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Dynamic Price Competition with Network Effects

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  • Luis 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.
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Suggested Citation

  • Luis Cabral, 2008. "Dynamic Price Competition with Network Effects," Working Papers 08-4, New York University, Leonard N. Stern School of Business, Department of Economics.
  • Handle: RePEc:ste:nystbu:08-4
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    File URL: http://w4.stern.nyu.edu/economics/docs/workingpapers/2008/networksJan08.pdf
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    References listed on IDEAS

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    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. Cabral, Luis M. B., 2002. "Increasing Dominance with No Efficiency Effect," Journal of Economic Theory, Elsevier, vol. 102(2), pages 471-479, February.
    7. Nicholas Economides, 1997. "The Economics of Networks," Brazilian Electronic Journal of Economics, Department of Economics, Universidade Federal de Pernambuco, vol. 1(0), December.
    8. 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.
    9. Toker Doganoglu, 2003. "Dynamic Price Competition with Consumption Externalities," Netnomics, Springer, vol. 5(1), pages 43-69, May.
    10. 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.
    11. Marc Rysman, 2004. "Competition Between Networks: A Study of the Market for Yellow Pages," Review of Economic Studies, Oxford University Press, vol. 71(2), pages 483-512.
    12. 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.
    13. 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.
    14. 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.
    15. 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.
    16. Christopher Budd & Christopher Harris & John Vickers, 1993. "A Model of the Evolution of Duopoly: Does the Asymmetry between Firms Tend to Increase or Decrease?," Review of Economic Studies, Oxford University Press, vol. 60(3), pages 543-573.
    17. Caplin, Andrew & Nalebuff, Barry, 1991. "Aggregation and Imperfect Competition: On the Existence of Equilibrium," Econometrica, Econometric Society, vol. 59(1), pages 25-59, January.
    18. 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.
    19. 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.
    20. Luís M. B. Cabral & Miguel Villas-Boas, 2005. "Bertrand Supertraps," Management Science, INFORMS, vol. 51(4), pages 599-613, April.
    21. Katz, Michael L & Shapiro, Carl, 1985. "Network Externalities, Competition, and Compatibility," American Economic Review, American Economic Association, vol. 75(3), pages 424-440, June.
    22. Athey, Susan & Schmutzler, Armin, 2001. "Investment and Market Dominance," RAND Journal of Economics, The RAND Corporation, vol. 32(1), pages 1-26, Spring.
    23. Beggs, Alan W & Klemperer, Paul, 1992. "Multi-period Competition with Switching Costs," Econometrica, Econometric Society, vol. 60(3), pages 651-666, May.
    24. 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.
    25. 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.
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    JEL classification:

    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets

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