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Differentiated networks: equilibrium and efficiency

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  • Rossella Argenziano

Abstract

We consider a model of price competition in a duopoly with product differentiation and network effects. 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, because 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. Copyright (c) 2008, RAND.

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  • Rossella Argenziano, 2008. "Differentiated networks: equilibrium and efficiency," RAND Journal of Economics, RAND Corporation, vol. 39(3), pages 747-769.
  • Handle: RePEc:bla:randje:v:39:y:2008:i:3:p:747-769
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    Cited by:

    1. Frankel, David M., 2012. "Recurrent crises in global games," Journal of Mathematical Economics, Elsevier, vol. 48(5), pages 309-321.
    2. Morris, Stephen & Shin, Hyun Song & Yildiz, Muhamet, 2016. "Common belief foundations of global games," Journal of Economic Theory, Elsevier, vol. 163(C), pages 826-848.
    3. repec:eee:mateco:v:73:y:2017:i:c:p:13-33 is not listed on IDEAS
    4. Gary Biglaiser & Jacques Crémer, 2016. "The Value of Incumbency in Heterogeneous Platforms," CESifo Working Paper Series 5829, CESifo Group Munich.
    5. Vitor Miguel Ribeiro & João Correia-da-Silva & Joana Resende, 2014. "Nesting Vertical and Horizontal Differentiation in Two-Sided Markets," FEP Working Papers 535, Universidade do Porto, Faculdade de Economia do Porto.
    6. Suleymanova Irina & Wey Christian, 2011. "Bertrand Competition in Markets with Network Effects and Switching Costs," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 11(1), pages 1-58, September.
    7. Hagiu, Andrei & Hałaburda, Hanna, 2014. "Information and two-sided platform profits," International Journal of Industrial Organization, Elsevier, vol. 34(C), pages 25-35.
    8. Jullien, Bruno, 2008. "Price Skewness and Competition in Multi-Sided Markets," IDEI Working Papers 504, Institut d'Économie Industrielle (IDEI), Toulouse.
    9. Stephen Morris & Muhamet Yildiz, 2016. "Crises: Equilibrium Shifts and Large Shocks," Working Papers 083_2016, Princeton University, Department of Economics, Econometric Research Program..
    10. Bruno Jullien, 2011. "Competition in Multi-sided Markets: Divide and Conquer," American Economic Journal: Microeconomics, American Economic Association, vol. 3(4), pages 186-220, November.
    11. Griva, Krina & Vettas, Nikolaos, 2011. "Price competition in a differentiated products duopoly under network effects," Information Economics and Policy, Elsevier, vol. 23(1), pages 85-97, March.
    12. Laussel, Didier & Resende, Joana, 2014. "Dynamic price competition in aftermarkets with network effects," Journal of Mathematical Economics, Elsevier, vol. 50(C), pages 106-118.
    13. Biglaiser, Gary & Crémer, Jacques, 2016. "The value of incumbency in heterogeneous platforms," CEPR Discussion Papers 11207, C.E.P.R. Discussion Papers.
    14. Navarro, Noemí, 2012. "Price and quality decisions under network effects," Journal of Mathematical Economics, Elsevier, vol. 48(5), pages 263-270.
    15. Pekka Sääskilahti, 2016. "Buying Decision Coordination and Monopoly Pricing of Network Goods," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 25(2), pages 313-333, April.
    16. Biglaiser, Gary & Crémer, Jacques, 2016. "The value of incumbency for heterogeneous platforms," TSE Working Papers 16-630, Toulouse School of Economics (TSE), revised Nov 2016.
    17. Kerstan, Sven & Kretschmer, Tobias & Muehlfeld, Katrin, 2012. "The dynamics of pre-market standardization," Information Economics and Policy, Elsevier, vol. 24(2), pages 105-119.
    18. Guimaraes, Bernardo & Pereira, Ana Elisa, 2017. "Dynamic coordination among heterogeneous agents," Journal of Mathematical Economics, Elsevier, vol. 73(C), pages 13-33.
    19. 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.
    20. Guimaraes, Bernardo & Pereira, Ana Elisa, 2016. "QWERTY is efficient," Journal of Economic Theory, Elsevier, vol. 163(C), pages 819-825.
    21. Frankel, David M., 2015. "Insuring Customers of a Unionized Firm Against Loss of Network Benefits," Staff General Research Papers Archive 38580, Iowa State University, Department of Economics.

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