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Patterns of Competition with Captive Customers

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  • Armstrong, Mark
  • Vickers, John

Abstract

We study mixed-strategy equilibrium pricing in oligopoly settings where consumers vary in the set of suppliers they consider for their purchase---some being captive to a particular firm, some consider two particular firms, and so on. In the case of "nested reach" we find equilibria, unlike those in more standard models, in which firms are ranked in terms of the prices they might charge. We characterize equilibria in the three-firm case, and contrast them with equilibria in the parallel model with capacity constraints. A theme of the analysis is how patterns of consumer interaction with firms matter for competitive outcomes.

Suggested Citation

  • Armstrong, Mark & Vickers, John, 2018. "Patterns of Competition with Captive Customers," MPRA Paper 90362, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:90362
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    References listed on IDEAS

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    1. Spiegler, Ran, 2014. "Bounded Rationality and Industrial Organization," OUP Catalogue, Oxford University Press, number 9780199334261.
    2. Paola Manzini & Marco Mariotti, 2014. "Stochastic Choice and Consideration Sets," Econometrica, Econometric Society, vol. 82(3), pages 1153-1176, May.
    3. Ioana Chioveanu & Jidong Zhou, 2013. "Price Competition with Consumer Confusion," Management Science, INFORMS, vol. 59(11), pages 2450-2469, November.
    4. Ireland, Norman J, 1993. "The Provision of Information in a Bertrand Oligopoly," Journal of Industrial Economics, Wiley Blackwell, vol. 41(1), pages 61-76, March.
    5. Massimo A. De Francesco & Neri Salvadori, 2013. "Bertrand-Edgeworth Competition in an Almost Symmetric Oligopoly," Studies in Microeconomics, , vol. 1(2), pages 213-219, December.
    6. Jeremy Bulow & Jonathan Levin, 2006. "Matching and Price Competition," American Economic Review, American Economic Association, vol. 96(3), pages 652-668, June.
    7. Partha Dasgupta & Eric Maskin, 1986. "The Existence of Equilibrium in Discontinuous Economic Games, I: Theory," Review of Economic Studies, Oxford University Press, vol. 53(1), pages 1-26.
    8. Narasimhan, Chakravarthi, 1988. "Competitive Promotional Strategies," The Journal of Business, University of Chicago Press, vol. 61(4), pages 427-449, October.
    9. Baye, Michael R. & Kovenock, Dan & de Vries, Casper G., 1992. "It takes two to tango: Equilibria in a model of sales," Games and Economic Behavior, Elsevier, vol. 4(4), pages 493-510, October.
    10. Mark Armstrong & John Vickers, 2019. "Discriminating against Captive Customers," American Economic Review: Insights, American Economic Association, vol. 1(3), pages 257-272, December.
    11. McAfee R. Preston, 1994. "Endogenous Availability, Cartels, and Merger in an Equilibrium Price Dispersion," Journal of Economic Theory, Elsevier, vol. 62(1), pages 24-47, February.
    12. Burdett, Kenneth & Judd, Kenneth L, 1983. "Equilibrium Price Dispersion," Econometrica, Econometric Society, vol. 51(4), pages 955-969, July.
    13. Partha Dasgupta & Eric Maskin, 1986. "The Existence of Equilibrium in Discontinuous Economic Games, II: Applications," Review of Economic Studies, Oxford University Press, vol. 53(1), pages 27-41.
    14. Maarten Janssen & Eric Rasmusen, 2002. "Bertrand Competition Under Uncertainty," Journal of Industrial Economics, Wiley Blackwell, vol. 50(1), pages 11-21, March.
    15. Michele Piccione & Ran Spiegler, 2012. "Price Competition Under Limited Comparability," The Quarterly Journal of Economics, Oxford University Press, vol. 127(1), pages 97-135.
    16. Ran Spiegler, 2006. "The Market for Quacks," Review of Economic Studies, Oxford University Press, vol. 73(4), pages 1113-1131.
    17. Michelle Sovinsky Goeree, 2008. "Limited Information and Advertising in the U.S. Personal Computer Industry," Econometrica, Econometric Society, vol. 76(5), pages 1017-1074, September.
    18. Rosenthal, Robert W, 1980. "A Model in Which an Increase in the Number of Sellers Leads to a Higher Price," Econometrica, Econometric Society, vol. 48(6), pages 1575-1579, September.
    19. Yongmin Chen & Michael H. Riordan, 2007. "Price and Variety in the Spokes Model," Economic Journal, Royal Economic Society, vol. 117(522), pages 897-921, July.
    20. Elisabeth Honka & Ali Hortaçsu & Maria Ana Vitorino, 2017. "Advertising, consumer awareness, and choice: evidence from the U.S. banking industry," RAND Journal of Economics, RAND Corporation, vol. 48(3), pages 611-646, August.
    21. Michael R. Baye & John Morgan, 2001. "Information Gatekeepers on the Internet and the Competitiveness of Homogeneous Product Markets," American Economic Review, American Economic Association, vol. 91(3), pages 454-474, June.
    22. De Francesco, Massimo A. & Salvadori, Neri, 2015. "Bertrand-Edgeworth games under triopoly: the payoffs," MPRA Paper 64638, University Library of Munich, Germany.
    23. Gerard R. Butters, 1977. "Equilibrium Distributions of Sales and Advertising Prices," Review of Economic Studies, Oxford University Press, vol. 44(3), pages 465-491.
    24. Yongmin Chen & Michael H. Riordan, 2008. "Price‐increasing competition," RAND Journal of Economics, RAND Corporation, vol. 39(4), pages 1042-1058, December.
    25. Hirata Daisuke, 2009. "Asymmetric Bertrand-Edgeworth Oligopoly and Mergers," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 9(1), pages 1-25, July.
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    Citations

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    Cited by:

    1. Renaud Foucart & Jana Friedrichsen, 2019. "All-pay competition with captive consumers," Working Papers 277451127, Lancaster University Management School, Economics Department.
    2. Armstrong, Mark & Vickers, John, 2019. "Patterns of Competitive Interaction," MPRA Paper 95336, University Library of Munich, Germany.
    3. armstrong, Mark & Vickers, John, 2020. "Patterns of competitive interaction," MPRA Paper 102789, University Library of Munich, Germany.
    4. Armstrong, Mark & Vickers, John, 2020. "Patterns of Price Competition and the Structure of Consumer Choice," MPRA Paper 98346, University Library of Munich, Germany.

    More about this item

    Keywords

    Oligopoly; Bertrand competition; Bertrand-Edgeworth competition; Consideration sets; Mixed strategies;

    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
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
    • L1 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance
    • L15 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Information and Product Quality

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