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 …
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
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 …
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 …
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 …
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 …
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
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 …
congestion games, in response to variations of the demands. The main goal is to identify …
Strategy optimization for static games based on STP method
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) …
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 …
allocate common costs across these subunits. When there is a lack of specific price …
Finite-sample analysis of decentralized Q-learning for stochastic games
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 …
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 …
We study cost sharing in resource selection games where the strategy spaces are either …