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Dynamic Price Competition with Network Effects

  • Cabral, Luís M B

I consider a dynamic model of competition between two proprietary networks. Consumers die and are replaced with a constant hazard rate. Firms compete for new consumers to join their network by offering network entry prices (which may be below cost). New consumers have a privately known preference for each network. Upon joining a network, in each period consumers enjoy a benefit which is increasing in network size during that period. Firms receive revenues from new consumers as well as from consumers already belonging to their network. Using a combination of analytical and numerical methods, I discuss various properties of the equilibrium. I show that very small or very large networks tend to price higher than networks of intermediate size. I also show that, around symmetric states, the gap between the large and the small network tends to widen (increasing dominance) whereas the opposite is true (reversion to the mean) around very asymmetric states.

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Paper provided by C.E.P.R. Discussion Papers in its series CEPR Discussion Papers with number 6687.

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Date of creation: Feb 2008
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Handle: RePEc:cpr:ceprdp:6687
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  1. Luis M.B. Cabral & Michael Riordan, 1992. "The Learning Curve, Market Dominance and Predatory Pricing," Papers 0039, Boston University - Industry Studies Programme.
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  13. Cabral, Luis M. B., 2002. "Increasing Dominance with No Efficiency Effect," Journal of Economic Theory, Elsevier, vol. 102(2), pages 471-479, February.
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  18. Jiawei Chen & Ulrich Doraszelski & Joseph E. Harrington, Jr., 2008. "Avoiding Market Dominance: Product Compatibility in Markets with Network Effects," Economics Working Paper Archive 537, The Johns Hopkins University,Department of Economics.
  19. Matthew Mitchell & Andrzej Skrzypacz, 2006. "Network externalities and long-run market shares," Economic Theory, Springer, vol. 29(3), pages 621-648, November.
  20. Caplin, A. & Nalebuff, B., 1989. "Aggregation And Imperfect Competition: On The Existence Of Equilibrium," Discussion Papers 1989_30, Columbia University, Department of Economics.
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