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Differentiated Networks: Equilibrium and Efficiency

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Author Info
Rossella Argenziano ()

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Abstract

We consider a model of price competition in a duopoly with product differentiation and network effects. The value of a good for a consumer is the sum of a common and an idiosyncratic component. The first captures the vertical dimension of quality, the second captures horizontal differentiation. Each consumer privately observes his own value for each good, but cannot separate the common and the idiosyncratic component. Therefore, he has incomplete information about the value of the goods for the other consumers. After firms announce prices, consumers choose simultaneously which network to join, facing a coordination problem. In the efficient allocation, both networks are active and the firm with the highest expected quality has the largest market share. To characterize the equilibrium allocation, we derive necessary and sufficient conditions for uniqueness of the equilibrium of the coordination game played by consumers for given prices. The equilibrium allocation differs from the efficient one for two reasons. First, the equilibrium allocation of consumers to the networks is too balanced, since consumers fail to internalize network externalities. Second, if access to the networks is priced by strategic firms, then the product with the highest expected quality is also the most expensive. This further reduces the asymmetry between market shares and therefore social welfare.

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Paper provided by University of Essex, Department of Economics in its series Economics Discussion Papers with number 638.

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Date of creation: 18 Sep 2007
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Handle: RePEc:esx:essedp:638

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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Matthew Mitchell & Andrzej Skrzypacz, 2006. "Network externalities and long-run market shares," Economic Theory, Springer, vol. 29(3), pages 621-648, November. [Downloadable!] (restricted)
  2. Anderson, Simon P & de Palma, Andre, 2001. "Product Diversity in Asymmetric Oligopoly: Is the Quality of Consumer Goods Too Low?," Journal of Industrial Economics, Blackwell Publishing, vol. 49(2), pages 113-35, June. [Downloadable!] (restricted)
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  3. Stephen Morris & Hyun Song Shin, 2004. "Heterogeneity and Uniqueness in Interaction Games," Yale School of Management Working Papers ysm341, Yale School of Management. [Downloadable!]
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  4. Farrell, Joseph & Saloner, Garth, 1986. "Standardization and variety," Economics Letters, Elsevier, vol. 20(1), pages 71-74. [Downloadable!] (restricted)
  5. Carlsson, Hans & van Damme, Eric, 1993. "Global Games and Equilibrium Selection," Econometrica, Econometric Society, vol. 61(5), pages 989-1018, September. [Downloadable!] (restricted)
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  6. Caplin, Andrew & Nalebuff, Barry, 1991. "Aggregation and Imperfect Competition: On the Existence of Equilibrium," Econometrica, Econometric Society, vol. 59(1), pages 25-59, January. [Downloadable!] (restricted)
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  7. Ui, Takashi, 2006. "Correlated quantal responses and equilibrium selection," Games and Economic Behavior, Elsevier, vol. 57(2), pages 361-369, November. [Downloadable!] (restricted)
  8. Griva, Krina & Vettas, Nikolaos, 2004. "Price Competition in a Differentiated Products Duopoly Under Network Effects," CEPR Discussion Papers 4574, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
  9. Chou, Chien-fu & Shy, Oz, 1990. "Network effects without network externalities," International Journal of Industrial Organization, Elsevier, vol. 8(2), pages 259-270, June. [Downloadable!] (restricted)
  10. Baake, Pio & Boom, Anette, 2001. "Vertical product differentiation, network externalities, and compatibility decisions," International Journal of Industrial Organization, Elsevier, vol. 19(1-2), pages 267-284, January. [Downloadable!] (restricted)
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  11. Rust, John, 1993. "GAUSS and MATLAB: A Comparison," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 8(3), pages 307-24, July-Sept. [Downloadable!] (restricted)
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Cited by:
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  1. Sääskilahti, Pekka, 2006. "Buying Decision Coordination and Monopoly Pricing of Network Goods," MPRA Paper 5106, University Library of Munich, Germany. [Downloadable!]
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