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

D Fotakis, S Kontogiannis, E Koutsoupias… - … Colloquium on Automata …, 2002 - Springer
… computation of Nash equilibria for the selfish routing game we … We consider a network
consisting of a set of m parallel links 1… n network users 1, 2,...,n, or users for short, wishes to route a …

Nash equilibria for combined flow control and routing in networks: Asymptotic behavior for a large number of users

E Altman, T Basar, R Srikant - IEEE Transactions on automatic …, 2002 - ieeexplore.ieee.org
… the Nash equilibrium is not unique). For our case here, where the total throughput of the
players is not fixed, we consider a similar limit of the Nash equilibriumNash equilibria, and as a …

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

D Fotakis, S Kontogiannis, E Koutsoupias… - Theoretical Computer …, 2009 - Elsevier
… game considered in this work admits a weighted potential function, and thus a pure Nash
equilibrium, for any network even if the users have different sources and destinations. The …

The inefficiency of Nash and subgame perfect equilibria for network routing

J Correa, J de Jong, B De Keijzer… - … of operations research, 2019 - pubsonline.informs.org
equilibrium and that of Nash equilibrium. First, we derive a simple instance in which the
resulting actions of a subgame perfect equilibrium do not correspond to a Nash equilibrium. This …

Routing without regret: On convergence to Nash equilibria of regret-minimizing algorithms in routing games

A Blum, E Even-Dar, K Ligett - Proceedings of the twenty-fifth annual …, 2006 - dl.acm.org
… the Wardrop routing model, so long as edge latencies have bounded slope, we can view Nash
equilibria as not … For every network G and flow f at ϵ-Nash equilibrium on G, there exists a …

Nash equilibrium and the price of anarchy in priority based network routing

B Grimmer, S Kapoor - IEEE INFOCOM 2016-The 35th Annual …, 2016 - ieeexplore.ieee.org
… Non-Atomic routing splits traffic into a flow over multiple paths. … either the existence of Nash
Equilibrium or give a counterexample. We consider the inefficiency of equilibrium (termed as …

Nash equilibria of packet forwarding strategies in wireless ad hoc networks

M Felegyhazi, JP Hubaux… - IEEE Transactions on …, 2006 - ieeexplore.ieee.org
… for possible Nash equilibria in randomly generated scenarios. The existence of a Nash
equilibrium … From the routes, we build up the dependency graph of the network. The simulation …

Existence of Nash equilibria in selfish routing problems

A Ferrante, M Parente - International Colloquium on Structural Information …, 2004 - Springer
… to route their traffic on some links: in this case we show that at most one Nash equilibrium may
… We also study a dynamic behaviour of the network: given n strategies, one for each agent, …

Nash equilibria in competitive societies, with applications to facility location, traffic routing and auctions

A Vetta - The 43rd Annual IEEE Symposium on Foundations of …, 2002 - ieeexplore.ieee.org
… of Nash equilibria. In Section 4 we discuss pure strategy Nash equilibria and mixed strategy
Nash equilibria. We … In this section we consider the problem of routing traffic in a network. …

Nash equilibria in routing games with edge priorities

R Scheffler, M Strehler, LV Koch - arXiv preprint arXiv:1803.00865, 2018 - arxiv.org
… In this paper we present a new competitive packet routing model with edge priorities. We
consider players that route selfishly through a network over time and try to reach their …