A survey of static and dynamic potential games

D González-Sánchez, O Hernández-Lerma - Science China Mathematics, 2016 - Springer
Potential games are noncooperative games for which there exist auxiliary functions, called
potentials, such that the maximizers of the potential are also Nash equilibria of the …

Weighted congestion games: the price of anarchy, universal worst-case examples, and tightness

K Bhawalkar, M Gairing, T Roughgarden - ACM Transactions on …, 2014 - dl.acm.org
We characterize the Price of Anarchy (POA) in weighted congestion games, as a function of
the allowable resource cost functions. Our results provide as thorough an understanding of …

On potential equations of finite games

X Liu, J Zhu - Automatica, 2016 - Elsevier
In this paper, some new criteria for detecting whether a finite game is potential are proposed
by solving potential equations. The verification equations with the minimal number for …

Dynamic taxes for polynomial congestion games

V Bilò, C Vinci - ACM Transactions on Economics and Computation …, 2019 - dl.acm.org
We consider the efficiency of taxation in congestion games with polynomial latency functions
along the line of research initiated by Caragiannis et al.[ACM Transactions on Algorithms …

Optimal cost-sharing in general resource selection games

V Gkatzelis, K Kollias… - Operations …, 2016 - pubsonline.informs.org
Resource selection games provide a model for a diverse collection of applications where a
set of resources is matched to a set of demands. Examples include routing in traffic and in …

[HTML][HTML] Monotonicity of equilibria in nonatomic congestion games

R Cominetti, V Dose, M Scarsini - European Journal of Operational …, 2024 - Elsevier
This paper studies the monotonicity of equilibrium costs and equilibrium loads in nonatomic
congestion games, in response to variations of the demands. The main goal is to identify …

Strategy optimization for static games based on STP method

L Wang, Y Liu, Z Wu, FE Alsaadi - Applied Mathematics and Computation, 2018 - Elsevier
In this paper, we consider the choice behavior of players in a static game and discuss
solutions to static games of complete information problem via semi-tensor product (STP) …

Fixed cost allocation considering the input-output scale based on DEA approach

Q Feng, Z Wu, G Zhou - Computers & Industrial Engineering, 2021 - Elsevier
As independent and decentralized entities often share common resources, it is necessary to
allocate common costs across these subunits. When there is a lack of specific price …

Finite-sample analysis of decentralized Q-learning for stochastic games

Z Gao, Q Ma, T Başar, JR Birge - arXiv preprint arXiv:2112.07859, 2021 - arxiv.org
Learning in stochastic games is arguably the most standard and fundamental setting in multi-
agent reinforcement learning (MARL). In this paper, we consider decentralized MARL in …

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 …