Exact price of anarchy for polynomial congestion games

S Aland, D Dumrauf, M Gairing, B Monien… - SIAM Journal on …, 2011 - SIAM
We show exact values for the worst-case price of anarchy in weighted and unweighted
(atomic unsplittable) congestion games, provided that all cost functions are bounded-degree …

On the existence of pure Nash equilibria in weighted congestion games

T Harks, M Klimm - Mathematics of Operations Research, 2012 - pubsonline.informs.org
We study the existence of pure Nash equilibria in weighted congestion games. Let 𝒞 denote
a set of cost functions. We say that 𝒞 is consistent if every weighted congestion game with …

Weighted congestion games: the price of anarchy, universal worst-case examples, and tightness

K Bhawalkar, M Gairing, T Roughgarden - ACM Transactions on …, 2014 - dl.acm.org
We characterize the Price of Anarchy (POA) in weighted congestion games, as a function of
the allowable resource cost functions. Our results provide as thorough an understanding of …

Exact price of anarchy for polynomial congestion games

S Aland, D Dumrauf, M Gairing, B Monien… - STACS 2006: 23rd …, 2006 - Springer
LNCS 3884 - Exact Price of Anarchy for Polynomial Congestion Games Page 1 Exact Price of
Anarchy for Polynomial Congestion Games * Sebastian Aland, Dominic Dumrauf, Martin …

Characterizing the existence of potential functions in weighted congestion games

T Harks, M Klimm, RH Möhring - Theory of Computing Systems, 2011 - Springer
Since the pioneering paper of Rosenthal a lot of work has been done in order to determine
classes of games that admit a potential. First, we study the existence of potential functions for …

Approximate pure Nash equilibria in weighted congestion games: existence, efficient computation, and structure

I Caragiannis, A Fanelli, N Gravin… - ACM Transactions on …, 2015 - dl.acm.org
We consider structural and algorithmic questions related to the Nash dynamics of weighted
congestion games. In weighted congestion games with linear latency functions, the …

User-centric radio access technology selection: A survey of game theory models and multi-agent learning algorithms

G Caso, Ö Alay, GC Ferrante, L De Nardis… - IEEE …, 2021 - ieeexplore.ieee.org
User-centric radio access technology (RAT) selection is a key communication paradigm,
given the increased number of available RATs and increased cognitive capabilities at the …

On approximate pure Nash equilibria in weighted congestion games with polynomial latencies

I Caragiannis, A Fanelli - Journal of Computer and System Sciences, 2021 - Elsevier
We consider weighted congestion games with polynomial latency functions of maximum
degree d≥ 1. For these games, we investigate the existence and efficiency of approximate …

A unifying tool for bounding the quality of non-cooperative solutions in weighted congestion games

V Bilo - International Workshop on Approximation and Online …, 2012 - Springer
We present a general technique, based on a primal-dual formulation, for analyzing the
quality of self-emerging solutions in weighted congestion games. With respect to traditional …

Restoring pure equilibria to weighted congestion games

K Kollias, T Roughgarden - … , ICALP 2011, Zurich, Switzerland, July 4-8 …, 2011 - Springer
Congestion games model several interesting applications, including routing and network
formation games, and also possess attractive theoretical properties, including the existence …