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- W1581781809 abstract "We study a restricted related model of the network routing problem. There are m parallel links with possibly different speeds, between a source and a sink. And there are n users, and each user i has a traffic of weight w i to assign to one of the links from a subset of all the links, named his/her allowable set. We analyze the Price of Anarchy (denoted by PoA) of the system, which is the ratio of the maximum delay in the worst-case Nash equilibrium and in an optimal solution. In order to better understand this model, we introduce a parameter λ for the system, and define an instance to be λ-good if for every user, there exist a link with speed at least (frac{s_{max}}{lambda}) in his/her allowable set. In this paper, we prove that for λ-good instances, the Price of Anarchy is ( Theta big( min{frac{log lambda m}{log log lambda m}, m}big)). We also show an important application of our result in coordination mechanism design for task scheduling game. We propose a new coordination mechanism, Group-Makespan, for unrelated selfish task scheduling game. Our new mechanism ensures the existence of pure Nash equilibrium and its PoA is (O big(frac{log^2 m}{log log m}big)). This result improves the best known result of O(log2 m) by Azar, Jain and Mirrokni in [2]." @default.
- W1581781809 created "2016-06-24" @default.
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- W1581781809 date "2008-01-01" @default.
- W1581781809 modified "2023-09-23" @default.
- W1581781809 title "Worst-Case Nash Equilibria in Restricted Routing" @default.
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- W1581781809 doi "https://doi.org/10.1007/978-3-540-92185-1_30" @default.
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