Equilibrium, Games, and Pricing in Transportation and Telecommunication Networks

Network equilibrium models that have traditionally been used for transportation planning have penetrated in recent years to other scientific fields. These models have recently been introduced in the telecommunication networks literature, as well as in the field of game theory. Researchers in the latter fields are not always aware of the very rich literature on equilibrium models outside of their application area. On the other hand, researchers that have used network equilibrium models in transportation may not be aware of new application areas of their tools. The aim of this paper is to present some central research issues and tools in network equilibria and pricing that could bring closer the three mentioned research communities.

[1]  J. G. Wardrop,et al.  Some Theoretical Aspects of Road Traffic Research , 1952 .

[2]  T. Koopmans,et al.  Studies in the Economics of Transportation. , 1956 .

[3]  Robert W. Rosenthal,et al.  The network equilibrium problem in integers , 1973, Networks.

[4]  R. Rosenthal A class of games possessing pure-strategy Nash equilibria , 1973 .

[5]  K. Mani Chandy,et al.  Open, Closed, and Mixed Networks of Queues with Different Classes of Customers , 1975, JACM.

[6]  Benjamin Heydecker,et al.  Some Consequences of Detailed Junction Modeling in Road Traffic Assignment , 1983 .

[7]  Dimitri P. Bertsekas,et al.  Data Networks , 1986 .

[8]  G. Cohen,et al.  Nested monotony for variational inequalities over product of spaces and convergence of iterative algorithms , 1988 .

[9]  D. Mayne Nested Monotony for Variational Inequalities over Product of Spaces and Convergence of Iterative Algorithms , 1988 .

[10]  David Howard Bernstein,et al.  Programmability of continuous and discrete network equilibria , 1990 .

[11]  Michael Patriksson,et al.  The Traffic Assignment problem , 1994 .

[12]  L. Shapley,et al.  Potential Games , 1994 .

[13]  Hisao Kameda,et al.  Uniqueness of the solution for optimal static routing in open BCMP queueing networks , 1995 .

[14]  David Bernstein,et al.  The Traffic Equilibrium Problem with Nonadditive Path Costs , 1995, Transp. Sci..

[15]  F. Kelly,et al.  Braess's paradox in a loss network , 1997, Journal of Applied Probability.

[16]  亀田 壽夫,et al.  Optimal load balancing in distributed computer systems , 1997 .

[17]  Piyush Gupta,et al.  A system and traffic dependent adaptive routing algorithm for ad hoc networks , 1997, Proceedings of the 36th IEEE Conference on Decision and Control.

[18]  Abraham Neyman,et al.  Correlated equilibrium and potential games , 1997, Int. J. Game Theory.

[19]  Frank Kelly,et al.  Charging and rate control for elastic traffic , 1997, Eur. Trans. Telecommun..

[20]  Frank Kelly,et al.  Rate control for communication networks: shadow prices, proportional fairness and stability , 1998, J. Oper. Res. Soc..

[21]  M. Patriksson,et al.  SIDE CONSTRAINED TRAFFIC EQUILIBRIUM MODELS: TRAFFIC MANAGEMENT THROUGH LINK TOLLS. , 1998 .

[22]  Jonathan F. Bard,et al.  Practical Bilevel Optimization: Algorithms and Applications , 1998 .

[23]  Steven H. Low,et al.  Optimization flow control—I: basic algorithm and convergence , 1999, TNET.

[24]  Incentive compatible pricing strategies for QoS routing , 1999, IEEE INFOCOM '99. Conference on Computer Communications. Proceedings. Eighteenth Annual Joint Conference of the IEEE Computer and Communications Societies. The Future is Now (Cat. No.99CH36320).

[25]  David Bernstein,et al.  NONADDITIVE SHORTEST PATHS , 1999 .

[26]  Torbjörn Larsson,et al.  Side constrained traffic equilibrium models: analysis, computation and applications , 1999 .

[27]  Bijan Jabbari,et al.  Optimal Traffic Partitioning in MPLS Networks , 2000, NETWORKING.

[28]  David Bernstein,et al.  Nonadditive Shortest Paths: Subproblems in Multi-Agent Competitive Network Models , 2000, Comput. Math. Organ. Theory.

[29]  Eitan Altman,et al.  Competitive routing in networks with polynomial cost , 2000, Proceedings IEEE INFOCOM 2000. Conference on Computer Communications. Nineteenth Annual Joint Conference of the IEEE Computer and Communications Societies (Cat. No.00CH37064).

[30]  Eitan Altman,et al.  Equilibria for multiclass routing in multi-agent networks , 2001, Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228).

[31]  William H. Sandholm,et al.  Potential Games with Continuous Player Sets , 2001, J. Econ. Theory.

[32]  Eitan Altman,et al.  Analysis of two competing TCP/IP connections , 2002, Perform. Evaluation.

[33]  Eitan Altman,et al.  Non-cooperative routing in loss networks , 2002, Perform. Evaluation.

[34]  Eitan Altman,et al.  Competitive routing in networks with polynomial costs , 2002, IEEE Trans. Autom. Control..

[35]  Yasuaki Oishi,et al.  40th IEEE Conference on Decision and Control , 2002 .

[36]  P. Pardalos,et al.  Optimization and optimal control , 2003 .

[37]  Laura Wynter,et al.  A New Look at the Multiclass Network Equilibrium Problem , 2004, Transp. Sci..

[38]  Laura Wynter,et al.  Optimizing Proportionally Fair Prices , 2004, Telecommun. Syst..

[39]  Eitan Altman,et al.  Equilibria for Multiclass Routing Problems in Multi-Agent Networks , 2005 .

[40]  Eitan Altman,et al.  Competitive routing in multicast communications , 2005 .