Approximating congestion+ dilation in networks via" Quality of Routing” Games

C Busch, R Kannan… - IEEE Transactions on …, 2011 - ieeexplore.ieee.org
A classic optimization problem in network routing is to minimize C+ D, where C is the
maximum edge congestion and D is the maximum path length (also known as dilation). The …

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 …

Optimal cost sharing for resource selection games

P von Falkenhausen, T Harks - Mathematics of Operations …, 2013 - pubsonline.informs.org
Joint use of resources with usage-dependent cost raises the question: who pays how much?
We study cost sharing in resource selection games where the strategy spaces are either …

Competitive routing over time

M Hoefer, VS Mirrokni, H Röglin, SH Teng - Theoretical Computer Science, 2011 - Elsevier
Congestion games are a fundamental and widely studied model for selfish allocation
problems like routing and load balancing. An intrinsic property of these games is that players …

Strong equilibria in games with the lexicographical improvement property

T Harks, M Klimm, RH Möhring - International Journal of Game Theory, 2013 - Springer
We study a class of finite strategic games with the property that every deviation of a coalition
of players that is profitable to each of its members strictly decreases the lexicographical …

On the existence of pure Nash equilibria in weighted congestion games

T Harks, M Klimm - International Colloquium on Automata, Languages …, 2010 - Springer
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 …

Collaborative coalitions in multi-agent systems: Quantifying the strong price of anarchy for resource allocation games

BL Ferguson, D Paccagnan… - 2023 62nd IEEE …, 2023 - ieeexplore.ieee.org
The emergence of new communication technologies allows us to expand our understanding
of distributed control and consider collaborative decision-making paradigms. With …

Computing pure nash and strong equilibria in bottleneck congestion games

T Harks, M Hoefer, M Klimm, A Skopalik - Mathematical Programming, 2013 - Springer
Bottleneck congestion games properly model the properties of many real-world network
routing applications. They are known to possess strong equilibria—a strengthening of Nash …

The Max k-Cut Game and Its Strong Equilibria

L Gourvès, J Monnot - … Conference on Theory and Applications of Models …, 2010 - Springer
An instance of the max k− cut game is an edge weighted graph. Every vertex is controlled by
an autonomous agent with strategy space [1.. k]. Given a player i, his payoff is defined as the …

Coalition Resilient Outcomes in Max k-Cut Games

R Carosi, S Fioravanti, L Gualà, G Monaco - International Conference on …, 2019 - Springer
We investigate strong Nash equilibria in the max k-cut game, where we are given an
undirected edge-weighted graph together with a set {1, ..., k\} of k colors. Nodes represent …