IDEAS home Printed from https://ideas.repec.org/p/bol/bodewp/485.html
   My bibliography  Save this paper

Quality of service in the Congestible Internet: a Differential Game with Capacity Investments

Author

Listed:
  • L. Colombo

Abstract

We take a differential game approach to study the dynamic market interaction between two Internet Service Providers (ISP) offering services characterized by different quality levels. Web congestion is accounted for, consisting in the fact that for a given network capacity, i.e. for given amount of resources to be shared, the quality of services decreases with the number of customers. ISP firms, by accumulating capital, may invest in order to increase their own network capacity. In contrast with the acquired wisdom, we prove that there exists an admissible intertemporal parameters subset wherein the low quality firm performs better than the high quality firm in terms of equilibrium profits. Furthermore, we establish conditions under which the low quality firm becomes a natural monopolist. Finally, we prove that consumers may be better off under cooperative rather than under non cooperative play.

Suggested Citation

  • L. Colombo, 2003. "Quality of service in the Congestible Internet: a Differential Game with Capacity Investments," Working Papers 485, Dipartimento Scienze Economiche, Universita' di Bologna.
  • Handle: RePEc:bol:bodewp:485
    as

    Download full text from publisher

    File URL: http://amsacta.unibo.it/4809/1/485.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Motta, Massimo, 1993. "Endogenous Quality Choice: Price vs. Quantity Competition," Journal of Industrial Economics, Wiley Blackwell, vol. 41(2), pages 113-131, June.
    2. Ulrich Lehmann-Grube, 1997. "Strategic Choice of Quality When Quality is Costly: The Persistence of the High-Quality Advantage," RAND Journal of Economics, The RAND Corporation, vol. 28(2), pages 372-384, Summer.
    3. L. Colombo & L. Lambertini, 2003. "Dynamic Advertising Under Vertical Product Differentiation," Journal of Optimization Theory and Applications, Springer, vol. 119(2), pages 261-280, November.
    4. Motta, Massimo, 1992. "Cooperative R&D and vertical product differentiation," International Journal of Industrial Organization, Elsevier, vol. 10(4), pages 643-661, December.
    5. Shy,Oz, 2001. "The Economics of Network Industries," Cambridge Books, Cambridge University Press, number 9780521800952, September.
    6. Rosenkranz, Stephanie, 1995. "Innovation and cooperation under vertical product differentiation," International Journal of Industrial Organization, Elsevier, vol. 13(1), pages 1-22, March.
    7. Aoki, Reiko & Prusa, Thomas J., 1997. "Sequential versus simultaneous choice with endogenous quality," International Journal of Industrial Organization, Elsevier, vol. 15(1), pages 103-121, February.
    8. Jaskold Gabszewicz, J. & Thisse, J. -F., 1980. "Entry (and exit) in a differentiated industry," Journal of Economic Theory, Elsevier, vol. 22(2), pages 327-338, April.
    9. Klemperer, P., 1992. "Competition when Consumers Have Switching Costs: An Overview," Economics Series Working Papers 99142, University of Oxford, Department of Economics.
    10. Paul Klemperer, 1995. "Competition when Consumers have Switching Costs: An Overview with Applications to Industrial Organization, Macroeconomics, and International Trade," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 62(4), pages 515-539.
    11. Avner Shaked & John Sutton, 1982. "Relaxing Price Competition Through Product Differentiation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 49(1), pages 3-13.
    12. Luca Lambertini & Raimondello Orsini, 2001. "Network Externalities and the Overprovision of Quality by a Monopolist," Southern Economic Journal, John Wiley & Sons, vol. 67(4), pages 969-982, April.
    13. Jeffrey Rohlfs, 1974. "A Theory of Interdependent Demand for a Communications Service," Bell Journal of Economics, The RAND Corporation, vol. 5(1), pages 16-37, Spring.
    14. Mason, Robin, 2000. "Simple competitive Internet pricing," European Economic Review, Elsevier, vol. 44(4-6), pages 1045-1056, May.
    15. Gibbens, R. & Mason, R. & Steinberg, Richard, 2000. "Internet service classes under competition," LSE Research Online Documents on Economics 23577, London School of Economics and Political Science, LSE Library.
    16. Bental, Benjamin & Spiegel, Menahem, 1995. "Network Competition, Product Quality, and Market Coverage in the Presence of Network Externalities," Journal of Industrial Economics, Wiley Blackwell, vol. 43(2), pages 197-208, June.
    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. Luca Lambertini & Piero Tedeschi, 2007. "On the Social Desirability of Patents for Sequential Innovations in a Vertically Differentiated Market," Journal of Economics, Springer, vol. 90(2), pages 193-214, March.
    2. L. Lambertini & P. Tedeschi, 2003. "Sequential Entry in a Vertically Differentiated Duopoly," Working Papers 492, Dipartimento Scienze Economiche, Universita' di Bologna.
    3. L. Colombo & L. Lambertini, 2003. "Quality and Advertising in a Dynamic Duopoly," Working Papers 490, Dipartimento Scienze Economiche, Universita' di Bologna.
    4. Emanuele Bacchiega & Luca Lambertini & Andrea Mantovaini, 2011. "Process And Product Innovation In A Vertically Differentiated Industry," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 13(02), pages 209-221.
    5. Tse, Chung Yi, 2001. "Risky quality choice," International Journal of Industrial Organization, Elsevier, vol. 19(1-2), pages 185-212, January.
    6. Yurko, Anna V., 2011. "How does income inequality affect market outcomes in vertically differentiated markets?," International Journal of Industrial Organization, Elsevier, vol. 29(4), pages 493-503, July.
    7. Luca Lambertini & Piero Tedeschi, 2007. "On the Social Desirability of Patents for Sequential Innovations in a Vertically Differentiated Market," Journal of Economics, Springer, vol. 90(2), pages 193-214, March.
    8. Yi-Ling Cheng & Shin-Kun Peng, 2012. "Quality and Quantity Competition in a Multiproduct Duopoly," Southern Economic Journal, John Wiley & Sons, vol. 79(1), pages 180-202, July.
    9. L. Colombo & L. Lambertini, 2003. "Dynamic Advertising Under Vertical Product Differentiation," Journal of Optimization Theory and Applications, Springer, vol. 119(2), pages 261-280, November.
    10. Enrico Pennings, 2004. "Optimal Pricing And Quality Choice When Investment In Quality Is Irreversible," Journal of Industrial Economics, Wiley Blackwell, vol. 52(4), pages 569-589, December.
    11. Lambertini, Luca & Tampieri, Alessandro, 2012. "Low-quality leadership in a vertically differentiated duopoly with Cournot competition," Economics Letters, Elsevier, vol. 115(3), pages 396-398.
    12. Jinji, Naoto & Toshimitsu, Tsuyoshi, 2013. "Strategic R&D policy in a quality-differentiated industry with three exporting countries," Japan and the World Economy, Elsevier, vol. 28(C), pages 132-142.
    13. Yong-Hwan Noh & Giancarlo Moschini, 2006. "Vertical Product Differentiation, Entry-Deterrence Strategies, and Entry Qualities," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 29(3), pages 227-252, November.
    14. L. Lambertini & C. Iori, 2000. "Joint Venture for Product Innovation and Cartel Stability under Vertical Differentiation," Working Papers 385, Dipartimento Scienze Economiche, Universita' di Bologna.
    15. Li, Youping, 2014. "Price leadership in a vertically differentiated market," Economic Modelling, Elsevier, vol. 38(C), pages 67-70.
    16. Sreya Kolay & Rajeev K. Tyagi, 2022. "On the Effects of Raised Rival’s Costs," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 60(4), pages 567-586, June.
    17. Ngo Van Long & Zhuang Miao, 2020. "Multiple‐quality Cournot oligopoly and the role of market size," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 29(4), pages 932-952, October.
    18. Peter-J. Jost, 2023. "Price commitment and the strategic launch of a fighter brand," Quantitative Marketing and Economics (QME), Springer, vol. 21(3), pages 381-435, September.
    19. Hoffmann, Ruben, 2002. "Ownership Structure And Endogenous Quality Choice," 2002 Annual meeting, July 28-31, Long Beach, CA 19869, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    20. Ashantha Ranasinghe & Xuejuan Su, 2023. "When social assistance meets market power: A mixed duopoly view of health insurance in the United States," Economic Inquiry, Western Economic Association International, vol. 61(4), pages 851-869, October.

    More about this item

    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:bol:bodewp:485. 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: Dipartimento Scienze Economiche, Universita' di Bologna (email available below). General contact details of provider: https://edirc.repec.org/data/sebolit.html .

    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.