On the impact of combinatorial structure on congestion games

H Ackermann, H Röglin, B Vöcking - Journal of the ACM (JACM), 2008 - dl.acm.org
We study the impact of combinatorial structure in congestion games on the complexity of
computing pure Nash equilibria and the convergence time of best response sequences. In …

Fast, fair, and efficient flows in networks

JR Correa, AS Schulz… - Operations …, 2007 - pubsonline.informs.org
We study the problem of minimizing the maximum latency of flows in networks with
congestion. We show that this problem is NP-hard, even when all arc latency functions are …

Atomic congestion games on graphs and their applications in networking

C Tekin, M Liu, R Southwell, J Huang… - … /ACM Transactions on …, 2012 - ieeexplore.ieee.org
In this paper, we introduce and analyze the properties of a class of games, the atomic
congestion games on graphs (ACGGs), which is a generalization of the classical congestion …

In congestion games, taxes achieve optimal approximation

D Paccagnan, M Gairing - Proceedings of the 22nd ACM Conference on …, 2021 - dl.acm.org
We consider the problem of minimizing social cost in atomic congestion games and show,
perhaps surprisingly, that efficiently computed taxation mechanisms yield the same …

Optimal cost sharing for resource selection games

P von Falkenhausen, T Harks - Mathematics of Operations …, 2013 - pubsonline.informs.org
Joint use of resources with usage-dependent cost raises the question: who pays how much?
We study cost sharing in resource selection games where the strategy spaces are either …

Barriers to near-optimal equilibria

T Roughgarden - 2014 IEEE 55th Annual Symposium on …, 2014 - ieeexplore.ieee.org
This paper explains when and how communication and computational lower bounds for
algorithms for an optimization problem translate to lower bounds on the worst-case quality of …

Stronger bounds on Braess's paradox and the maximum latency of selfish routing

H Lin, T Roughgarden, É Tardos, A Walkover - SIAM Journal on Discrete …, 2011 - SIAM
We give several new upper and lower bounds on the worst-case severity of Braess's
paradox and the price of anarchy of selfish routing with respect to the maximum latency …

[图书][B] Coping with Selfishness in Congestion Games: Analysis and Design Via LP Duality

V Bilò, C Vinci - 2023 - books.google.com
​ Congestion games are a fundamental class of games widely considered and studied in
non-cooperative game theory, introduced to model several realistic scenarios in which …

The complexity of welfare maximization in congestion games

CA Meyers, AS Schulz - Networks, 2012 - Wiley Online Library
We investigate issues of complexity related to welfare maximization in congestion games. In
particular, we provide a full classification of complexity results for the problem of finding a …

Smoothed efficient algorithms and reductions for network coordination games

S Boodaghians, R Kulkarni, R Mehta - arXiv preprint arXiv:1809.02280, 2018 - arxiv.org
Worst-case hardness results for most equilibrium computation problems have raised the
need for beyond-worst-case analysis. To this end, we study the smoothed complexity of …