On the Impact of Player Capability on Congestion Games

@inproceedings{Yang2022OnTI,
  title={On the Impact of Player Capability on Congestion Games},
  author={Yichen Yang and Kai Jia and Martin C. Rinard},
  booktitle={SAGT},
  year={2022}
}
. We study the impact of player capability on social welfare in congestion games. We introduce a new game, the D istance-bounded N etwork C ongestion game (DNC) , as the basis of our study. DNC is a symmetric network congestion game with a bound on the number of edges each player can use. We show that DNC is PLS -complete in con-trast to standard symmetric network congestion games which are in P . To model different player capabilities, we propose using programs in a Domain-Specific Language (DSL… 

Mixed Capability Games

. We present a new class of strategic games, mixed capability games , as a foundation for studying how different player capabilities impact the dynamics and outcomes of strategic games. We analyze the

References

SHOWING 1-10 OF 25 REFERENCES

On the Impact of Combinatorial Structure on Congestion Games

TLDR
An approach is presented that enables us to devise hardness proofs for various kinds of combinatorial games, including first results about the hardness of market sharing games and congestion games for overlay network design.

Congestion Games with Polytopal Strategy Spaces

TLDR
This work reduces the problem of computing a best/worst symmetric approximate mixed-strategy Nash equilibrium in symmetric congestion games to a constraint optimization problem on a graph formed by the resources and the strategy constraints, and presents a fully polynomial time approximation scheme (FPTAS) for this problem when the graph has bounded treewidth.

Complexity of Pure Nash Equilibria in Player-Specific Network Congestion Games

TLDR
It is proved that it is NP-complete to decide whether a pure Nash equilibrium exists, and it is proven that pure Nash equilibria can be computed in polynomial time.

Stochastic Congestion Game for Load Balancing in Mobile-Edge Computing

TLDR
A multiuser decentralized learning algorithm is proposed to obtain the pure Nash equilibrium strategy of each user and can improve the load balancing of the multicloudlet system, and enhance the quality of service.

Existence and Complexity of Approximate Equilibria in Weighted Congestion Games

TLDR
It is shown that deciding whether a weighted congestion game has an $\tilde{O}(\sqrt{d})$-PNE is NP-complete, and a black-box gap-introducing method of combining such nonexistence results with a specific circuit gadget is provided, in order to derive NP-completeness of the decision version of the problem.

On the Inefficiency of Equilibria in Congestion Games

TLDR
A short geometric proof for the price of anarchy results that have recently been established in a series of papers on selfish routing in multicommodity flow networks is presented and improved bounds on the inefficiency of Nash equilibria are derived.

The complexity of pure Nash equilibria

TLDR
This work focuses on congestion games, and shows that a pure Nash equilibrium can be computed in polynomial time in the symmetric network case, while the problem is PLS-complete in general.

Congestion game scheduling for virtual drug screening optimization

TLDR
A mathematical model of task scheduling for virtual drug screening in high-performance computational systems as a congestion game between computational nodes to find the equilibrium solutions for best balancing the number of interim hits with their chemical diversity is proposed.

The Applications of Automata in Game Theory

TLDR
In this chapter, the authors studied different types of automata and their applications in game theory and found that finite automata, adaptive Automata, and cellular automata are widely adopted ingame theory.