An analytical approach," International Journal of Industrial Organization, Elsevier, vol. 30(2), pages 217-222.
    18. Gaertner,Wulf & Schokkaert,Erik, 2011. "Empirical Social Choice," Cambridge Books, Cambridge University Press, number 9781107013940.
    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. François Maniquet & Massimo Morelli, 2015. "Approval quorums dominate participation quorums," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 45(1), pages 1-27, June.
    2. Jean J. Gabszewicz & Skerdilajda Zanaj, 2015. "(Un)stable vertical collusive agreements," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 48(3), pages 924-939, August.
    3. Cristina Pardo-Garcia & Jose Sempere-Monerris, 2015. "Equilibrium mergers in a composite good industry with efficiencies," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 6(1), pages 101-127, March.
    4. RUSSO, Federica & MOUCHART, Michel & WUNSCH, Guillaume, 2013. "Confounding and control in a multivariate system. An issue in causal attribution," LIDAM Discussion Papers CORE 2013068, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    5. DI SUMMA, Marco, 2013. "The convex hull of the all-different system with the inclusion property: a simple proof," LIDAM Discussion Papers CORE 2013069, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).

    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. François Maniquet & Massimo Morelli, 2015. "Approval quorums dominate participation quorums," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 45(1), pages 1-27, June.
    2. Cristina Pardo-Garcia & Jose Sempere-Monerris, 2015. "Equilibrium mergers in a composite good industry with efficiencies," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 6(1), pages 101-127, March.
    3. DI SUMMA, Marco, 2013. "The convex hull of the all-different system with the inclusion property: a simple proof," LIDAM Discussion Papers CORE 2013069, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    4. Ana Mauleon & Elena Molis & Vincent Vannetelbosch & Wouter Vergote, 2014. "Dominance invariant one-to-one matching problems," International Journal of Game Theory, Springer;Game Theory Society, vol. 43(4), pages 925-943, November.
    5. RUSSO, Federica & MOUCHART, Michel & WUNSCH, Guillaume, 2013. "Confounding and control in a multivariate system. An issue in causal attribution," LIDAM Discussion Papers CORE 2013068, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    6. Paul Belleflamme & Paul Bloch, 2013. "Dynamic Protection of Innovations through Patents and Trade Secrets," CESifo Working Paper Series 4486, CESifo.
    7. VARDAR, N. Baris, 2013. "Imperfect resource substitution and optimal transition to clean technologies," LIDAM Discussion Papers CORE 2013072, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    8. LAMAS, ALEJANDRO & CHEVALIER, Philippe, 2013. "Jumping the hurdles for collaboration: fairness in operations pooling in the absence of transfer payments," LIDAM Discussion Papers CORE 2013073, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    9. Fã–Rster, Manuel & Mauleon, Ana & Vannetelbosch, Vincent J., 2016. "Trust and manipulation in social networks," Network Science, Cambridge University Press, vol. 4(2), pages 216-243, June.
    10. WOLSEY, Laurence & YAMAN , Hand & ,, 2013. "Continuous knapsack sets with divisible capacities," LIDAM Discussion Papers CORE 2013063, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    11. PAPAVASILIOU, Anthony & HE, Yi & SVOBODA, Alva, 2013. "Self-commitment of combined cycle units under electricity price uncertainty," LIDAM Discussion Papers CORE 2013051, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    12. Zanaj Skerdilajda, 2010. "Successive Oligopolies and Decreasing Returns," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 10(1), pages 1-26, November.
    13. Belleflamme,Paul & Peitz,Martin, 2015. "Industrial Organization," Cambridge Books, Cambridge University Press, number 9781107687899, January.
    14. MADANI, Mehdi & VAN VYVE, Mathieu, 2013. "A new formulation of the European day-ahead electricity market problem and its algorithmic consequences," LIDAM Discussion Papers CORE 2013074, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    15. 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.
    16. Zanaj Skerdilajda, 2010. "Successive Oligopolies and Decreasing Returns," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 10(1), pages 1-26, November.
    17. Chevalier, Philippe & Lamas, Alejandro & Lu, Liang & Mlinar, Tanja, 2015. "Revenue management for operations with urgent orders," European Journal of Operational Research, Elsevier, vol. 240(2), pages 476-487.
    18. GRIGIS DE STEFANO, Federico, 2014. "Strategic stability of equilibria: the missing paragraph," LIDAM Discussion Papers CORE 2014015, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    19. Cremer Helmuth & Pestieau Pierre, 2018. "Means-Tested Long-Term Care and Family Transfers," German Economic Review, De Gruyter, vol. 19(3), pages 351-364, August.
    20. Bauwens, Luc & Grigoryeva, Lyudmila & Ortega, Juan-Pablo, 2016. "Estimation and empirical performance of non-scalar dynamic conditional correlation models," Computational Statistics & Data Analysis, Elsevier, vol. 100(C), pages 17-36.

    More about this item

    JEL classification:

    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models
    • D02 - Microeconomics - - General - - - Institutions: Design, Formation, Operations, and Impact
    • G01 - Financial Economics - - General - - - Financial Crises

    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:wly:canjec:v:48:y:2015:i:3:p:924-939. 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: Wiley Content Delivery (email available below). General contact details of provider: https://doi.org/10.1111/(ISSN)1540-5982 .

    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.