Forward Contracts for Complementary Segments of a Communication Network

Congestion-dependent pricing is a form of traffic management that would ensure the efficient allocation of bandwidth between users and applications. As the unpredictability of congestion prices creates revenue uncertainty for network providers and cost uncertainty for users, it has been suggested that longer-term financial agreements such as forward contracts could be used to manage these risks. In a network managed by a single service provider, long-term forward contracts are beneficial for both the provider and the users. We investigate whether forward contracts would be adopted by multiple service providers in a future Internet with congestion-dependent pricing. We develop a novel game-theoretic model of a multi-provider communication network with two complementary segments. Service on the upstream segment is provided by a single Internet Service Provider (ISP) and priced dynamically to maximize profit, while several smaller ISPs sell connectivity on the downstream network segment, with the advance possibility of entering into forward contracts with their users for some or all of their capacity. We show that the equilibrium forward contracting levels are necessarily asymmetric, with one downstream provider entering into fewer forward contracts than the other competitors, thus ensuring a high subsequent downstream price level. In practice, network providers will choose the extent of forward contracting strategically based not only on their risk tolerance, but also on the market structure in the interprovider network and their peers' actions.

[1]  Costas Courcoubetis,et al.  Pricing Communication Networks , 2003 .

[2]  Richard Steinberg,et al.  A Contract and Balancing Mechanism for Sharing Capacity in a Communication Network , 2005, Computing and Markets.

[3]  Richard Mortier,et al.  Internet traffic engineering , 2002 .

[4]  R. Steinberg Pricing Internet Service , 2005 .

[5]  P. Dasgupta,et al.  Equilibrium in Competitive Insurance Markets : An Essay on the Economics of Imperfect Information , 2007 .

[6]  Yakov Rekhter,et al.  A Border Gateway Protocol 4 (BGP-4) , 1994, RFC.

[7]  William W. Sharkey The Theory of Natural Monopoly , 1982 .

[8]  R. Steinberg,et al.  Congestion pricing, Bertrand oligopoly, and forward contracts for bandwidth , 2007 .

[9]  Rayadurgam Srikant,et al.  The Mathematics of Internet Congestion Control , 2003 .

[10]  Costas Courcoubetis,et al.  Pricing Communication Networks: Economics, Technology and Modelling (Wiley Interscience Series in Systems and Optimization) , 2003 .

[11]  Xavier Vives,et al.  Rationing rules and Bertrand-Edgeworth equilibria in large markets , 1986 .

[12]  Ayalvadi J. Ganesh,et al.  Congestion pricing and user adaptation , 2001, Proceedings IEEE INFOCOM 2001. Conference on Computer Communications. Twentieth Annual Joint Conference of the IEEE Computer and Communications Society (Cat. No.01CH37213).

[13]  Pravin Varaiya,et al.  Pricing network services , 2003, IEEE INFOCOM 2003. Twenty-second Annual Joint Conference of the IEEE Computer and Communications Societies (IEEE Cat. No.03CH37428).

[14]  Yakov Rekhter,et al.  Application of the Border Gateway Protocol in the Internet , 1991, RFC.

[15]  Rayadurgam Srikant,et al.  The Mathematics of Internet Congestion Control (Systems and Control: Foundations and Applications) , 2004 .

[16]  David M. Kreps,et al.  Quantity Precommitment and Bertrand Competition Yield Cournot Outcomes , 1983 .

[17]  M. Yuksel,et al.  Contract-switching paradigm for internet value flows and risk management , 2008, IEEE INFOCOM Workshops 2008.

[18]  M. Shubik,et al.  Price duopoly and capacity constraints , 1972 .