[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 …

Polynomial Convergence of Bandit No-Regret Dynamics in Congestion Games

L Dadi, I Panageas, S Skoulakis, L Viano… - arXiv preprint arXiv …, 2024 - arxiv.org
We introduce an online learning algorithm in the bandit feedback model that, once adopted
by all agents of a congestion game, results in game-dynamics that converge to an $\epsilon …

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 …

Existence and complexity of approximate equilibria in weighted congestion games

G Christodoulou, M Gairing… - Mathematics of …, 2023 - pubsonline.informs.org
We study the existence of approximate pure Nash equilibria (α-PNE) in weighted atomic
congestion games with polynomial cost functions of maximum degree d. Previously, it was …

Computing better approximate pure Nash equilibria in cut games via semidefinite programming

I Caragiannis, Z Jiang - Proceedings of the 55th Annual ACM …, 2023 - dl.acm.org
Cut games are among the most fundamental strategic games in algorithmic game theory. It
is well-known that computing an exact pure Nash equilibrium in these games is PLS-hard …

A Smoothed FPTAS for Equilibria in Congestion Games

Y Giannakopoulos - arXiv preprint arXiv:2306.10600, 2023 - arxiv.org
We present a fully polynomial-time approximation scheme (FPTAS) for computing equilibria
in congestion games, under\emph {smoothed} running-time analysis. More precisely, we …

The impact of selfish behavior in load balancing games

V Bilò, C Vinci - arXiv preprint arXiv:2202.12173, 2022 - arxiv.org
To what extent does the structure of the players' strategy space influence the efficiency of
decentralized solutions in congestion games? In this work, we investigate whether better …

Node-max-cut and the complexity of equilibrium in linear weighted congestion games

D Fotakis, V Kandiros, T Lianeas… - 47th International …, 2020 - drops.dagstuhl.de
In this work, we seek a more refined understanding of the complexity of local optimum
computation for Max-Cut and pure Nash equilibrium (PNE) computation for congestion …

-approximate pure Nash equilibria algorithms for weighted congestion games and their runtimes

R Chunying, W Zijun, X Dachuan… - arXiv preprint arXiv …, 2022 - arxiv.org
This paper concerns computing approximate pure Nash equilibria in weighted congestion
games, which has been shown to be PLS-complete. With the help of $\hat {\Psi} $-game and …

Congestion Games: Equilibria, Networks, and Complexity

C Waldmann - 2022 - mediatum.ub.tum.de
We study the existence, computation, and quality of (approximate) pure Nash equilibria in
atomic (network) congestion games with increasing and decreasing resource cost functions …