Pricing in computer networks: reshaping the research agenda
ACM SIGCOMM Computer Communication Review
Paris metro pricing for the internet
Proceedings of the 1st ACM conference on Electronic commerce
Differentiated Services for the Internet
Differentiated Services for the Internet
Should Flat-Rate Internet Pricing Continue?
IT Professional
Analysis of Paris Metro Pricing Strategy for QoS with a Single Service Provider
IWQoS '01 Proceedings of the 9th International Workshop on Quality of Service
A mathematical model of the Paris metro pricing scheme for charging packet networks
Computer Networks: The International Journal of Computer and Telecommunications Networking - Special issue: Internet economics: Pricing and policies
Internet service classes under competition
IEEE Journal on Selected Areas in Communications
IEEE Journal on Selected Areas in Communications
Pricing congestible network resources
IEEE Journal on Selected Areas in Communications
Subscription dynamics and competition in communications markets
Proceedings of the 2010 Workshop on Economics of Networks, Systems, and Computation
A token pricing scheme for internet services
ICQT'11 Proceedings of the 7th international conference on Internet charging and QoS technologies: economics of converged, internet-based networks
Entry and spectrum sharing scheme selection in femtocell communications markets
IEEE/ACM Transactions on Networking (TON)
Net neutrality: A progress report
Telecommunications Policy
Optimal pricing and capacity partitioning for tiered access service in virtual networks
Computer Networks: The International Journal of Computer and Telecommunications Networking
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Paris Metro Pricing (PMP) is a simple multi-class flat-rate pricing scheme already practiced by transport systems, specifically by the Paris Metro at one time. The name is coined after Andrew Odlyzko proposed it for the Internet as a simple way to provide differentiated services. Subsequently, there were several analytical studies of this promising idea. The central issue of these studies is whether PMP is viable, namely, whether it will produce more profit for the service provider, or whether it will achieve more social welfare. The previous studies considered similar models, but arrived at different conclusions. In this paper, we point out that the key is how the users react to the congestion externality of the underlying system. We derive sufficient conditions of congestion functions that can guarantee the viability of PMP, and provide the relevant physical meanings of these conditions.