IDEAS home Printed from https://ideas.repec.org/a/oup/restud/v78y2011i1p83-111.html
   My bibliography  Save this article

Dynamic Price Competition with Network Effects

Author

Listed:
  • Luís Cabral

Abstract

I consider a dynamic model of competition between two proprietary networks. Consumers die and are replaced with a constant hazard rate, and firms compete for new consumers to join their network by offering network entry prices. I derive a series of results pertaining to (a) existence and uniqueness of symmetric equilibria, (b) monotonicity of the pricing function (e.g. larger networks set higher prices), (c) network size dynamics (increasing dominance vs. reversion to the mean), and (d) firm value (how it varies with network effects). Finally, I apply my general framework to the study of termination charges in wireless telecommunications. I consider various forms of regulation and examine their impact on firm profits and market share dynamics. Copyright 2011, Oxford University Press.

Suggested Citation

  • Luís Cabral, 2011. "Dynamic Price Competition with Network Effects," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 78(1), pages 83-111.
  • Handle: RePEc:oup:restud:v:78:y:2011:i:1:p:83-111
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1093/restud/rdq007
    Download Restriction: Access to full text is restricted to subscribers.
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Jullien, Bruno, 2000. "Competing in Network Industries: Divide and Conquer," IDEI Working Papers 112, Institut d'Économie Industrielle (IDEI), Toulouse, revised Jul 2001.
    2. Joseph Farrell & Garth Saloner, 1985. "Standardization, Compatibility, and Innovation," RAND Journal of Economics, The RAND Corporation, vol. 16(1), pages 70-83, Spring.
    3. Michel Benaim & Emmanuelle Auriol, 2000. "Standardization in Decentralized Economies," American Economic Review, American Economic Association, vol. 90(3), pages 550-570, June.
    4. Michihiro, Kandori & Rob, Rafael, 1998. "Bandwagon Effects and Long Run Technology Choice," Games and Economic Behavior, Elsevier, vol. 22(1), pages 30-60, January.
    5. Jean-Jacques Laffont & Patrick Rey & Jean Tirole, 1998. "Network Competition: I. Overview and Nondiscriminatory Pricing," RAND Journal of Economics, The RAND Corporation, vol. 29(1), pages 1-37, Spring.
    6. Doraszelski, Ulrich & Pakes, Ariel, 2007. "A Framework for Applied Dynamic Analysis in IO," Handbook of Industrial Organization, in: Mark Armstrong & Robert Porter (ed.), Handbook of Industrial Organization, edition 1, volume 3, chapter 30, pages 1887-1966, Elsevier.
    7. Cabral, Luis M. B., 2002. "Increasing Dominance with No Efficiency Effect," Journal of Economic Theory, Elsevier, vol. 102(2), pages 471-479, February.
    8. Nicholas Economides, 1997. "The Economics of Networks," Brazilian Electronic Journal of Economics, Department of Economics, Universidade Federal de Pernambuco, vol. 1(0), December.
    9. Glenn Ellison & Drew Fudenberg, 2003. "Knife-Edge or Plateau: When Do Market Models Tip?," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 118(4), pages 1249-1278.
    10. Arthur, W Brian, 1989. "Competing Technologies, Increasing Returns, and Lock-In by Historical Events," Economic Journal, Royal Economic Society, vol. 99(394), pages 116-131, March.
    11. Toker Doganoglu, 2003. "Dynamic Price Competition with Consumption Externalities," Netnomics, Springer, vol. 5(1), pages 43-69, May.
    12. Goolsbee, Austan & Klenow, Peter J, 2002. "Evidence on Learning and Network Externalities in the Diffusion of Home Computers," Journal of Law and Economics, University of Chicago Press, vol. 45(2), pages 317-343, October.
    13. Marc Rysman, 2004. "Competition Between Networks: A Study of the Market for Yellow Pages," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 71(2), pages 483-512.
    14. Jiawei Chen & Ulrich Doraszelski & Joseph E. Harrington, Jr., 2009. "Avoiding market dominance: product compatibility in markets with network effects," RAND Journal of Economics, RAND Corporation, vol. 40(3), pages 455-485, September.
    15. Neil Gandal, 1994. "Hedonic Price Indexes for Spreadsheets and an Empirical Test for Network Externalities," RAND Journal of Economics, The RAND Corporation, vol. 25(1), pages 160-170, Spring.
    16. Jean-Charles Rochet & Jean Tirole, 2003. "Platform Competition in Two-Sided Markets," Journal of the European Economic Association, MIT Press, vol. 1(4), pages 990-1029, June.
    17. Gerard Llobet & Michael Manove, 2006. "Network Size and Network Capture," Working Papers wp2006_0604, CEMFI.
    18. Cabral, Luis M B & Riordan, Michael H, 1994. "The Learning Curve, Market Dominance, and Predatory Pricing," Econometrica, Econometric Society, vol. 62(5), pages 1115-1140, September.
    19. Farrell, Joseph & Klemperer, Paul, 2007. "Coordination and Lock-In: Competition with Switching Costs and Network Effects," Handbook of Industrial Organization, in: Mark Armstrong & Robert Porter (ed.), Handbook of Industrial Organization, edition 1, volume 3, chapter 31, pages 1967-2072, Elsevier.
    20. Doraszelski, Ulrich & Satterthwaite, Mark, 2007. "Computable Markov-Perfect Industry Dynamics: Existence, Purification, and Multiplicity," CEPR Discussion Papers 6212, C.E.P.R. Discussion Papers.
    21. Gilbert, Richard J & Newbery, David M G, 1982. "Preemptive Patenting and the Persistence of Monopoly," American Economic Review, American Economic Association, vol. 72(3), pages 514-526, June.
    22. Christopher Budd & Christopher Harris & John Vickers, 1993. "A Model of the Evolution of Duopoly: Does the Asymmetry between Firms Tend to Increase or Decrease?," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 60(3), pages 543-573.
    23. Caplin, Andrew & Nalebuff, Barry, 1991. "Aggregation and Imperfect Competition: On the Existence of Equilibrium," Econometrica, Econometric Society, vol. 59(1), pages 25-59, January.
    24. Robin S. Lee, 2013. "Vertical Integration and Exclusivity in Platform and Two-Sided Markets," American Economic Review, American Economic Association, vol. 103(7), pages 2960-3000, December.
    25. Jean-Jacques Laffont & Patrick Rey & Jean Tirole, 1998. "Network Competition: II. Price Discrimination," RAND Journal of Economics, The RAND Corporation, vol. 29(1), pages 38-56, Spring.
    26. Luís M. B. Cabral & Miguel Villas-Boas, 2005. "Bertrand Supertraps," Management Science, INFORMS, vol. 51(4), pages 599-613, April.
    27. Katz, Michael L & Shapiro, Carl, 1985. "Network Externalities, Competition, and Compatibility," American Economic Review, American Economic Association, vol. 75(3), pages 424-440, June.
    28. Athey, Susan & Schmutzler, Armin, 2001. "Investment and Market Dominance," RAND Journal of Economics, The RAND Corporation, vol. 32(1), pages 1-26, Spring.
    29. Beggs, Alan W & Klemperer, Paul, 1992. "Multi-period Competition with Switching Costs," Econometrica, Econometric Society, vol. 60(3), pages 651-666, May.
    30. Cantillon, Estelle & Yin, Pai-Ling, 2007. "How and when do markets tip? Lessons from the Battle of the Bund," Working Paper Series 766, European Central Bank.
    31. Matthew Mitchell & Andrzej Skrzypacz, 2006. "Network externalities and long-run market shares," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 29(3), pages 621-648, 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. Jullien, Bruno & Pavan, Alessandro & Rysman, Marc, 2021. "Two-sided Markets, Pricing, and Network Effects," TSE Working Papers 21-1238, Toulouse School of Economics (TSE).
    2. Belleflamme,Paul & Peitz,Martin, 2015. "Industrial Organization," Cambridge Books, Cambridge University Press, number 9781107687899, January.
    3. Colla, Paolo & Garcia, Filomena, 2016. "Technology adoption: Hysteresis and absence of lock-in," Economics Letters, Elsevier, vol. 141(C), pages 107-111.
    4. Jiawei Chen & Ulrich Doraszelski & Joseph E. Harrington, Jr., 2009. "Avoiding market dominance: product compatibility in markets with network effects," RAND Journal of Economics, RAND Corporation, vol. 40(3), pages 455-485, September.
    5. Heli Koski & Tobias Kretschmer, 2004. "Survey on Competing in Network Industries: Firm Strategies, Market Outcomes, and Policy Implications," Journal of Industry, Competition and Trade, Springer, vol. 4(1), pages 5-31, March.
    6. Garcia-Swartz, Daniel D. & Garcia-Vicente, Florencia, 2015. "Network effects on the iPhone platform: An empirical examination," Telecommunications Policy, Elsevier, vol. 39(10), pages 877-895.
    7. Daniel Birke, 2009. "The Economics Of Networks: A Survey Of The Empirical Literature," Journal of Economic Surveys, Wiley Blackwell, vol. 23(4), pages 762-793, September.
    8. Baraldi, A. Laura, 2008. "Network Externalities and Critical Mass in the Mobile Telephone Network: a Panel Data Estimation," MPRA Paper 13373, University Library of Munich, Germany.
    9. Corrado Benassi & Marcella Scrimitore, 2017. "Income Distribution in Network Markets," Journal of Industry, Competition and Trade, Springer, vol. 17(3), pages 251-271, September.
    10. Norbäck, Pehr-Johan & Persson, Lars & Tå̊g, Joacim, 2014. "Acquisitions, entry, and innovation in oligopolistic network industries," International Journal of Industrial Organization, Elsevier, vol. 37(C), pages 1-12.
    11. Jiawei Chen-super-†, 2016. "How Do Switching Costs Affect Market Concentration and Prices in Network Industries?," Journal of Industrial Economics, Wiley Blackwell, vol. 64(2), pages 226-254, June.
    12. Oz Shy, 2011. "A Short Survey of Network Economics," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 38(2), pages 119-149, March.
    13. Drew Fudenberg, 2015. "Tirole's Industrial Regulation and Organization Legacy in Economics," Scandinavian Journal of Economics, Wiley Blackwell, vol. 117(3), pages 771-800, July.
    14. Hattori, Keisuke & Zennyo, Yusuke, 2018. "Pricing and Diffusion of Durables with Network Externalities," MPRA Paper 86203, University Library of Munich, Germany.
    15. Tingting He & Dmitri Kuksov & Chakravarthi Narasimhan, 2017. "Free in-network pricing as an entry-deterrence strategy," Quantitative Marketing and Economics (QME), Springer, vol. 15(3), pages 279-303, September.
    16. Hattori, Keisuke & Zennyo, Yusuke, 2018. "Heterogeneous Consumer Expectations and Monopoly Pricing for Durables with Network Externalities," MPRA Paper 89893, University Library of Munich, Germany, revised 08 Nov 2018.
    17. Markovich, Sarit, 2008. "Snowball: A dynamic oligopoly model with indirect network effects," Journal of Economic Dynamics and Control, Elsevier, vol. 32(3), pages 909-938, March.
    18. Cabral, Luís, 2014. "Aftermarket power and foremarket competition," International Journal of Industrial Organization, Elsevier, vol. 35(C), pages 60-69.
    19. Sobolewski, Maciej & Czajkowski, MikoŁaj, 2012. "Network effects and preference heterogeneity in the case of mobile telecommunications markets," Telecommunications Policy, Elsevier, vol. 36(3), pages 197-211.
    20. repec:zbw:bofism:2006_038 is not listed on IDEAS
    21. Jean-Pierre H. Dubé & Günter J. Hitsch & Pradeep K. Chintagunta, 2010. "Tipping and Concentration in Markets with Indirect Network Effects," Marketing Science, INFORMS, vol. 29(2), pages 216-249, 03-04.

    More about this item

    JEL classification:

    • 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:oup:restud:v:78:y:2011:i:1:p:83-111. 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: Oxford University Press (email available below). General contact details of provider: https://academic.oup.com/restud .

    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.