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Dynamic Price Competition with Network Effects

  • Luis Cabral


I discuss various properties of the equilibrium, including the pricing function, the system's expected motion, and the stationary distribution of market shares. I derive several results analytically. I then confirm and extend these results by numerical computation. Finally, I use the model to estimate the barrier to entry create by network effects.

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Paper provided by Society for Economic Dynamics in its series 2007 Meeting Papers with number 326.

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Date of creation: 2007
Date of revision:
Handle: RePEc:red:sed007:326
Contact details of provider: Postal: Society for Economic Dynamics Marina Azzimonti Department of Economics Stonybrook University 10 Nicolls Road Stonybrook NY 11790 USA
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  1. Joseph Farrell & Paul Klemperer, 2006. "Co-ordination and Lock-in: Competition with Switching Costs and Network Effects," Economics Papers 2006-W07, Economics Group, Nuffield College, University of Oxford.
  2. Athey, Susan & Schmutzler, Armin, 2001. "Investment and Market Dominance," RAND Journal of Economics, The RAND Corporation, vol. 32(1), pages 1-26, Spring.
  3. Cabral, Luis M. B., 2002. "Increasing Dominance with No Efficiency Effect," Journal of Economic Theory, Elsevier, vol. 102(2), pages 471-479, February.
  4. Nicholas Economides, 1995. "The Economics of Networks," Working Papers 94-24, New York University, Leonard N. Stern School of Business, Department of Economics, revised Sep 1995.
  5. Michihiro Kandori & Rafael Rob, 1997. "Bandwagon effects and long run technology choice," Levine's Working Paper Archive 1265, David K. Levine.
  6. Arthur, W Brian, 1989. "Competing Technologies, Increasing Returns, and Lock-In by Historical Events," Economic Journal, Royal Economic Society, vol. 99(394), pages 116-31, March.
  7. Robin S. Lee, 2007. "Vertical Integration and Exclusivity in Two-Sided Markets," Working Papers 07-39, NET Institute, revised Aug 2012.
  8. Cantillon, Estelle & Yin, Pai-Ling, 2007. "How and when do markets tip? Lessons from the Battle of the Bund," Working Paper Series 0766, European Central Bank.
  9. 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.
  10. 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, 06.
  11. Jullien, Bruno, 2000. "Competing in Network Industries: Divide and Conquer," IDEI Working Papers 112, Institut d'Économie Industrielle (IDEI), Toulouse, revised Jul 2001.
  12. Beggs, Alan W & Klemperer, Paul, 1992. "Multi-period Competition with Switching Costs," Econometrica, Econometric Society, vol. 60(3), pages 651-66, May.
  13. Austan Goolsbee & Peter J. Klenow, 1999. "Evidence on Learning and Network Externalities in the Diffusion of Home Computers," NBER Working Papers 7329, National Bureau of Economic Research, Inc.
  14. Andrew Caplin & Barry Nalebuff, 1990. "Aggregation and Imperfect Competition: On the Existence of Equilibrium," Cowles Foundation Discussion Papers 937, Cowles Foundation for Research in Economics, Yale University.
  15. Cabral, L. & Riordan, M., 1992. "The Learning Curve, Market Dominance and Predatory Pricing," Papers 39, Boston University - Industry Studies Programme.
  16. Ulrich Doraszelski & Joe Harrington & Jiawei Chen, 2009. "Avoiding Market Dominance: Product Compatibility in Markets with Network Effects," 2009 Meeting Papers 30, Society for Economic Dynamics.
  17. 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 514-26, June.
  18. Matthew Mitchell & Andrzej Skrzypacz, 2006. "Network externalities and long-run market shares," Economic Theory, Springer, vol. 29(3), pages 621-648, November.
  19. 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.
  20. Budd, Christopher & Harris, Christopher & Vickers, John, 1993. "A Model of the Evolution of Duopoly: Does the Asymmetry between Firms Tend to Increase or Decrease?," Review of Economic Studies, Wiley Blackwell, vol. 60(3), pages 543-73, July.
  21. 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.
  22. Auriol, Emmanuelle & Benaim, Michel, 1999. "Standardization in Decentralized Economies," IDEI Working Papers 85, Institut d'Économie Industrielle (IDEI), Toulouse.
  23. Joseph Farrell & Garth Saloner, 1985. "Standardization, Compatibility, and Innovation," RAND Journal of Economics, The RAND Corporation, vol. 16(1), pages 70-83, Spring.
  24. Luís M. B. Cabral & Miguel Villas-Boas, 2005. "Bertrand Supertraps," Management Science, INFORMS, vol. 51(4), pages 599-613, April.
  25. Katz, Michael L & Shapiro, Carl, 1985. "Network Externalities, Competition, and Compatibility," American Economic Review, American Economic Association, vol. 75(3), pages 424-40, June.
  26. 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.
  27. 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.
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