Dynamics in congestion games
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Author(s)
Shah, Devavrat
Shin, Jinwoo
Date Issued
June 2010
Journal
International Conference on Measurement and Modeling of Computer Systems. ACM SIGMETRICS Proceedings
Publisher
Association for Computing Machinery / ACM-Sigmetrics
Citation
Shah, Devavrat, and Jinwoo Shin. “Dynamics in Congestion Games.” Proceedings of the ACM SIGMETRICS International Conference on Measurement and Modeling of Computer Systems - SIGMETRICS ’10. New York, New York, USA, 2010. 107. Copyright 2010 ACM
Version
Author's final manuscript
Abstract
Game theoretic modeling and equilibrium analysis of congestion
games have provided insights in the performance of
Internet congestion control, road transportation networks,
etc. Despite the long history, very little is known about
their transient (non equilibrium) performance.
In this paper, we are motivated to seek answers to questions
such as how long does it take to reach equilibrium,
when the system does operate near equilibrium in the presence
of dynamics, e.g. nodes join or leave. In this pursuit,
we provide three contributions in this paper. First, a novel
probabilistic model to capture realistic behaviors of agents
allowing for the possibility of arbitrariness in conjunction
with rationality. Second, evaluation of (a) time to converge
to equilibrium under this behavior model and (b) distance
to Nash equilibrium. Finally, determination of tradeoff
between the rate of dynamics and quality of performance
(distance to equilibrium) which leads to an interesting uncertainty
principle. The novel technical ingredients involve
analysis of logarithmic Sobolov constant of Markov process
with time varying state space and methodically this should
be of broader interest in the context of dynamical systems.
MIT Department
Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Massachusetts Institute of Technology. Department of Mathematics
Massachusetts Institute of Technology. Laboratory for Information and Decision Systems
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DOI of Published Version
https://doi.org/10.1145/1811099.1811052
