IDEAS home Printed from https://ideas.repec.org/p/bol/bodewp/304.html
   My bibliography  Save this paper

Optimal Punishments in Supergames With Close Substitutes

Author

Listed:
  • L. Lambertini
  • D. Sasaki

Abstract

We analyse optimal penal codes in both Bertrand and Cournot supergames with product differentiation. We prove that the relationship between optimal punishments and the security level (individually rational discounted profit stream) depends critically on the degree of supermodularity in the stage game, using a linear duopoly supergame with product differentiation. The security level in the punishment phase is reached only under extreme supermodularity, i.e., when products are perfect substitutes and firms are price setters. Finally, we show that Abreu's rule cannot be implemented under Cournot behaviour and strong demand complementarity between products.

Suggested Citation

  • L. Lambertini & D. Sasaki, 1997. "Optimal Punishments in Supergames With Close Substitutes," Working Papers 304, Dipartimento Scienze Economiche, Universita' di Bologna.
    • Handle: RePEc:bol:bodewp:304
    as

    Download full text from publisher

    File URL: https://amsacta.unibo.it/5004/1/304.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Avinash Dixit, 1979. "A Model of Duopoly Suggesting a Theory of Entry Barriers," Bell Journal of Economics, The RAND Corporation, vol. 10(1), pages 20-32, Spring.
    2. 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.
    3. Chang, Myong-Hun, 1992. "Intertemporal Product Choice and Its Effects on Collusive Firm Behavior," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 33(4), pages 773-793, November.
    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. Lin, Ming Hsin, 2022. "Pricing regime choices for international airports: A rationale for the non-discrimination principle," Economics of Transportation, Elsevier, vol. 31(C).
    2. L. Lambertini & S. Poddar & D. Sasaki, 1997. "RJVs in Product Innovation and Cartel Stability," Working Papers 272, Dipartimento Scienze Economiche, Universita' di Bologna.
    3. Ohnishi, Kazuhiro, 2019. "Capacity choice in an international mixed triopoly," MPRA Paper 94051, University Library of Munich, Germany.
    4. Margarida Catalão-Lopes, 2002. "Merge or Concentrate? Some Insights for Antitrust Policy," Working Papers w200207, Banco de Portugal, Economics and Research Department.
    5. Yasuhiko Nakamura, 2015. "Endogenous Choice of Strategic Variables in an Asymmetric Duopoly with Respect to the Demand Functions that Firms Face," Manchester School, University of Manchester, vol. 83(5), pages 546-567, September.
    6. Andrew Eckert & Tilman Klumpp & Xuejuan Su, 2017. "An Equilibrium Selection Theory of Monopolization," Southern Economic Journal, John Wiley & Sons, vol. 83(4), pages 1012-1037, April.
    7. J Hindriks & D Claude, 2006. "Strategic Privatization and Regulation Policy in Mixed Markets," The IUP Journal of Managerial Economics, IUP Publications, vol. 0(1), pages 7-26, February.
    8. John Gilbert & Onur A. Koska & Reza Oladi, 2022. "International trade, differentiated goods, and strategic asymmetry," Southern Economic Journal, John Wiley & Sons, vol. 88(3), pages 1178-1198, January.
    9. Hattori Keisuke & Lin Ming-Hsin, 2011. "Alliance Partner Choice in Markets with Vertical and Horizontal Externalities," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 11(1), pages 1-27, June.
    10. Pazo, M&z. ausco & Consuelo & Jaumandreu, Jordi, 1999. "An empirical oligopoly model of a regulated market," International Journal of Industrial Organization, Elsevier, vol. 17(1), pages 25-57, January.
    11. Mónica Correa‐López, 2007. "Price and Quantity Competition in a Differentiated Duopoly with Upstream Suppliers," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 16(2), pages 469-505, June.
    12. Bilanakosa, Christos & Heywood, John S. & Sessions, John & Theodoropoulos, Nikolaos, 2017. "Worker Training and Quality Competition," GLO Discussion Paper Series 137, Global Labor Organization (GLO).
    13. J. Anthony Cookson, 2018. "Anticipated Entry and Entry Deterrence: Evidence from the American Casino Industry," Management Science, INFORMS, vol. 64(5), pages 2325-2344, May.
    14. Marco Marini & Alberto Zevi, 2011. "‘Just one of us’: consumers playing oligopoly in mixed markets," Journal of Economics, Springer, vol. 104(3), pages 239-263, November.
    15. Luciano Fanti & Marcella Scrimitore, 2017. "The endogeneous choice of delegation in a duopoly with outsourcing to the rival," Discussion Papers 2017/219, Dipartimento di Economia e Management (DEM), University of Pisa, Pisa, Italy.
    16. L. Lambertini & D. Sasaki, 1999. "A Cost-side Analysis on Collusive Sustainability," Working Papers 355, Dipartimento Scienze Economiche, Universita' di Bologna.
    17. Roberto Burguet & Jozsef Sakovics, 2016. "Bidding for input in oligopoly," Edinburgh School of Economics Discussion Paper Series 266, Edinburgh School of Economics, University of Edinburgh.
    18. Stefano Colombo, 2016. "Mixed oligopolies and collusion," Journal of Economics, Springer, vol. 118(2), pages 167-184, June.
    19. Koichi Futagami & Makoto Okamura & Tetsuya Shinkai & Nobuhiro Mori, 2005. "Organizational Entry Deterrence Barrier:The Japanese Firm vs.the American Firm," Discussion Paper Series 23, School of Economics, Kwansei Gakuin University, revised Jan 2005.
    20. José Manuel Ordoñez de Haro, 1993. "Efectos de la publicidad estratégica en una industria con productos diferenciados," Investigaciones Economicas, Fundación SEPI, vol. 17(3), pages 527-549, September.

    More about this item

    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:bol:bodewp:304. 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: Dipartimento Scienze Economiche, Universita' di Bologna (email available below). General contact details of provider: https://edirc.repec.org/data/sebolit.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.