IDEAS home Printed from https://ideas.repec.org/p/cpr/ceprdp/13821.html
   My bibliography  Save this paper

Patterns of Competitive Interaction

Author

Listed:
  • Armstrong, Mark
  • Vickers, John

Abstract

We explore patterns of competitive interaction by studying mixed-strategy equilibrium pricing in oligopoly settings where consumers vary in the set of suppliers they consider for their purchase. In the case of "nested reach" we find equilibria, unlike those in existing models, in which price competition is segmented: small firms offer only low prices and large firms only offer high prices. We characterize equilibria in the three-firm case using correlation measures of competition between pairs of firms. We then contrast them with equilibria in the parallel model with capacity constraints. A theme of the analysis is how patterns of consumer consideration matter for competitive outcomes.

Suggested Citation

  • Armstrong, Mark & Vickers, John, 2019. "Patterns of Competitive Interaction," CEPR Discussion Papers 13821, C.E.P.R. Discussion Papers.
    • Handle: RePEc:cpr:ceprdp:13821
    as

    Download full text from publisher

    File URL: https://cepr.org/publications/DP13821
    Download Restriction: CEPR Discussion Papers are free to download for our researchers, subscribers and members. If you fall into one of these categories but have trouble downloading our papers, please contact us at subscribers@cepr.org
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Kate Ho & Joseph Hogan & Fiona Scott Morton, 2017. "The impact of consumer inattention on insurer pricing in the Medicare Part D program," RAND Journal of Economics, RAND Corporation, vol. 48(4), pages 877-905, December.
    2. Steven Salop & Joseph Stiglitz, 1977. "Bargains and Ripoffs: A Model of Monopolistically Competitive Price Dispersion," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 44(3), pages 493-510.
    3. Spiegler, Ran, 2014. "Bounded Rationality and Industrial Organization," OUP Catalogue, Oxford University Press, number 9780199334261.
    4. Stahl, Dale O., 1996. "Oligopolistic pricing with heterogeneous consumer search," International Journal of Industrial Organization, Elsevier, vol. 14(2), pages 243-268.
    5. Varian, Hal R, 1980. "A Model of Sales," American Economic Review, American Economic Association, vol. 70(4), pages 651-659, September.
    6. Paola Manzini & Marco Mariotti, 2014. "Stochastic Choice and Consideration Sets," Econometrica, Econometric Society, vol. 82(3), pages 1153-1176, May.
    7. Greg Kaplan & Guido Menzio, 2015. "The Morphology Of Price Dispersion," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 56, pages 1165-1206, November.
    8. Dirk Bergemann & Benjamin Brooks & Stephen Morris, 2021. "Search, Information, and Prices," Journal of Political Economy, University of Chicago Press, vol. 129(8), pages 2275-2319.
    9. Ioana Chioveanu & Jidong Zhou, 2013. "Price Competition with Consumer Confusion," Management Science, INFORMS, vol. 59(11), pages 2450-2469, November.
    10. Geoffroy de Clippel & Kfir Eliaz & Kareen Rozen, 2014. "Competing for Consumer Inattention," Journal of Political Economy, University of Chicago Press, vol. 122(6), pages 1203-1234.
    11. 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.
    12. Saul Lach, 2002. "Existence And Persistence Of Price Dispersion: An Empirical Analysis," The Review of Economics and Statistics, MIT Press, vol. 84(3), pages 433-444, August.
    13. Jeremy Bulow & Jonathan Levin, 2006. "Matching and Price Competition," American Economic Review, American Economic Association, vol. 96(3), pages 652-668, June.
    14. Johannes Johnen & David Ronayne, 2021. "The only Dance in Town: Unique Equilibrium in a Generalized Model of Price Competition," Journal of Industrial Economics, Wiley Blackwell, vol. 69(3), pages 595-614, September.
    15. Regan, Tracy L., 2008. "Generic entry, price competition, and market segmentation in the prescription drug market," International Journal of Industrial Organization, Elsevier, vol. 26(4), pages 930-948, July.
    16. Partha Dasgupta & Eric Maskin, 1986. "The Existence of Equilibrium in Discontinuous Economic Games, I: Theory," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 53(1), pages 1-26.
    17. Babur De Los Santos & Ali Hortacsu & Matthijs R. Wildenbeest, 2012. "Testing Models of Consumer Search Using Data on Web Browsing and Purchasing Behavior," American Economic Review, American Economic Association, vol. 102(6), pages 2955-2980, October.
    18. Howard Smith, 2004. "Supermarket Choice and Supermarket Competition in Market Equilibrium," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 71(1), pages 235-263.
    19. Narasimhan, Chakravarthi, 1988. "Competitive Promotional Strategies," The Journal of Business, University of Chicago Press, vol. 61(4), pages 427-449, October.
    20. Monica Giulietti & Michael Waterson & Matthijs Wildenbeest, 2014. "Estimation of Search Frictions in the British Electricity Market," Journal of Industrial Economics, Wiley Blackwell, vol. 62(4), pages 555-590, December.
    21. 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.
    22. Inderst, Roman, 2002. "Why competition may drive up prices," Journal of Economic Behavior & Organization, Elsevier, vol. 47(4), pages 451-462, April.
    23. Mark Armstrong & John Vickers, 2019. "Discriminating against Captive Customers," American Economic Review: Insights, American Economic Association, vol. 1(3), pages 257-272, December.
    24. 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.
    25. Burdett, Kenneth & Judd, Kenneth L, 1983. "Equilibrium Price Dispersion," Econometrica, Econometric Society, vol. 51(4), pages 955-969, July.
    26. Partha Dasgupta & Eric Maskin, 1986. "The Existence of Equilibrium in Discontinuous Economic Games, II: Applications," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 53(1), pages 27-41.
    27. Maarten Janssen & Eric Rasmusen, 2002. "Bertrand Competition Under Uncertainty," Journal of Industrial Economics, Wiley Blackwell, vol. 50(1), pages 11-21, March.
    28. Michele Piccione & Ran Spiegler, 2012. "Price Competition Under Limited Comparability," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 127(1), pages 97-135.
    29. Michael R. Baye & John Morgan & Patrick Scholten, 2004. "Temporal Price Dispersion: Evidence from an Online Consumer Electronics Market," Working Papers 2004-04, Indiana University, Kelley School of Business, Department of Business Economics and Public Policy.
    30. Greg Kaplan & Guido Menzio, 2015. "The Morphology Of Price Dispersion," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 56(4), pages 1165-1206, November.
    31. Ali Hortaçsu & Seyed Ali Madanizadeh & Steven L. Puller, 2017. "Power to Choose? An Analysis of Consumer Inertia in the Residential Electricity Market," American Economic Journal: Economic Policy, American Economic Association, vol. 9(4), pages 192-226, November.
    32. Mark Armstrong & John Vickers, 2018. "Patterns of Competition with Captive Customers," Economics Series Working Papers 864, University of Oxford, Department of Economics.
    33. Ran Spiegler, 2006. "The Market for Quacks," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 73(4), pages 1113-1131.
    34. 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.
    35. 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.
    36. 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.
    37. 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.
    38. 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.
    39. De Francesco, Massimo A. & Salvadori, Neri, 2015. "Bertrand-Edgeworth games under triopoly: the payoffs," MPRA Paper 64638, University Library of Munich, Germany.
    40. Pazgal, Amit & Soberman, David & Thomadsen, Raphael, 2016. "Profit-increasing asymmetric entry," International Journal of Research in Marketing, Elsevier, vol. 33(1), pages 107-122.
    41. David Ronayne, 2020. "The Only Dance in Town: Unique Equilibrium in a Generalized Model of Price Competition," Economics Series Working Papers 874, University of Oxford, Department of Economics.
    42. Gerard R. Butters, 1977. "Equilibrium Distributions of Sales and Advertising Prices," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 44(3), pages 465-491.
    43. David P. Myatt, 2019. "A Theory of Stable Price Dispersion," Economics Series Working Papers 873, University of Oxford, Department of Economics.
    44. Yongmin Chen & Michael H. Riordan, 2008. "Price‐increasing competition," RAND Journal of Economics, RAND Corporation, vol. 39(4), pages 1042-1058, December.
    45. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Mark Armstrong & John Vickers, 2023. "Multibrand Price Dispersion," Economics Series Working Papers 1029, University of Oxford, Department of Economics.
    2. Christian Oertel & Armin Schmutzler, 2022. "Challenging the incumbent: Entry in markets with captive consumers and taste heterogeneity," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 31(4), pages 961-979, November.
    3. Johannes Johnen & David Ronayne, 2021. "The only Dance in Town: Unique Equilibrium in a Generalized Model of Price Competition," Journal of Industrial Economics, Wiley Blackwell, vol. 69(3), pages 595-614, September.
    4. Vickers, John, 2021. "Competition for imperfect consumers," International Journal of Industrial Organization, Elsevier, vol. 79(C).
    5. Chioveanu, Ioana, 2024. "Consumer data and price discrimination by consideration sets," Economics Letters, Elsevier, vol. 236(C).
    6. Heski Bar-Isaac & Sandro Shelegia, 2023. "Search, Showrooming, and Retailer Variety," Marketing Science, INFORMS, vol. 42(2), pages 251-270, March.
    7. Saur, Marc P. & Schlatterer, Markus G. & Schmitt, Stefanie Y., 2022. "Limited perception and price discrimination in a model of horizontal product differentiation," Games and Economic Behavior, Elsevier, vol. 134(C), pages 151-168.
    8. Gehrig, Thomas & Ritzberger, Klaus, 2022. "Intermediation and price volatility," Journal of Economic Theory, Elsevier, vol. 201(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Armstrong, Mark & Vickers, John, 2020. "Patterns of Price Competition and the Structure of Consumer Choice," MPRA Paper 98346, University Library of Munich, Germany.
    2. Mark Armstrong & John Vickers, 2018. "Patterns of Competition with Captive Customers," Economics Series Working Papers 864, University of Oxford, Department of Economics.
    3. David P. Myatt, 2019. "A Theory of Stable Price Dispersion," Economics Series Working Papers 873, University of Oxford, Department of Economics.
    4. Johannes Johnen & David Ronayne, 2021. "The only Dance in Town: Unique Equilibrium in a Generalized Model of Price Competition," Journal of Industrial Economics, Wiley Blackwell, vol. 69(3), pages 595-614, September.
    5. David Ronayne, 2021. "Price Comparison Websites," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 62(3), pages 1081-1110, August.
    6. David Ronayne, 2020. "The Only Dance in Town: Unique Equilibrium in a Generalized Model of Price Competition," Economics Series Working Papers 874, University of Oxford, Department of Economics.
    7. David P. Myatt & David Ronayne, 2023. "Asymmetric Models of Sales," Rationality and Competition Discussion Paper Series 450, CRC TRR 190 Rationality and Competition.
    8. Dirk Bergemann & Benjamin Brooks & Stephen Morris, 2021. "Search, Information, and Prices," Journal of Political Economy, University of Chicago Press, vol. 129(8), pages 2275-2319.
    9. Bruce I. Carlin & Florian Ederer, 2019. "Search Fatigue," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 54(3), pages 485-508, May.
    10. Chioveanu, Ioana, 2019. "Prominence, complexity, and pricing," International Journal of Industrial Organization, Elsevier, vol. 63(C), pages 551-582.
    11. Byrne, David P. & Martin, Leslie A., 2021. "Consumer search and income inequality," International Journal of Industrial Organization, Elsevier, vol. 79(C).
    12. Hämäläinen, Saara, 2018. "Competitive search obfuscation," Journal of Economic Dynamics and Control, Elsevier, vol. 97(C), pages 38-63.
    13. Michael Grubb, 2015. "Failing to Choose the Best Price: Theory, Evidence, and Policy," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 47(3), pages 303-340, November.
    14. Kováč, Eugen & Schmidt, Robert C., 2014. "Market share dynamics in a duopoly model with word-of-mouth communication," Games and Economic Behavior, Elsevier, vol. 83(C), pages 178-206.
    15. Chioveanu, Ioana, 2008. "Advertising, brand loyalty and pricing," Games and Economic Behavior, Elsevier, vol. 64(1), pages 68-80, September.
    16. Michael R. Baye & John Morgan & Patrick Scholten, 2004. "Temporal Price Dispersion: Evidence from an Online Consumer Electronics Market," Working Papers 2004-04, Indiana University, Kelley School of Business, Department of Business Economics and Public Policy.
    17. Vickers, John, 2021. "Competition for imperfect consumers," International Journal of Industrial Organization, Elsevier, vol. 79(C).
    18. Francisco Silva & Samir Mamadehussene, 2020. "The Equivalence Between Sequential and Simultaneous Firm Decisions," Documentos de Trabajo 541, Instituto de Economia. Pontificia Universidad Católica de Chile..
    19. Atayev, Atabek, 2022. "Uncertain product availability in search markets," Journal of Economic Theory, Elsevier, vol. 204(C).
    20. Anderson, Simon & Baik, Alicia & Larson, Nathan, 2015. "Personalized pricing and advertising: An asymmetric equilibrium analysis," Games and Economic Behavior, Elsevier, vol. 92(C), pages 53-73.

    More about this item

    Keywords

    Consideration sets; Mixed strategies; Price dispersion; Captive customers; Bertrand-edgeworth competition;
    All these keywords.

    JEL classification:

    • 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
    • L11 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Production, Pricing, and Market Structure; Size Distribution of Firms
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
    • L15 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Information and Product Quality

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:cpr:ceprdp:13821. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: the person in charge (email available below). General contact details of provider: https://www.cepr.org .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.