Worst-case equilibria

E Koutsoupias, C Papadimitriou - Computer science review, 2009 - Elsevier
In a system where noncooperative agents share a common resource, we propose the price
of anarchy, which is the ratio between the worst possible Nash equilibrium and the social …

Intrinsic robustness of the price of anarchy

T Roughgarden - Journal of the ACM (JACM), 2015 - dl.acm.org
The price of anarchy, defined as the ratio of the worst-case objective function value of a
Nash equilibrium of a game and that of an optimal outcome, quantifies the inefficiency of …

[KNJIGA][B] Handbook of approximation algorithms and metaheuristics

TF Gonzalez - 2007 - taylorfrancis.com
Delineating the tremendous growth in this area, the Handbook of Approximation Algorithms
and Metaheuristics covers fundamental, theoretical topics as well as advanced, practical …

The price of anarchy of finite congestion games

G Christodoulou, E Koutsoupias - … of the thirty-seventh annual ACM …, 2005 - dl.acm.org
We consider the price of anarchy of pure Nash equilibria in congestion games with linear
latency functions. For asymmetric games, the price of anarchy of maximum social cost is Θ …

[KNJIGA][B] Algorithms and theory of computation handbook, volume 2: special topics and techniques

MJ Atallah, M Blanton - 2009 - books.google.com
This handbook provides an up-to-date compendium of fundamental computer science
topics, techniques, and applications. Along with updating and revising many of the existing …

Stackelberg scheduling strategies

T Roughgarden - Proceedings of the thirty-third annual ACM symposium …, 2001 - dl.acm.org
We study the problem of optimizing the performance of a system shared by selfish,
noncooperative users. We consider the concrete setting of scheduling jobs on a set of …

Tight bounds for worst-case equilibria

A Czumaj, B Vöcking - ACM Transactions On Algorithms (TALG), 2007 - dl.acm.org
We study the problem of traffic routing in noncooperative networks. In such networks, users
may follow selfish strategies to optimize their own performance measure and therefore, their …

The structure and complexity of Nash equilibria for a selfish routing game

D Fotakis, S Kontogiannis, E Koutsoupias… - … Colloquium on Automata …, 2002 - Springer
In this work, we study the combinatorial structure and the computational complexity of Nash
equilibria for a certain game that models selfish routing over a network consisting of m …

Selfish unsplittable flows

D Fotakis, S Kontogiannis, P Spirakis - Theoretical Computer Science, 2005 - Elsevier
What is the price of anarchy when unsplittable demands are routed selfishly in general
networks with load-dependent edge delays? Motivated by this question we generalize the …

Regret minimization and the price of total anarchy

A Blum, MT Hajiaghayi, K Ligett, A Roth - Proceedings of the fortieth …, 2008 - dl.acm.org
We propose weakening the assumption made when studying the price of anarchy: Rather
than assume that self-interested players will play according to a Nash equilibrium (which …