IDEAS home Printed from https://ideas.repec.org/a/spr/joptap/v128y2006i3d10.1007_s10957-006-9033-8.html
   My bibliography  Save this article

Dynamic Network-Based Discriminatory Pricing

Author

Listed:
  • G. E. Fruchter

    (Bar-llan University)

  • R. C. Rao

    (University of Texas at Dallas)

  • M. Shi

    (University of Toronto)

Abstract

We study the dynamic pricing decisions for competitive network service providers. We assume that each competing firm follows a three-part pricing scheme, which consists of an ongoing membership fee, a usage fee for communications within the networks, and another usage fee for communications across the networks. The difference between the two usage fees is the network-based price discount that allows price discrimination. We study the firms problems as a differential game and establish the optimal pricing policy as a Nash equilibrium feedback strategy depending on only the network sizes (i.e., the number of subscribers). We compare the dynamic network-based discount with the static discount. In the special case of a uniform calling pattern, we find that the firm network-based dynamic discount is always lower than the static discount; we find also that the firm that has a larger network can offer a bigger discount. These results are useful particularly for managers. To get further insights into the dynamic pricing policies, we explore the case of symmetric competition using numerical simulation.

Suggested Citation

  • G. E. Fruchter & R. C. Rao & M. Shi, 2006. "Dynamic Network-Based Discriminatory Pricing," Journal of Optimization Theory and Applications, Springer, vol. 128(3), pages 581-604, March.
  • Handle: RePEc:spr:joptap:v:128:y:2006:i:3:d:10.1007_s10957-006-9033-8
    DOI: 10.1007/s10957-006-9033-8
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10957-006-9033-8
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.

    File URL: https://libkey.io/10.1007/s10957-006-9033-8?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. Mitchell, Bridger M, 1978. "Optimal Pricing of Local Telephone Service," American Economic Review, American Economic Association, vol. 68(4), pages 517-537, September.
    2. Shlomo Kalish, 1983. "Monopolist Pricing with Dynamic Demand and Production Cost," Marketing Science, INFORMS, vol. 2(2), pages 135-159.
    3. Jean-Jacques Laffont & Patrick Rey & Jean Tirole, 1998. "Network Competition: II. Price Discrimination," RAND Journal of Economics, The RAND Corporation, vol. 29(1), pages 38-56, Spring.
    4. Jean-Jacques Laffont & Patrick Rey & Jean Tirole, 1998. "Network Competition: I. Overview and Nondiscriminatory Pricing," RAND Journal of Economics, The RAND Corporation, vol. 29(1), pages 1-37, Spring.
    5. Dipak C. Jain & Eitan Muller & Naufel J. Vilcassim, 1999. "Pricing Patterns of Cellular Phones and Phonecalls: A Segment-Level Analysis," Management Science, INFORMS, vol. 45(2), pages 131-141, February.
    6. Frank M. Bass, 1969. "A New Product Growth for Model Consumer Durables," Management Science, INFORMS, vol. 15(5), pages 215-227, January.
    7. Engelbert Dockner & Steffen Jørgensen, 1988. "Optimal Pricing Strategies for New Products in Dynamic Oligopolies," Marketing Science, INFORMS, vol. 7(4), pages 315-334.
    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. Fruchter, Gila E. & Sigué, Simon P., 2013. "Dynamic pricing for subscription services," Journal of Economic Dynamics and Control, Elsevier, vol. 37(11), pages 2180-2194.
    2. Ferrer, Juan-Carlos & Mora, Hugo & Olivares, Francisco, 2010. "On pricing of multiple bundles of products and services," European Journal of Operational Research, Elsevier, vol. 206(1), pages 197-208, October.

    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. Régis Chenavaz & Corina Paraschiv & Gabriel Turinici, 2017. "Dynamic Pricing of New Products in Competitive Markets: A Mean-Field Game Approach," Working Papers hal-01592958, HAL.
    2. M. Breton & F. Chauny & G. Zaccour, 1997. "Leader–Follower Dynamic Game of New Product Diffusion," Journal of Optimization Theory and Applications, Springer, vol. 92(1), pages 77-98, January.
    3. Ted Klastorin & Weiyu Tsai, 2004. "New Product Introduction: Timing, Design, and Pricing," Manufacturing & Service Operations Management, INFORMS, vol. 6(4), pages 302-320, August.
    4. Fabien Ngendakuriyo & Sihem Taboubi, 2017. "Pricing Strategies of Complementary Products in Distribution Channels: A Dynamic Approach," Dynamic Games and Applications, Springer, vol. 7(1), pages 48-66, March.
    5. Arda Yenipazarli, 2015. "A road map to new product success: warranty, advertisement and price," Annals of Operations Research, Springer, vol. 226(1), pages 669-694, March.
    6. Xavier Mancero & Eduardo Saavedra, 2006. "Un modelo de entrada y competencia en telecomunicaciones," Revista de Analisis Economico – Economic Analysis Review, Universidad Alberto Hurtado/School of Economics and Business, vol. 21(1), pages 29-57, July.
    7. Mesak, Hani I. & Bari, Abdullahel & Babin, Barry J. & Birou, Laura M. & Jurkus, Anthony, 2011. "Optimum advertising policy over time for subscriber service innovations in the presence of service cost learning and customers' disadoption," European Journal of Operational Research, Elsevier, vol. 211(3), pages 642-649, June.
    8. Régis Chenavaz & Corina Paraschiv & Gabriel Turinici, 2021. "Dynamic Pricing of New Products in Competitive Markets: A Mean-Field Game Approach," Dynamic Games and Applications, Springer, vol. 11(3), pages 463-490, September.
    9. Marius F. Niculescu & Seungjin Whang, 2012. "Research Note ---Codiffusion of Wireless Voice and Data Services: An Empirical Analysis of the Japanese Mobile Telecommunications Market," Information Systems Research, INFORMS, vol. 23(1), pages 260-279, March.
    10. E. J. Dockner & G. E. Fruchter, 2004. "Dynamic Strategic Pricing and Speed of Diffusion," Journal of Optimization Theory and Applications, Springer, vol. 123(2), pages 331-348, November.
    11. Viktória Kocsis, 2005. "Network Asymmetries and Access Pricing in Cellular Telecommunications," Tinbergen Institute Discussion Papers 05-085/1, Tinbergen Institute.
    12. Massey, Patrick, 2004. "Is Irish Utility Regulation Failing Consumers?," Quarterly Economic Commentary: Special Articles, Economic and Social Research Institute (ESRI), vol. 2004(4-Winter), pages 1-18.
    13. Major, Iván & Kiss, Károly Miklós, 2007. "A közszolgáltatások ösztönző szabályozása. Hálózatos szolgáltatások összekapcsolási díja [Stimulatory regulation in public services. The connection price of network services]," Közgazdasági Szemle (Economic Review - monthly of the Hungarian Academy of Sciences), Közgazdasági Szemle Alapítvány (Economic Review Foundation), vol. 0(2), pages 101-124.
    14. Kim, Namwoon & Srivastava, Rajendra K., 2007. "Modeling cross-price effects on inter-category dynamics: The case of three computing platforms," Omega, Elsevier, vol. 35(3), pages 290-301, June.
    15. Darghouth, M.N. & Ait-kadi, D. & Chelbi, A., 2017. "Joint optimization of design, warranty and price for products sold with maintenance service contracts," Reliability Engineering and System Safety, Elsevier, vol. 165(C), pages 197-208.
    16. Trichy V. Krishnan & Frank M. Bass & Dipak C. Jain, 1999. "Optimal Pricing Strategy for New Products," Management Science, INFORMS, vol. 45(12), pages 1650-1663, December.
    17. Dejan Trifunović & Đorđe Mitrović, 2016. "Price Discrimination, Entry, And Switching Costs In Network Competition," Economic Annals, Faculty of Economics and Business, University of Belgrade, vol. 61(209), pages 129-160, April - J.
    18. Peitz, Martin & Valletti, Tommaso M. & Wright, Julian, 2004. "Competition in telecommunications: an introduction," Information Economics and Policy, Elsevier, vol. 16(3), pages 315-321, September.
    19. Kocsis, Viktória, 2005. "A hálózatok közötti aszimmetria hatása a mobilszolgáltatók végződtetési díjára [The effect of asymmetry among networks on the provision charges of mobile telephone services]," Közgazdasági Szemle (Economic Review - monthly of the Hungarian Academy of Sciences), Közgazdasági Szemle Alapítvány (Economic Review Foundation), vol. 0(7), pages 663-685.
    20. Luís Cabral, 2011. "Dynamic Price Competition with Network Effects," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 78(1), pages 83-111.

    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:spr:joptap:v:128:y:2006:i:3:d:10.1007_s10957-006-9033-8. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.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.