On the performance of approximate equilibria in congestion games

G Christodoulou, E Koutsoupias, PG Spirakis - Algorithmica, 2011 - Springer
… For the price of stability of atomic congestion games we give non-tight bounds for linear
latencies. Our results not only encompass and generalize the existing results of exact equilibria …

Path deviations outperform approximate stability in heterogeneous congestion games

P Kleer, G Schäfer - Algorithmic Game Theory: 10th International …, 2017 - Springer
… We consider non-atomic network congestion games with … Nash flows coincide with approximate
Nash flows and derive tight … of both deviated and approximate Nash flows for arbitrary …

The price of stability of weighted congestion games

G Christodoulou, M Gairing, Y Giannakopoulos… - SIAM Journal on …, 2019 - SIAM
approximate pure Nash equilibrium with PoS at most (d+3)/2; the equilibrium's approximation
… Second, we show that for unweighted congestion games, the PoS of α-approximate Nash …

Convergence to approximate Nash equilibria in congestion games

S Chien, A Sinclair - Games and Economic Behavior, 2011 - Elsevier
games to rapidly reach an approximate (pure) Nash equilibrium. Our main result states that
for symmetric congestion games in … this question in the general arena of congestion games. A …

Approximation and convergence of large atomic congestion games

R Cominetti, M Scarsini, M Schröder… - Mathematics of …, 2023 - pubsonline.informs.org
… models to approximate the equilibria in the finite games. Finally, … of anarchy (PoA) and the
price of stability (PoS)—as measures of … congestion games and Bernoulli congestion games. …

Existence and complexity of approximate equilibria in weighted congestion games

G Christodoulou, M Gairing… - Mathematics of …, 2023 - pubsonline.informs.org
… More specifically, we are interested in the pure Nash equilibria (PNE) of those games;
these are stable configurations from which no player would benefit from unilaterally deviating. …

Computing approximate equilibria in weighted congestion games via best-responses

Y Giannakopoulos, G Noarov… - … of Operations Research, 2022 - pubsonline.informs.org
We present a deterministic polynomial-time algorithm for computing d d + o ( d ) -approximate
(pure) Nash equilibria in (proportional sharing) weighted congestion games with …

Price of stability in polynomial congestion games

G Christodoulou, M Gairing - ACM Transactions on Economics and …, 2015 - dl.acm.org
… of stability (PoS), which is an equally interesting concept, is much less understood. In this
article, we consider congestion games … The lower bound is still valid, as we can approximate an …

On the inefficiency ratio of stable equilibria in congestion games

A Asadpour, A Saberi - Internet and Network Economics: 5th International …, 2009 - Springer
… of the equilibria that are most stable in the presence of noise. In … games: atomic congestion
games and selfish load balancing. The noisy best-response dynamics in these games keeps …

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

I Caragiannis, A Fanelli - Journal of Computer and System Sciences, 2021 - Elsevier
congestion games with polynomial latency functions of maximum degree d ≥ 1 . For these
games, … α-approximate price of stability of the game as PoS α = min e ∈ E α ⁡ C ( e ) C ( o ) . …