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Bertrand Supertraps

  • Luís M. B. Cabral

    ()

    (Stern School of Business, New York University, New York, New York 10012)

  • Miguel Villas-Boas

    ()

    (Haas School of Business, University of California, Berkeley, California 94720)

We study oligopoly price competition between multiproduct firms---firms whose products interact in the profit function. Specifically, we focus on the impact of intrafirm product interactions on the level of equilibrium profits. This impact may be decomposed in two different ways: (a) a direct effect (keeping the competitors' actions fixed) plus a strategic effect (i.e., through the competitors' actions); or, alternatively, (b) a competitive advantage effect (change in firm i only) plus an imitation effect (change in all other firms). We derive conditions such that (a) the strategic effect more than outweighs the direct effect, and conditions such that (b) the imitation effect more than outweighs the competitive advantage effect: Bertrand supertraps. For example, an increase in the degree of economies of scope would increase profits if prices were fixed or if the change were limited to firm i's cost function. However, if all firms increase the degree of economies of scope then all firms receive lower profits. A variety of other applications is considered, including learning curves, core competencies, demand synergies, systems competition, compatibility, bundling, network effects, switching costs, durable goods, long-term contracts.

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File URL: http://dx.doi.org/10.1287/mnsc.1040.0313
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Article provided by INFORMS in its journal Management Science.

Volume (Year): 51 (2005)
Issue (Month): 4 (April)
Pages: 599-613

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Handle: RePEc:inm:ormnsc:v:51:y:2005:i:4:p:599-613
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  19. Villas-Boas, J. Miguel, 1997. "Comparative Statics of Fixed Points," Journal of Economic Theory, Elsevier, vol. 73(1), pages 183-198, March.
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  21. Eric T. Anderson, 2002. "Sharing the Wealth: When Should Firms Treat Customers as Partners?," Management Science, INFORMS, vol. 48(8), pages 955-971, August.
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  23. Kenneth S. Corts, 1998. "Third-Degree Price Discrimination in Oligopoly: All-Out Competition and Strategic Commitment," RAND Journal of Economics, The RAND Corporation, vol. 29(2), pages 306-323, Summer.
  24. Preyas S. Desai & Devavrat Purohit, 1999. "Competition in Durable Goods Markets: The Strategic Consequences of Leasing and Selling," Marketing Science, INFORMS, vol. 18(1), pages 42-58.
  25. 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 822-41, August.
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