IDEAS home Printed from https://ideas.repec.org/p/bol/bodewp/264.html
   My bibliography  Save this paper

Prisoners` Dilemma in Duopoly Supergames

Author

Listed:
  • L. Lambertini

Abstract

The choice between quantity and price in order to stabilize collusion is modeled here. It is shown that this relocates the prisoners dilemma backwards, from the market stage to the stage where the market variable is chosen in order to sustain collusion, and where discount rates appear as the payo s. Likewise, a prisoners dilemma arises also when both the market variable and the type of behavior (cooperative or non-cooperative) are simultaneously chosen.

Suggested Citation

  • L. Lambertini, 1996. "Prisoners` Dilemma in Duopoly Supergames," Working Papers 264, Dipartimento Scienze Economiche, Universita' di Bologna.
    • Handle: RePEc:bol:bodewp:264
    as

    Download full text from publisher

    File URL: http://amsacta.unibo.it/5047/1/264.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. James W. Friedman, 1971. "A Non-cooperative Equilibrium for Supergames," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 38(1), pages 1-12.
    2. Hamilton, Jonathan H. & Slutsky, Steven M., 1990. "Endogenous timing in duopoly games: Stackelberg or cournot equilibria," Games and Economic Behavior, Elsevier, vol. 2(1), pages 29-46, March.
    3. Osborne, Martin J. & Pitchik, Carolyn, 1986. "Price competition in a capacity-constrained duopoly," Journal of Economic Theory, Elsevier, vol. 38(2), pages 238-260, April.
    4. Deneckere, R., 1983. "Duopoly supergames with product differentiation," Economics Letters, Elsevier, vol. 11(1-2), pages 37-42.
    5. Majerus, David W., 1988. "Price vs. quantity competition in oligopoly supergames," Economics Letters, Elsevier, vol. 27(3), pages 293-297.
    6. Carl Davidson & Raymond Deneckere, 1986. "Long-Run Competition in Capacity, Short-Run Competition in Price, and the Cournot Model," RAND Journal of Economics, The RAND Corporation, vol. 17(3), pages 404-415, Autumn.
    7. Levitan, Richard & Shubik, Martin, 1972. "Price Duopoly and Capacity Constraints," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 13(1), pages 111-122, February.
    8. Boyer, Marcel & Moreaux, Michel, 1987. "On Stackelberg Equilibria with Differentiated Products: The Critical Role of the Strategy Space," Journal of Industrial Economics, Wiley Blackwell, vol. 36(2), pages 217-230, December.
    9. Leonard Cheng, 1985. "Comparing Bertrand and Cournot Equilibria: A Geometric Approach," RAND Journal of Economics, The RAND Corporation, vol. 16(1), pages 146-152, Spring.
    10. Nirvikar Singh & Xavier Vives, 1984. "Price and Quantity Competition in a Differentiated Duopoly," RAND Journal of Economics, The RAND Corporation, vol. 15(4), pages 546-554, Winter.
    11. Vives, Xavier, 1985. "On the efficiency of Bertrand and Cournot equilibria with product differentation," Journal of Economic Theory, Elsevier, vol. 36(1), pages 166-175, June.
    12. Val Eugene Lambson, 1987. "Optimal Penal Codes in Price-setting Supergames with Capacity Constraints," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 54(3), pages 385-397.
    13. Rothschild, R., 1992. "On the sustainability of collusion in differentiated duopolies," Economics Letters, Elsevier, vol. 40(1), pages 33-37, September.
    14. Okuguchi, Koji, 1987. "Equilibrium prices in the Bertrand and Cournot oligopolies," Journal of Economic Theory, Elsevier, vol. 42(1), pages 128-139, June.
    15. Abreu, Dilip, 1986. "Extremal equilibria of oligopolistic supergames," Journal of Economic Theory, Elsevier, vol. 39(1), pages 191-225, June.
    16. David M. Kreps & Jose A. Scheinkman, 1983. "Quantity Precommitment and Bertrand Competition Yield Cournot Outcomes," Bell Journal of Economics, The RAND Corporation, vol. 14(2), pages 326-337, Autumn.
    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. R. Cellini & L. Lambertini, 2000. "Differential Games and Oligopoly Theory: An Overview," Working Papers 369, Dipartimento Scienze Economiche, Universita' di Bologna.
    2. Luca Lambertini & Manuela Mosca, 2014. "The Bertrand Paradox, the Useless Auctioneer and the Launhardt Model," Australian Economic Papers, Wiley Blackwell, vol. 53(3-4), pages 170-183, December.
    3. Baldelli, Serena & Lambertini, Luca, 2006. "Price vs quantity in a duopoly supergame with Nash punishments," Research in Economics, Elsevier, vol. 60(3), pages 121-130, September.
    4. Cellini, Roberto & Lambertini, Luca, 1998. "A Dynamic Model of Differentiated Oligopoly with Capital Accumulation," Journal of Economic Theory, Elsevier, vol. 83(1), pages 145-155, November.
    5. Luca Lambertini, 2000. "Technology and Cartel Stability under Vertical Differentiation," German Economic Review, Verein für Socialpolitik, vol. 1(4), pages 421-442, November.
    6. Luca Lambertini, 2000. "Strategic Delegation and the Shape of Market Competition," Scottish Journal of Political Economy, Scottish Economic Society, vol. 47(5), pages 550-570, November.
    7. Banerjee, Dyuti S. & Chatterjee, Ishita, 2014. "Exploring Stackelberg profit ordering under asymmetric product differentiation," Economic Modelling, Elsevier, vol. 36(C), pages 309-315.
    8. Knittel, Christopher R. & Lepore, Jason J., 2010. "Tacit collusion in the presence of cyclical demand and endogenous capacity levels," International Journal of Industrial Organization, Elsevier, vol. 28(2), pages 131-144, March.
    9. Rees, Ray, 1993. "Collusive Equilibrium in the Great Salt Duopoly," Economic Journal, Royal Economic Society, vol. 103(419), pages 833-848, July.
    10. Aymeric Lardon, 2017. "On the Coalitional Stability of Monopoly Power in Differentiated Bertrand and Cournot Oligopolies," GREDEG Working Papers 2017-10, Groupe de REcherche en Droit, Economie, Gestion (GREDEG CNRS), Université Côte d'Azur, France.
    11. Haraguchi, Junichi & Matsumura, Toshihiro, 2014. "Price versus quantity in a mixed duopoly with foreign penetration," Research in Economics, Elsevier, vol. 68(4), pages 338-353.
    12. Knittel, Christopher R. & Lepore, Jason J., 2010. "Tacit collusion in the presence of cyclical demand and endogenous capacity levels," International Journal of Industrial Organization, Elsevier, vol. 28(2), pages 131-144, March.
    13. Belleflamme,Paul & Peitz,Martin, 2015. "Industrial Organization," Cambridge Books, Cambridge University Press, number 9781107687899, September.
    14. Rothschild, R., 1995. "Sustaining collusion when the choice of strategic variable is endogenous," Journal of Economic Behavior & Organization, Elsevier, vol. 28(3), pages 373-385, December.
    15. Lambertini, Luca & Poddar, Sougata & Sasaki, Dan, 2002. "Research joint ventures, product differentiation, and price collusion," International Journal of Industrial Organization, Elsevier, vol. 20(6), pages 829-854, June.
    16. Lambertini, Luca & Marattin, Luigi, 2021. "On prices’ cyclical behaviour in oligopolistic markets," Research in Economics, Elsevier, vol. 75(1), pages 79-86.
    17. Attila Tasnádi, 2016. "Endogenous timing of moves in Bertrand–Edgeworth triopolies," International Journal of Economic Theory, The International Society for Economic Theory, vol. 12(4), pages 317-334, December.
    18. Vettas, Nikolaos & Biglaiser, Gary, 2004. "Dynamic Price Competition with Capacity Constraints and Strategic Buyers," CEPR Discussion Papers 4315, C.E.P.R. Discussion Papers.
    19. Lambertini, Luca & Schultz, Christian, 2003. "Price or quantity in tacit collusion?," Economics Letters, Elsevier, vol. 78(1), pages 131-137, January.
    20. Manipushpak Mitra & Rupayan Pal & Arindam Paul & P. M. Sharada, 2020. "Equilibrium Coexistence of Public and Private Firms and the Plausibility of Price Competition," Journal of Institutional and Theoretical Economics (JITE), Mohr Siebeck, Tübingen, vol. 176(2), pages 217-242.

    More about this item

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • 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:bol:bodewp:264. 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.