IDEAS home Printed from https://ideas.repec.org/p/wpa/wuwpmi/9701003.html
   My bibliography  Save this paper

A Dynamic Model of Bertrand Competition with Entry

Author

Listed:
  • Elmar Wolfstetter

    (HUB)

  • Walter Elberfeld

    (University Koeln)

Abstract

This paper analyzes a simple, repeated game of simultaneous entry and pricing. We report a surprising property of the symmetric equilibrium solution: If the number of potential competitors is increased above two, the market breaks down with higher probability, and the competitive outcome becomes less likely. More potential competition lowers welfare - another Bertrand paradox. The model can also be applied to auctions to explore whether a revenue maximizing auctioneer should restrict the number of bidders if bidder participation is costly.

Suggested Citation

  • Elmar Wolfstetter & Walter Elberfeld, 1997. "A Dynamic Model of Bertrand Competition with Entry," Microeconomics 9701003, University Library of Munich, Germany.
    • Handle: RePEc:wpa:wuwpmi:9701003
    Note: ps-file
    as

    Download full text from publisher

    File URL: https://econwpa.ub.uni-muenchen.de/econ-wp/mic/papers/9701/9701003.pdf
    Download Restriction: no
    File URL: https://econwpa.ub.uni-muenchen.de/econ-wp/mic/papers/9701/9701003.ps.gz
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. L. Wade, 1988. "Review," Public Choice, Springer, vol. 58(1), pages 99-100, July.
    2. Wolfstetter, Elmar, 1996. "Auctions: An Introduction," Journal of Economic Surveys, Wiley Blackwell, vol. 10(4), pages 367-420, December.
    3. Posner, Richard A, 1975. "The Social Costs of Monopoly and Regulation," Journal of Political Economy, University of Chicago Press, vol. 83(4), pages 807-827, August.
    4. Dasgupta, P. & Stiglitz, J. E., 1988. "Potential competition, actual competition, and economic welfare," European Economic Review, Elsevier, vol. 32(2-3), pages 569-577, March.
    5. Roger Sherman & Thomas D. Willett, 1967. "Potential Entrants Discourage Entry," Journal of Political Economy, University of Chicago Press, vol. 75(4), pages 400-400.
    6. 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.
    7. Edward L. Millner & Michael D. Pratt & Robert J. Reilly, 1990. "Contestability in Real-Time Experimental Flow Markets," RAND Journal of Economics, The RAND Corporation, vol. 21(4), pages 584-599, Winter.
    8. Kevin Lang & Robert W. Rosenthal, 1991. "The Contractors' Game," RAND Journal of Economics, The RAND Corporation, vol. 22(3), pages 329-338, Autumn.
    9. Sharkey, William W. & Sibley, David S., 1993. "A Bertrand model of pricing and entry," Economics Letters, Elsevier, vol. 41(2), pages 199-206.
    10. Joseph Farrell, 1987. "Cheap Talk, Coordination, and Entry," RAND Journal of Economics, The RAND Corporation, vol. 18(1), pages 34-39, Spring.
    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. Peyman Khezr & Flavio M. Menezes, 2021. "Entry and social efficiency under Bertrand competition and asymmetric information," International Journal of Game Theory, Springer;Game Theory Society, vol. 50(4), pages 927-944, December.
    2. Israel J. Hernández & Elena Huergo Orejas, 2004. "Entrada y Competencia en los Servicios de Telecomunicaciones," Documentos de Trabajo del ICAE 0404, Universidad Complutense de Madrid, Facultad de Ciencias Económicas y Empresariales, Instituto Complutense de Análisis Económico.
    3. Konrad, Kai A. & Kovenock, Dan, 2012. "The lifeboat problem," European Economic Review, Elsevier, vol. 56(3), pages 552-559.
    4. Toolsema, Linda A., 2003. "Having more potential raiders weakens the takeover threat," CCSO Working Papers 200304, University of Groningen, CCSO Centre for Economic Research.
    5. Fan, Cuihong & Wolfstetter, Elmar, 2008. "Procurement with costly bidding, optimal shortlisting, and rebates," Economics Letters, Elsevier, vol. 98(3), pages 327-334, March.
    6. Sela, Aner & Kaplan, Todd, 2003. "Auctions with Private Entry Costs," CEPR Discussion Papers 4080, C.E.P.R. Discussion Papers.
    7. İlke Onur & Rasim Özcan & Bedri Taş, 2012. "Public Procurement Auctions and Competition in Turkey," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 40(3), pages 207-223, May.
    8. Maarten Janssen & Eric Rasmusen, 2002. "Bertrand Competition Under Uncertainty," Journal of Industrial Economics, Wiley Blackwell, vol. 50(1), pages 11-21, March.
    9. Toolsema, Linda A., 2007. "Having more potential raiders weakens the takeover threat," Journal of Economic Behavior & Organization, Elsevier, vol. 62(4), pages 670-685, April.
    10. Thomas, Charles J., 2002. "The effect of asymmetric entry costs on Bertrand competition," International Journal of Industrial Organization, Elsevier, vol. 20(5), pages 589-609, May.
    11. repec:dgr:rugsom:03f16 is not listed on IDEAS
    12. Bertomeu, Jeremy, 2009. "Endogenous shakeouts," International Journal of Industrial Organization, Elsevier, vol. 27(3), pages 435-440, May.
    13. Toolsema, Linda A., 2003. "Having more potential raiders weakens the takeover threat," Research Report 03F16, University of Groningen, Research Institute SOM (Systems, Organisations and Management).
    14. Vicki Knoblauch, 2002. "A Comparison of Two-Market Bertrand Duopoly and Two-Market Cournot Duopoly," Working papers 2002-14, University of Connecticut, Department of Economics.
    15. Kofi Nti, 2000. "Potential competition and coordination in a market-entry game," Journal of Economics, Springer, vol. 71(2), pages 149-165, June.
    16. Juraj Nemec & Matus Grega & Marta Orviska, 2020. "Over-bureaucratisation in public procurement: purposes and results," Public Sector Economics, Institute of Public Finance, vol. 44(2), pages 251-263.
    17. Deck, Cary A. & Thomas, Charles J., 2020. "Using experiments to compare the predictive power of models of multilateral negotiations," International Journal of Industrial Organization, Elsevier, vol. 70(C).
    18. Stähler, Frank, 1996. "The market entry paradox," Kiel Working Papers 777, Kiel Institute for the World Economy (IfW Kiel).
    19. Todd Kaplan & Aner Sela, 2022. "Second-Price Auctions with Private Entry Costs," Games, MDPI, vol. 13(5), pages 1-14, September.
    20. repec:dgr:rugccs:200304 is not listed on IDEAS
    21. Ramakanta Patra & Tadashi Sekiguchi, 2021. "Full Collusion with Entry and Incomplete Information," KIER Working Papers 1055, Kyoto University, Institute of Economic Research.

    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. Israel J. Hernández & Elena Huergo Orejas, 2004. "Entrada y Competencia en los Servicios de Telecomunicaciones," Documentos de Trabajo del ICAE 0404, Universidad Complutense de Madrid, Facultad de Ciencias Económicas y Empresariales, Instituto Complutense de Análisis Económico.
    2. Manfred Neumann, 1999. "Monopoly Welfare Losses in the Long Run," Empirica, Springer;Austrian Institute for Economic Research;Austrian Economic Association, vol. 26(1), pages 1-9, March.
    3. Atsushi Iimi, 2016. "Multidimensional Auctions for Public Energy Efficiency Projects: Evidence from Japanese Esco Market," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 49(3), pages 491-514, November.
    4. Atsushi Iimi, 2013. "Testing Low-Balling Strategy in Rural Road Procurement," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 43(3), pages 243-261, November.
    5. Marcel Boyer & Pierre Lasserre & Michel Moreaux, 2007. "The Dynamics of Industry Investments," CIRANO Working Papers 2007s-09, CIRANO.
    6. Maarten C.W. Janssen & Eric Rasmusen, 1998. "Bertrand Competition under Uncertainty," Tinbergen Institute Discussion Papers 98-083/1, Tinbergen Institute.
    7. Alexander Matros, 2007. "Contests with a Stochastic Number of Players," Working Paper 323, Department of Economics, University of Pittsburgh, revised Sep 2008.
    8. Kofi Nti, 2000. "Potential competition and coordination in a market-entry game," Journal of Economics, Springer, vol. 71(2), pages 149-165, June.
    9. Skully, David W., 1999. "The Economics Of Trq Administration," Working Papers 14584, International Agricultural Trade Research Consortium.
    10. Monderer, Dov & Tennenholtz, Moshe, 2000. "k-Price Auctions," Games and Economic Behavior, Elsevier, vol. 31(2), pages 220-244, May.
    11. Garrett van Ryzin & Gustavo Vulcano, 2004. "Optimal Auctioning and Ordering in an Infinite Horizon Inventory-Pricing System," Operations Research, INFORMS, vol. 52(3), pages 346-367, June.
    12. Lim, Wooyoung & Matros, Alexander, 2009. "Contests with a stochastic number of players," Games and Economic Behavior, Elsevier, vol. 67(2), pages 584-597, November.
    13. Sun, Daewon, 2008. "Dual mechanism for an online retailer," European Journal of Operational Research, Elsevier, vol. 187(3), pages 903-921, June.
    14. Tan Ngoc Vu & Duc Hong Vo & Michael McAleer, 2019. "Rent seeking for export licenses: Application to the Vietnam rice market," Documentos de Trabajo del ICAE 2019-13, Universidad Complutense de Madrid, Facultad de Ciencias Económicas y Empresariales, Instituto Complutense de Análisis Económico.
    15. Esa Mangeloja, 2004. "Interrelationship of economic growth and regional religious properties," ERSA conference papers ersa04p94, European Regional Science Association.
    16. Jean-Marc Siroën, 1993. "Marchés contestables, différenciation des produits et discrimination des prix," Revue Économique, Programme National Persée, vol. 44(3), pages 569-592.
    17. Kaplow, Louis & Shapiro, Carl, 2007. "Antitrust," Handbook of Law and Economics, in: A. Mitchell Polinsky & Steven Shavell (ed.), Handbook of Law and Economics, edition 1, volume 2, chapter 15, pages 1073-1225, Elsevier.
    18. Yusuke Matsuki, 2016. "A Distribution-Free Test of Monotonicity with an Application to Auctions," Working Papers e110, Tokyo Center for Economic Research.
    19. Ireland, Peter N., 2003. "Endogenous money or sticky prices?," Journal of Monetary Economics, Elsevier, vol. 50(8), pages 1623-1648, November.
    20. Giuseppe Croce & Emanuela Ghignoni, 2011. "Overeducation and spatial flexibility in Italian local labour markets," Working Papers in Public Economics 145, Department of Economics and Law, Sapienza University of Roma.

    More about this item

    JEL classification:

    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection

    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:wpa:wuwpmi:9701003. 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: EconWPA (email available below). General contact details of provider: https://econwpa.ub.uni-muenchen.de .

    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.