@inproceedings{3795d3198f014c419705cbcfe051c423,
title = "Mean-field game approach to admission control of an M/M/{\oe} queue with decreasing congestion cost",
abstract = "We study a mean field approximation of the M/M/∞ queuing system. The problem we deal with is quite different from standard games of congestion as we consider the case in which higher congestion results in smaller costs per user. This is motivated by a situation in which some TV show is broadcast so that the same cost is needed no matter how many users follow the show. Using a mean-field approximation, we show that this results in multiple equilibria of threshold type which we explicitly compute. We show that the mean-field approximation becomes tight as the workload increases, thus the results obtained for the mean-field model well approximate the discrete one.",
author = "Piotr Wiecek and Eitan Altman and Arnob Ghosh",
note = "Publisher Copyright: {\textcopyright} 2014 University of Trento.; 7th International Conference on Network Games, Control and Optimization, NetGCoop 2014 ; Conference date: 29-10-2014 Through 31-10-2014",
year = "2014",
month = jul,
day = "2",
language = "English (US)",
series = "2014 7th International Conference on Network Games, Control and Optimization, NetGCoop 2014",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "23--30",
booktitle = "2014 7th International Conference on Network Games, Control and Optimization, NetGCoop 2014",
address = "United States",
}