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

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  • 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
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    References listed on IDEAS

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    1. 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.
    2. Motta, Massimo, 1993. "Endogenous Quality Choice: Price vs. Quantity Competition," Journal of Industrial Economics, Wiley Blackwell, vol. 41(2), pages 113-131, June.
    3. 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.
    4. 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.
    5. 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.
    6. Klemperer, Paul, 1992. "Competition When Consumers Have Switching Costs: An Overview," CEPR Discussion Papers 704, C.E.P.R. Discussion Papers.
    7. 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.
    8. 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.
    9. Motta, Massimo, 1992. "Cooperative R&D and vertical product differentiation," International Journal of Industrial Organization, Elsevier, vol. 10(4), pages 643-661, December.
    10. Mason, Robin, 2000. "Simple competitive Internet pricing," European Economic Review, Elsevier, vol. 44(4-6), pages 1045-1056, May.
    11. Shy,Oz, 2001. "The Economics of Network Industries," Cambridge Books, Cambridge University Press, number 9780521800952.
    12. Rosenkranz, Stephanie, 1995. "Innovation and cooperation under vertical product differentiation," International Journal of Industrial Organization, Elsevier, vol. 13(1), pages 1-22, March.
    13. 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.
    14. 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.
    15. 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.
    16. 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.
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