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A Game Theoretic Approach to Stable Routing in Max-Min Fair Networks
BibTeX
@MISC{Yang_agame,
author = {Dejun Yang and Guoliang Xue and Xi Fang and Satyajayant Misra and Jin Zhang},
title = {A Game Theoretic Approach to Stable Routing in Max-Min Fair Networks},
year = {}
}
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Abstract
Abstract — In this paper, we present a game theoretic study of the problem of routing in networks with max-min fair congestion control at the link level. The problem is formulated as a noncooperative game, in which each user aims to maximize its own bandwidth by selecting its routing path. We first prove the existence of Nash Equilibria. This is important, because at a Nash Equilibrium (NE), no user has any incentive to change its routing strategy—leading to a stable state. In addition, we investigate how the selfish behavior of users may affect the performance of the network as a whole. We next introduce a novel concept of observed available bandwidth on each link. It allows a user to find a path with maximum bandwidth under max-min fair congestion control in polynomial time, when paths of other users are fixed. We then present a game based algorithm to compute an NE and prove that by following the natural game course the network converges to an NE. Extensive simulations show that the algorithm converges to an NE within 10 iterations and also achieves better fairness compared with other algorithms. 1.
Keyphrases
max-min fair network game theoretic approach nash equilibrium max-min fair congestion control game theoretic study network converges natural game course observed available bandwidth selfish behavior stable state polynomial time novel concept link level noncooperative game extensive simulation
