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Oligopoly with Network Effects: Firm-Specific versus Single Network
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Oligopoly with Network Effects: Firm-Specific versus Single Network

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  • Rabah Amir
  • Igor Evstigneev
  • Adriana Gama

Abstract

We consider symmetric oligopolies with positive network effects where each firm has its own proprietary network, which is incompatible with that of its rivals. We provide minimal conditions for the existence of (non-trivial) symmetric equilibrium in a general setting. We analyze the viability of industries with firm-specific networks, and show that the prospects for successful launch decrease with more firms in the market. This is a major reversal from the case of single-network industries. A central part of the paper compares the viability and market performance of industries with compatible and incompatible networks, and shows that viability, output, (endogenous) demand, and social welfare are higher for the former. However, the comparison of industry price, profit and consumer surplus requires respective qualifications, of a general nature for the former two but not for the latter. Overall, these results provide theoretical grounding in a general but not universal sense for the conventional view that compatibility leads to superior performance, which was hitherto based on case studies and stylized facts.

Suggested Citation

  • Rabah Amir & Igor Evstigneev & Adriana Gama, 2019. "Oligopoly with Network Effects: Firm-Specific versus Single Network," Economics Discussion Paper Series 1910, Economics, The University of Manchester.
    • Handle: RePEc:man:sespap:1910
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    1. Thorstein Veblen, 1899. "Mr. Cummings's Strictures on "The Theory of the Leisure Class"," Journal of Political Economy, University of Chicago Press, vol. 8(1), pages 106-106.
    2. Amir, Rabah & Lazzati, Natalia, 2011. "Network effects, market structure and industry performance," Journal of Economic Theory, Elsevier, vol. 146(6), pages 2389-2419.
    3. Amir, Rabah & De Castro, Luciano & Koutsougeras, Leonidas, 2014. "Free entry versus socially optimal entry," Journal of Economic Theory, Elsevier, vol. 154(C), pages 112-125.
    4. Laussel, Didier & Van Long, Ngo & Resende, Joana, 2015. "Network effects, aftermarkets and the Coase conjecture: A dynamic Markovian approach," International Journal of Industrial Organization, Elsevier, vol. 41(C), pages 84-96.
    5. William Novshek, 1985. "On the Existence of Cournot Equilibrium," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 52(1), pages 85-98.
    6. Federico Echenique, 2002. "Comparative Statics by Adaptive Dynamics and the Correspondence Principle," Econometrica, Econometric Society, vol. 70(2), pages 833-844, March.
    7. Mark Armstrong, 2006. "Competition in two‐sided markets," RAND Journal of Economics, RAND Corporation, vol. 37(3), pages 668-691, September.
    8. Lapo Filistrucchi & Damien Geradin & Eric van Damme & Pauline Affeldt, 2014. "Market Definition In Two-Sided Markets: Theory And Practice," Journal of Competition Law and Economics, Oxford University Press, vol. 10(2), pages 293-339.
    9. Rabah Amir & Val E. Lambson, 2000. "On the Effects of Entry in Cournot Markets," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 67(2), pages 235-254.
    10. Jean‐Charles Rochet & Jean Tirole, 2006. "Two‐sided markets: a progress report," RAND Journal of Economics, RAND Corporation, vol. 37(3), pages 645-667, September.
    11. Markovich, Sarit & Moenius, Johannes, 2009. "Winning while losing: Competition dynamics in the presence of indirect network effects," International Journal of Industrial Organization, Elsevier, vol. 27(3), pages 346-357, May.
    12. Guimaraes, Bernardo & Pereira, Ana Elisa, 2017. "Dynamic coordination among heterogeneous agents," Journal of Mathematical Economics, Elsevier, vol. 73(C), pages 13-33.
    13. Laussel, Didier & Resende, Joana, 2014. "Dynamic price competition in aftermarkets with network effects," Journal of Mathematical Economics, Elsevier, vol. 50(C), pages 106-118.
    14. Grilo, Isabel & Shy, Oz & Thisse, Jacques-Francois, 2001. "Price competition when consumer behavior is characterized by conformity or vanity," Journal of Public Economics, Elsevier, vol. 80(3), pages 385-408, June.
    15. Filomena Garcia & Cecilia Vergari, 2016. "Revealing Incentives for Compatibility Provision in Vertically Differentiated Network Industries," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 25(3), pages 720-749, September.
    16. Amir, Rabah, 1996. "Sensitivity analysis of multisector optimal economic dynamics," Journal of Mathematical Economics, Elsevier, vol. 25(1), pages 123-141.
    17. Katz, Michael L & Shapiro, Carl, 1986. "Technology Adoption in the Presence of Network Externalities," Journal of Political Economy, University of Chicago Press, vol. 94(4), pages 822-841, August.
    18. Shy,Oz, 2001. "The Economics of Network Industries," Cambridge Books, Cambridge University Press, number 9780521805001, September.
    19. Joana Resende, 2008. "The Economic Advantage of Being the “Voice of the Majority”," Journal of Media Economics, Taylor & Francis Journals, vol. 21(3), pages 158-190.
    20. Anne-Christine Barthel & Eric Hoffmann, 2019. "Rationalizability and learning in games with strategic heterogeneity," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 67(3), pages 565-587, April.
    21. Cusumano, Michael A. & Mylonadis, Yiorgos & Rosenbloom, Richard S., 1992. "Strategic Maneuvering and Mass-Market Dynamics: The Triumph of VHS over Beta," Business History Review, Cambridge University Press, vol. 66(1), pages 51-94, April.
    22. Veblen, Thorstein, 1899. "The Theory of the Leisure Class," History of Economic Thought Books, McMaster University Archive for the History of Economic Thought, number veblen1899.
    23. Jacques Crémer & Patrick Rey & Jean Tirole, 2000. "Connectivity in the Commercial Internet," Journal of Industrial Economics, Wiley Blackwell, vol. 48(4), pages 433-472, December.
    24. Prokopovych, Pavlo & Yannelis, Nicholas C., 2017. "On strategic complementarities in discontinuous games with totally ordered strategies," Journal of Mathematical Economics, Elsevier, vol. 70(C), pages 147-153.
    25. Church, Jeffrey & Gandal, Neil, 1992. "Network Effects, Software Provision, and Standardization," Journal of Industrial Economics, Wiley Blackwell, vol. 40(1), pages 85-103, March.
    26. S. J. Liebowitz & Stephen E. Margolis, 1994. "Network Externality: An Uncommon Tragedy," Journal of Economic Perspectives, American Economic Association, vol. 8(2), pages 133-150, Spring.
    27. Greaker, Mads & Midttømme, Kristoffer, 2016. "Network effects and environmental externalities: Do clean technologies suffer from excess inertia?," Journal of Public Economics, Elsevier, vol. 143(C), pages 27-38.
    28. Jeffrey Rohlfs, 1974. "A Theory of Interdependent Demand for a Communications Service," Bell Journal of Economics, The RAND Corporation, vol. 5(1), pages 16-37, Spring.
    29. Anne-Christine Barthel & Tarun Sabarwal, 2018. "Directional monotone comparative statics," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 66(3), pages 557-591, October.
    30. Amir, R., 1996. "Cournot oligopoly and theory of supermodular games," LIDAM Reprints CORE 1228, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    31. Charlene Cosandier & Filomena Garcia & Malgorzata Knauff, 2018. "Price competition with differentiated goods and incomplete product awareness," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 66(3), pages 681-705, October.
    32. Vives, Xavier, 1990. "Nash equilibrium with strategic complementarities," Journal of Mathematical Economics, Elsevier, vol. 19(3), pages 305-321.
    33. Amir, Rabah, 1996. "Cournot Oligopoly and the Theory of Supermodular Games," Games and Economic Behavior, Elsevier, vol. 15(2), pages 132-148, August.
    34. Katz, Michael L & Shapiro, Carl, 1985. "Network Externalities, Competition, and Compatibility," American Economic Review, American Economic Association, vol. 75(3), pages 424-440, June.
    35. Gama, Adriana & Rietzke, David, 2019. "Monotone comparative statics in games with non-monotonic best-replies: Contests and Cournot oligopoly," Journal of Economic Theory, Elsevier, vol. 183(C), pages 823-841.
    36. Milgrom, Paul & Roberts, John, 1990. "Rationalizability, Learning, and Equilibrium in Games with Strategic Complementarities," Econometrica, Econometric Society, vol. 58(6), pages 1255-1277, November.
    37. H. Leibenstein, 1950. "Bandwagon, Snob, and Veblen Effects in the Theory of Consumers' Demand," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 64(2), pages 183-207.
    38. Dorothée Brécard, 2013. "Environmental Quality Competition and Taxation in the Presence of Green Network Effect Among Consumers," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 54(1), pages 1-19, January.
    39. 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.
    40. Giacomo Luchetta, 2014. "Is The Google Platform A Two-Sided Market?," Journal of Competition Law and Economics, Oxford University Press, vol. 10(1), pages 185-207.
    41. repec:bla:jindec:v:48:y:2000:i:4:p:433-72 is not listed on IDEAS
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    More about this item

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
    • L14 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Transactional Relationships; Contracts and Reputation

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