IDEAS home Printed from https://ideas.repec.org/p/tin/wpaper/19980083.html

Bertrand Competition under Uncertainty

Author

Listed:
  • Maarten C.W. Janssen

    (Erasmus University Rotterdam)

  • Eric Rasmusen

    (Indiana University)

Abstract

Consider a Bertrand model in which each firm may be inactive with aknown probability, so the number of active firms is uncertain. Thissimple model has a mixed-strategy equilibrium in which industryprofits are positive and decline with the number of firms, the samefeatures which make the Cournot model attractive. Unlike in a Cournotmodel with similar incomplete information, Bertrand profits alwaysncrease in the probability other firms are inactive. Profits declinemore sharply than in the Cournot model, and the pattern is similar tothat found by Bresnahan & Reiss (1991).

Suggested Citation

  • Maarten C.W. Janssen & Eric Rasmusen, 1998. "Bertrand Competition under Uncertainty," Tinbergen Institute Discussion Papers 98-083/1, Tinbergen Institute.
    • Handle: RePEc:tin:wpaper:19980083
    as

    Download full text from publisher

    File URL: https://papers.tinbergen.nl/98083.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. 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.
    2. In-Koo Cho & David M. Kreps, 1987. "Signaling Games and Stable Equilibria," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 102(2), pages 179-221.
    3. 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.
    4. Janssen, Maarten C. W. & van Reeven, Peran, 1998. "Market Prices and Illegal Practices," International Review of Law and Economics, Elsevier, vol. 18(1), pages 51-60, March.
    5. McAfee, R. Preston & McMillan, John, 1987. "Auctions with a stochastic number of bidders," Journal of Economic Theory, Elsevier, vol. 43(1), pages 1-19, October.
    6. Kevin Lang & Robert W. Rosenthal, 1991. "The Contractors' Game," RAND Journal of Economics, The RAND Corporation, vol. 22(3), pages 329-338, Autumn.
    7. Spulber, Daniel F, 1995. "Bertrand Competition When Rivals' Costs Are Unknown," Journal of Industrial Economics, Wiley Blackwell, vol. 43(1), pages 1-11, March.
    8. Chantale LaCasse, 1995. "Bid Rigging and the Threat of Government Prosecution," RAND Journal of Economics, The RAND Corporation, vol. 26(3), pages 398-417, Autumn.
    9. Bresnahan, Timothy F & Reiss, Peter C, 1991. "Entry and Competition in Concentrated Markets," Journal of Political Economy, University of Chicago Press, vol. 99(5), pages 977-1009, October.
    10. 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. Belleflamme,Paul & Peitz,Martin, 2015. "Industrial Organization," Cambridge Books, Cambridge University Press, number 9781107069978, Enero-Abr.
    2. Maarten Janssen & Eric Rasmusen, 2002. "Bertrand Competition Under Uncertainty," Journal of Industrial Economics, Wiley Blackwell, vol. 50(1), pages 11-21, March.
    3. Vettas, Nikolaos & Biglaiser, Gary, 2004. "Dynamic Price Competition with Capacity Constraints and Strategic Buyers," CEPR Discussion Papers 4315, Centre for Economic Policy Research.
    4. Janssen, Maarten C.W. & Roy, Santanu, 2010. "Signaling quality through prices in an oligopoly," Games and Economic Behavior, Elsevier, vol. 68(1), pages 192-207, January.
    5. Baik, Kyung Hwan, 1995. "Horizontal mergers of price-setting firms with sunk capacity costs," The Quarterly Review of Economics and Finance, Elsevier, vol. 35(3), pages 245-256.
    6. Etro, Federico, 2016. "Research in economics and industrial organization," Research in Economics, Elsevier, vol. 70(4), pages 511-517.
    7. Levy, Yehuda John & Veiga, Andre, 2020. "On the existence of positive equilibrium profits in competitive screening markets," Games and Economic Behavior, Elsevier, vol. 124(C), pages 140-168.
    8. Zhiqi Chen & Gang Li, 2018. "Horizontal Mergers In The Presence Of Capacity Constraints," Economic Inquiry, Western Economic Association International, vol. 56(2), pages 1346-1356, April.
    9. Jovanovic, Dragan & Wey, Christian, 2012. "An equilibrium analysis of efficiency gains from mergers," DICE Discussion Papers 64, Heinrich Heine University Düsseldorf, Düsseldorf Institute for Competition Economics (DICE).
    10. Dasci, A. & Karakul, M., 2009. "Two-period dynamic versus fixed-ratio pricing in a capacity constrained duopoly," European Journal of Operational Research, Elsevier, vol. 197(3), pages 945-968, September.
    11. Jacobs, Martin & Requate, Till, 2016. "Bertrand-Edgeworth markets with increasing marginal costs and voluntary trading: Experimental evidence," Economics Working Papers 2016-01, Christian-Albrechts-University of Kiel, Department of Economics.
    12. Werner Güth & Manfred Stadler & Alexandra Zaby, 2020. "Capacity precommitment, communication, and collusive pricing: theoretical benchmark and experimental evidence," International Journal of Game Theory, Springer;Game Theory Society, vol. 49(2), pages 495-524, June.
    13. Dawid, Herbert & Kopel, Michael & Kort, Peter M., 2013. "New product introduction and capacity investment by incumbents: Effects of size on strategy," European Journal of Operational Research, Elsevier, vol. 230(1), pages 133-142.
    14. Steffen Huck & Kai A. Konrad, 2004. "Merger Profitability and Trade Policy," Scandinavian Journal of Economics, Wiley Blackwell, vol. 106(1), pages 107-122, March.
    15. Boccard Nicolas & Wauthy Xavier Y., 2010. "Ensuring Quality Provision through Capacity Regulation under Price Competition," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 10(1), pages 1-27, October.
    16. 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.
    17. repec:ctc:serie1:def11 is not listed on IDEAS
    18. Sneha Bakshi, 2020. "Limits of price competition: cost asymmetry and imperfect information," International Journal of Game Theory, Springer;Game Theory Society, vol. 49(4), pages 913-932, December.
    19. Khan, Abhimanyu & Peeters, Ronald, 2015. "Imitation by price and quantity setting firms in a differentiated market," Journal of Economic Dynamics and Control, Elsevier, vol. 53(C), pages 28-36.
    20. Anthony Creane & Carl Davidson, 2004. "Multidivisional firms, internal competition, and the merger paradox," Canadian Journal of Economics, Canadian Economics Association, vol. 37(4), pages 951-977, November.
    21. 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.

    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:tin:wpaper:19980083. 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: Tinbergen Office +31 (0)10-4088900 (email available below). General contact details of provider: https://edirc.repec.org/data/tinbenl.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.