SIAM Journal on Discrete Mathematics
Algorithms, games, and the internet
STOC '01 Proceedings of the thirty-third annual ACM symposium on Theory of computing
Journal of the ACM (JACM)
The price of anarchy is independent of the network topology
Journal of Computer and System Sciences - STOC 2002
Linear time algorithms for the ring loading problem with demand splitting
Journal of Algorithms
The Price of Routing Unsplittable Flow
Proceedings of the thirty-seventh annual ACM symposium on Theory of computing
The price of anarchy of finite congestion games
Proceedings of the thirty-seventh annual ACM symposium on Theory of computing
Path decomposition under a new cost measure with applications to optical network design
ACM Transactions on Algorithms (TALG)
The Price of Stability for Network Design with Fair Cost Allocation
SIAM Journal on Computing
Computer Science Review
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This paper studies the selfish routing game in ring networks with a load-dependent linear latency on each link. We adopt the asymmetric atomic routing model. Each player selfishly chooses a route to connect his source-destination pair, aiming at the lowest latency of his route, while the system objective is to minimize the maximum latency among all routes of players. The effectiveness of these routing games is often measured by the price of anarchy (PoA), the worst-case ratio between the maximum latencies in a Nash equilibrium (NE) and in a system optimum, where NE refers to a ''stable state'' among all players, from which no player has the incentive to deviate unilaterally. In classical setting, no cooperation is allowed and 16 stands as the current best upper bound on the PoA of such selfish ring routing. In this paper we show that the PoA is at most 10.16 provided cooperations within pairs of players are allowed, where any two players could change their routes simultaneously if neither would experience a longer latency and at least one would experience a shorter latency.