The price of anarchy in loss systems

Shoshana Anily*, Moshe Haviv

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


Assume a multi-server memoryless loss system. Each server is associated with a service rate and a value of service. Customers from a common Poisson arrival process are routed to the servers in an unobservable way, where the goal is to maximize the long-run expected reward per customer (which is the service value times the probability that the customer is not blocked). We first solve this problem under two criteria: social optimization and Nash equilibrium. Our main result is that the price of anarchy, defined as the ratio between the expected gain under the two criteria, is bounded by (Formula presented.). We also show, via examples, that this bound is tight for any number of servers.

Original languageEnglish
Pages (from-to)689-701
Number of pages13
JournalNaval Research Logistics
Issue number5
StatePublished - Aug 2022


  • loss systems
  • price of anarchy
  • routing games
  • symmetric Nash equilibrium
  • unobservable queues


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