IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v8y2020i6p865-d363502.html
   My bibliography  Save this article

Hotelling’s Duopoly in a Two-Sided Platform Market on the Plane

Author

Listed:
  • Vladimir Mazalov

    (Institute of Applied Mathematical Research, Karelian Research Center of the Russian Academy of Sciences, 11, Pushkinskaya str., 185910 Petrozavodsk, Russia
    School of Mathematics and Statistics, Qingdao University, Qingdao 266071, China
    Institute of Applied Mathematics of Shandong, Qingdao 266071, China
    The work was supported by the Shandong Province “Double-Hundred Talent Plan” (No. WST2017009).)

  • Elena Konovalchikova

    (Laboratory of Digital Technologies in Regional Development, Karelian Research Center of the Russian Academy of Sciences, 11, Pushkinskaya str., 185910 Petrozavodsk, Russia
    These authors contributed equally to this work.)

Abstract

Equilibrium in a two-sided market represented by network platforms on the plane and heterogeneous agents is investigated. The advocated approach is based on the duopoly model which implies a continuum of agents of limited size on each side of the market and examines the agents’ heterogeneous utility with the Hotelling specification. The exact values were found for the equilibrium in the case of duopoly in a two-sided market with two platforms on the plane. The dependence of the platforms’ benefits on network externalities was investigated. The problem of the optimal location of platforms in the market was considered.

Suggested Citation

  • Vladimir Mazalov & Elena Konovalchikova, 2020. "Hotelling’s Duopoly in a Two-Sided Platform Market on the Plane," Mathematics, MDPI, vol. 8(6), pages 1-16, May.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:6:p:865-:d:363502
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/8/6/865/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/8/6/865/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Mark Armstrong, 2006. "Competition in two‐sided markets," RAND Journal of Economics, RAND Corporation, vol. 37(3), pages 668-691, September.
    2. 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.
    3. Caillaud, Bernard & Jullien, Bruno, 2003. "Chicken & Egg: Competition among Intermediation Service Providers," RAND Journal of Economics, The RAND Corporation, vol. 34(2), pages 309-328, Summer.
    4. Bester, Helmut & de Palma, Andre & Leininger, Wolfgang & Thomas, Jonathan & von Thadden, Ernst-Ludwig, 1996. "A Noncooperative Analysis of Hotelling's Location Game," Games and Economic Behavior, Elsevier, vol. 12(2), pages 165-186, February.
    5. Mark Armstrong & Julian Wright, 2007. "Two-sided Markets, Competitive Bottlenecks and Exclusive Contracts," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 32(2), pages 353-380, August.
    6. Jean-Charles Rochet & Jean Tirole, 2003. "Platform Competition in Two-Sided Markets," Journal of the European Economic Association, MIT Press, vol. 1(4), pages 990-1029, June.
    7. Richard Schmalensee, 2002. "Payment Systems and Interchange Fees," Journal of Industrial Economics, Wiley Blackwell, vol. 50(2), pages 103-122, June.
    8. Vladimir Mazalov & Minoru Sakaguchi, 2003. "Location Game On The Plane," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 5(01), pages 13-25.
    9. Jean-Charles Rochet & Jean Tirole, 2002. "Cooperation Among Competitors: Some Economics Of Payment Card Associations," RAND Journal of Economics, The RAND Corporation, vol. 33(4), pages 549-570, Winter.
    10. 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.
    11. Geoffrey G. Parker & Marshall W. Van Alstyne, 2000. "Information Complements, Substitutes, and Strategic Product Design," William Davidson Institute Working Papers Series 299, William Davidson Institute at the University of Michigan.
    12. 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.
    13. V. V. Mazalov & A. V. Melnik, 2016. "Equilibrium Prices and Flows in the Passenger Traffic Problem," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 18(01), pages 1-19, March.
    Full references (including those not matched with items on IDEAS)

    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. 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.
    2. Dietl Helmut & Duschl Tobias & Franck Egon & Lang Markus, 2012. "A Contest Model of a Professional Sports League with Two-Sided Markets," Journal of Economics and Statistics (Jahrbuecher fuer Nationaloekonomie und Statistik), De Gruyter, vol. 232(3), pages 336-359, June.
    3. 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.
    4. Paul Belleflamme & Eric Toulemonde, 2009. "Negative Intra-Group Externalities In Two-Sided Markets," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 50(1), pages 245-272, February.
    5. Jeon, Doh-Shin & Jullien, Bruno & Klimenko, Mikhail, 2021. "Language, internet and platform competition," Journal of International Economics, Elsevier, vol. 131(C).
    6. Subhasish M. Chowdhury & Stephen Martin, 2017. "Exclusivity and exclusion on platform Markets," Journal of Economics, Springer, vol. 120(2), pages 95-118, March.
    7. Oliver Budzinski & Janina Satzer, 2008. "Sports Business and the Theory of Multisided Markets," MAGKS Papers on Economics 200811, Philipps-Universität Marburg, Faculty of Business Administration and Economics, Department of Economics (Volkswirtschaftliche Abteilung).
    8. Wilko Bolt & Sujit Chakravorti, 2010. "Digitization of Retail Payment," DNB Working Papers 270, Netherlands Central Bank, Research Department.
    9. Moraga-Gonzalez, Jose L. & Wildenbeest, Matthijs R., 2011. "Comparison sites," IESE Research Papers D/933, IESE Business School.
      • Jose Luis Moraga-Gonzalez & Matthijs R. Wildenbeest, 2011. "Comparison Sites," Working Papers 2011-04, Indiana University, Kelley School of Business, Department of Business Economics and Public Policy.
    10. Jonathan Levin, 2011. "The Economics of Internet Markets," Discussion Papers 10-018, Stanford Institute for Economic Policy Research.
    11. Oliver Budzinski & Annika Stöhr, 2019. "Competition policy reform in Europe and Germany – institutional change in the light of digitization," European Competition Journal, Taylor & Francis Journals, vol. 15(1), pages 15-54, January.
    12. Andrei Hagiu, 2004. "Two-Sided Platforms: Pricing and Social Efficiency," Discussion papers 04035, Research Institute of Economy, Trade and Industry (RIETI).
    13. Carrillo, Juan D. & Tan, Guofu, 2021. "Platform competition with complementary products," International Journal of Industrial Organization, Elsevier, vol. 77(C).
    14. Jullien, Bruno & Pavan, Alessandro & Rysman, Marc, 2021. "Two-sided Markets, Pricing, and Network Effects," TSE Working Papers 21-1238, Toulouse School of Economics (TSE).
    15. Xing Wan & Javier Cenamor & Geoffrey Parker & Marshall Van Alstyne, 2017. "Unraveling Platform Strategies: A Review from an Organizational Ambidexterity Perspective," Sustainability, MDPI, vol. 9(5), pages 1-18, May.
    16. Paul Belleflamme & Martin Peitz, 2019. "Managing competition on a two‐sided platform," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 28(1), pages 5-22, January.
    17. Oliver Budzinski & Janina Satzer, 2011. "Sports Business and Multisided Markets: Towards a New Analytical Framework? (Long Version)," Working Papers 1104, International Association of Sports Economists;North American Association of Sports Economists.
    18. Doh-Shin Jeon & Jean-Charles Rochet, 2010. "The Pricing of Academic Journals: A Two-Sided Market Perspective," American Economic Journal: Microeconomics, American Economic Association, vol. 2(2), pages 222-255, May.
    19. Aghaei, Hossein & Talebloo, Reza & Khodada Kashi, Farhad, 2020. "Regulating Iranian Card payments System as a Two-Sided Market," Journal of Money and Economy, Monetary and Banking Research Institute, Central Bank of the Islamic Republic of Iran, vol. 15(2), pages 199-220, April.
    20. Iñigo Herguera, 2021. "Competencia y regulación de (algunas) plataformas digitales en la UE," Working Papers 2021-10, FEDEA.

    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:gam:jmathe:v:8:y:2020:i:6:p:865-:d:363502. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    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.