IDEAS home Printed from https://ideas.repec.org/a/eee/jetheo/v152y2014icp266-290.html
   My bibliography  Save this article

Imperfect competition with complements and substitutes

Author

Listed:
  • Quint, Daniel

Abstract

I study price competition in settings where end products are combinations of components supplied by different monopolists, nesting standard models of perfect complements and imperfect substitutes. I show sufficient conditions for a discrete-choice demand system to yield demand for each product which is log-concave in price, and has log-increasing differences in own and another product's price, leading to strong comparative statics results. Many results familiar from simple models, like the price effects of mergers or changes in marginal costs, extend naturally to this more complex setting.

Suggested Citation

  • Quint, Daniel, 2014. "Imperfect competition with complements and substitutes," Journal of Economic Theory, Elsevier, vol. 152(C), pages 266-290.
    • Handle: RePEc:eee:jetheo:v:152:y:2014:i:c:p:266-290
    DOI: 10.1016/j.jet.2014.05.004
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0022053114000702
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.jet.2014.05.004?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

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

    References listed on IDEAS

    as
    1. Jeffrey M. Perloff & Steven C. Salop, 1985. "Equilibrium with Product Differentiation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 52(1), pages 107-120.
    2. Gabaix, Xavier & Laibson, David & Li, Deyuan & Li, Hongyi & Resnick, Sidney & de Vries, Casper G., 2016. "The impact of competition on prices with numerous firms," Journal of Economic Theory, Elsevier, vol. 165(C), pages 1-24.
    3. Mark Bagnoli & Ted Bergstrom, 2006. "Log-concave probability and its applications," Studies in Economic Theory, in: Charalambos D. Aliprantis & Rosa L. Matzkin & Daniel L. McFadden & James C. Moore & Nicholas C. Yann (ed.), Rationality and Equilibrium, pages 217-241, Springer.
    4. Tan, Guofu & Yuan, Lasheng, 2003. "Strategic incentives of divestitures of competing conglomerates," International Journal of Industrial Organization, Elsevier, vol. 21(5), pages 673-697, May.
    5. 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.
    6. Juan D. Carrillo & Guofu Tan, 2006. "Platform Competition: The Role of Multi-homing and Complementors," Working Papers 06-30, NET Institute, revised Oct 2006.
    7. Xavier Vives, 2008. "Innovation And Competitive Pressure," Journal of Industrial Economics, Wiley Blackwell, vol. 56(3), pages 419-469, December.
    8. Henrick Horn & Asher Wolinsky, 1988. "Bilateral Monopolies and Incentives for Merger," RAND Journal of Economics, The RAND Corporation, vol. 19(3), pages 408-419, Autumn.
    9. Steven C. Salop, 1979. "Monopolistic Competition with Outside Goods," Bell Journal of Economics, The RAND Corporation, vol. 10(1), pages 141-156, Spring.
    10. John William Hatfield & Scott Duke Kominers, 2012. "Matching in Networks with Bilateral Contracts," American Economic Journal: Microeconomics, American Economic Association, vol. 4(1), pages 176-208, February.
    11. E. Glen Weyl & Michal Fabinger, 2013. "Pass-Through as an Economic Tool: Principles of Incidence under Imperfect Competition," Journal of Political Economy, University of Chicago Press, vol. 121(3), pages 528-583.
    12. Daniel Quint, 2014. "Pooling with Essential and Nonessential Patents," American Economic Journal: Microeconomics, American Economic Association, vol. 6(1), pages 23-57, February.
    13. Lloyd Shapley & Martin Shubik, 1969. "Price Strategy Oligopoly With Product Variation," Kyklos, Wiley Blackwell, vol. 22(1), pages 30-44, February.
    14. Chen, M. Keith & Nalebuff, Barry, 2006. "One-Way Essential Complements," Working Papers 22, Yale University, Department of Economics.
    15. Michael Ostrovsky, 2008. "Stability in Supply Chain Networks," American Economic Review, American Economic Association, vol. 98(3), pages 897-923, June.
    16. E. Glen Weyl, 2010. "A Price Theory of Multi-sided Platforms," American Economic Review, American Economic Association, vol. 100(4), pages 1642-1672, September.
    17. Meghan R. Busse & Nathaniel O. Keohane, 2007. "Market effects of environmental regulation: coal, railroads, and the 1990 Clean Air Act," RAND Journal of Economics, RAND Corporation, vol. 38(4), pages 1159-1179, December.
    18. Ramon Casadesus-Masanell & Barry Nalebuff & David B. Yoffie, 2007. "Competing Complements," Working Papers 07-44, NET Institute, revised Nov 2007.
    19. Caplin, Andrew & Nalebuff, Barry, 1991. "Aggregation and Imperfect Competition: On the Existence of Equilibrium," Econometrica, Econometric Society, vol. 59(1), pages 25-59, January.
    20. Berry, Steven & Levinsohn, James & Pakes, Ariel, 1995. "Automobile Prices in Market Equilibrium," Econometrica, Econometric Society, vol. 63(4), pages 841-890, July.
    21. Keith M. Chen & Barry Nalebuff, 2006. "One-Way Essential Complements," Levine's Bibliography 321307000000000669, UCLA Department of Economics.
    22. Jean-Charles Rochet Author-Email:rochet@cict.fr Author-Workplace-Name: IDEI, University of Toulouse & Jean Tirole Author-Email: tirole@cict.fr Author-Workplace-Name: IDEI, University of Toulouse, 2006. "Two-Sided Markets: A Progress Report," RAND Journal of Economics, The RAND Corporation, vol. 37(3), pages 645-667, Autumn.
    23. Mark Armstrong Author-Email: mark.armstrong@ucl.ac.uk Author-Workplace-Name: University College of London, 2006. "Competition in Two-Sided Markets," RAND Journal of Economics, The RAND Corporation, vol. 37(3), pages 668-691, Autumn.
    24. Sonia Jaffe & E. Glen Weyl, 2013. "The First-Order Approach to Merger Analysis," American Economic Journal: Microeconomics, American Economic Association, vol. 5(4), pages 188-218, November.
    25. Yongmin Chen & Michael H. Riordan, 2008. "Price‐increasing competition," RAND Journal of Economics, RAND Corporation, vol. 39(4), pages 1042-1058, December.
    26. Raymond Deneckere & Carl Davidson, 1985. "Incentives to Form Coalitions with Bertrand Competition," RAND Journal of Economics, The RAND Corporation, vol. 16(4), pages 473-486, Winter.
    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. Michal Fabinger & E. Glen Weyl, 2018. "Functional Forms for Tractable Economic Models and the Cost Structure of International Trade," CIRJE F-Series CIRJE-F-1092, CIRJE, Faculty of Economics, University of Tokyo.
    2. Michal Fabinger & E. Glen Weyl, 2016. "The Average-Marginal Relationship and Tractable Equilibrium Forms," CIRJE F-Series CIRJE-F-1028, CIRJE, Faculty of Economics, University of Tokyo.
    3. Andrew Rhodes & Jidong Zhou, 2022. "Personalized Pricing and Competition," Cowles Foundation Discussion Papers 2329, Cowles Foundation for Research in Economics, Yale University.
    4. E. Weyl & Michal Fabinger, 2015. "A Tractable Approach to Pass-Through Patterns," 2015 Meeting Papers 747, Society for Economic Dynamics.
    5. Alexandrov, Alexei & Bedre-Defolie, Özlem, 2017. "LeChatelier–Samuelson principle in games and pass-through of shocks," Journal of Economic Theory, Elsevier, vol. 168(C), pages 44-54.
    6. Zhou, Jidong, 2021. "Mixed bundling in oligopoly markets," Journal of Economic Theory, Elsevier, vol. 194(C).
    7. Thanassoulis, John, 2018. "The I.O. of ethics and cheating when consumers do not have rational expectations," CEPR Discussion Papers 13172, C.E.P.R. Discussion Papers.
    8. Alberto Bucci & Vladimir Matveenko, 2017. "Horizontal differentiation and economic growth under non-CES aggregate production function," Journal of Economics, Springer, vol. 120(1), pages 1-29, January.
    9. Michal Fabinger & E. Glen Weyl, 2016. "Functional Forms for Tractable Economic Models and the Cost Structure of International Trade," Papers 1611.02270, arXiv.org, revised Aug 2018.
    10. Adachi, Takanori, 2023. "A sufficient statistics approach for welfare analysis of oligopolistic third‐degree price discrimination," International Journal of Industrial Organization, Elsevier, vol. 86(C).
    11. Shuai, Jie & Yang, Huanxing & Zhang, Lan, 2022. "Dominant firm and competitive bundling in oligopoly markets," Games and Economic Behavior, Elsevier, vol. 132(C), pages 421-447.
    12. Jidong Zhou, 2017. "Competitive Bundling," Econometrica, Econometric Society, vol. 85, pages 145-172, January.
    13. Gabaix, Xavier & Laibson, David & Li, Deyuan & Li, Hongyi & Resnick, Sidney & de Vries, Casper G., 2016. "The impact of competition on prices with numerous firms," Journal of Economic Theory, Elsevier, vol. 165(C), pages 1-24.

    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. Belleflamme,Paul & Peitz,Martin, 2015. "Industrial Organization," Cambridge Books, Cambridge University Press, number 9781107687899.
    2. Scott Duke Kominers & Alexander Teytelboym & Vincent P Crawford, 2017. "An invitation to market design," Oxford Review of Economic Policy, Oxford University Press and Oxford Review of Economic Policy Limited, vol. 33(4), pages 541-571.
    3. Alexandre de Corniere, 2013. "Search Advertising," Economics Series Working Papers 649, University of Oxford, Department of Economics.
    4. Mark J. McCabe & Christopher M. Snyder, 2018. "Open Access as a Crude Solution to a Hold‐Up Problem in the Two‐Sided Market for Academic Journals," Journal of Industrial Economics, Wiley Blackwell, vol. 66(2), pages 301-349, June.
    5. Galeotti, Andrea & Moraga-González, José Luis, 2009. "Platform intermediation in a market for differentiated products," European Economic Review, Elsevier, vol. 53(4), pages 417-428, May.
    6. Van Cayseele Patrick & Reynaerts Jo, 2011. "Complementary Platforms," Review of Network Economics, De Gruyter, vol. 10(1), pages 1-33, March.
    7. Economides, Nicholas & Tåg, Joacim, 2012. "Network neutrality on the Internet: A two-sided market analysis," Information Economics and Policy, Elsevier, vol. 24(2), pages 91-104.
    8. Jan Witajewski-Baltvilks, 2018. "Green Growth and Taste Heterogeneity," IBS Working Papers 07/2018, Instytut Badan Strukturalnych.
    9. Richard Schmalensee, 2012. "“On a Level with Dentists?” Reflections on the Evolution of Industrial Organization," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 41(3), pages 157-179, November.
    10. White, Alexander, 2013. "Search engines: Left side quality versus right side profits," International Journal of Industrial Organization, Elsevier, vol. 31(6), pages 690-701.
    11. Lam, W., 2015. "Switching Costs in Two-sided Markets," LIDAM Discussion Papers CORE 2015024, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    12. Mark J. McCabe & Christopher M. Snyder, 2015. "Does Online Availability Increase Citations? Theory and Evidence from a Panel of Economics and Business Journals," The Review of Economics and Statistics, MIT Press, vol. 97(1), pages 144-165, March.
    13. Doh-Shin Jeon & Nikrooz Nasr, 2016. "News Aggregators and Competition among Newspapers on the Internet," American Economic Journal: Microeconomics, American Economic Association, vol. 8(4), pages 91-114, November.
    14. Christos Genakos & Tommaso Valletti, 2011. "Testing The “Waterbed” Effect In Mobile Telephony," Journal of the European Economic Association, European Economic Association, vol. 9(6), pages 1114-1142, December.
    15. Sebastian Wismer, 2013. "Intermediated vs. Direct Sales and a No-Discrimination Rule," Working Papers 131, Bavarian Graduate Program in Economics (BGPE).
    16. Anderson, Simon P. & de Palma, Andre, 2000. "From local to global competition," European Economic Review, Elsevier, vol. 44(3), pages 423-448, March.
    17. Parenti, Mathieu & Ushchev, Philip & Thisse, Jacques-François, 2017. "Toward a theory of monopolistic competition," Journal of Economic Theory, Elsevier, vol. 167(C), pages 86-115.
    18. Ginger Zhe Jin & Marc Rysman, 2015. "Platform Pricing at Sports Card Conventions," Journal of Industrial Economics, Wiley Blackwell, vol. 63(4), pages 704-735, December.
    19. Thomas A. Gresik & Kai A. Konrad, 2017. "Tax Havens, Accounting Experts, and Fee-Setting Rules," CESifo Working Paper Series 6774, CESifo.
    20. Michal Fabinger & E. Glen Weyl, 2018. "Functional Forms for Tractable Economic Models and the Cost Structure of International Trade," CIRJE F-Series CIRJE-F-1092, CIRJE, Faculty of Economics, University of Tokyo.

    More about this item

    Keywords

    Substitutes; Complements; Mergers; Imperfect competition;
    All these keywords.

    JEL classification:

    • 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

    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:eee:jetheo:v:152:y:2014:i:c:p:266-290. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/inca/622869 .

    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.