Proceedings ArticleDOI
Distributed Nash Equilibrium Searching via Fixed-Time Consensus-Based Algorithms
Zhongguo Li,Zhengtao Ding +1 more
- pp 2765-2770
TLDR
It is proved that, for any communication network with a connected graph, a fixed-time consensus is achieved, independent of the initial conditions, based on which an NE can be obtained asymptotically by the gradient descent term for the fixed- time consensus-based algorithm.Abstract:
In this paper, distributed algorithms are designed to search the Nash equilibrium (NE) for an $N$ -player game in continuous-time. The agents are not assumed to have direct access of other agents' states, and instead, they estimate other agents' states by communicating with their neighbours. Advanced consensus algorithms are implemented for such purposes, and consequently the game is decentralised into $N$ subsystems interacting over a communication network. It is proved that, for any communication network with a connected graph, a fixed-time consensus is achieved, independent of the initial conditions, based on which an NE can be obtained asymptotically by the gradient descent term for the fixed-time consensus-based algorithm. Then, the results are extended to a fixed-time NE seeking with modifications of the gradient terms, where both the consensus and the optimisation can be obtained in fixed time, and the upper bound of the settling time is established by the Lyapunov theory. A simulation example is presented to verify the effectiveness of the theoretical development, where some comparisons with other works are studied to demonstrate the advantages of the proposed algorithms.read more
Citations
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Journal ArticleDOI
Learning Automata-Based Multiagent Reinforcement Learning for Optimization of Cooperative Tasks
TL;DR: An algorithm known as learning automata for optimization of cooperative agents (LA-OCA) is proposed, which obtains the pure optimal joint strategy with a success rate of 100% in all of the three cooperative tasks and outperforms the other algorithms in terms of learning speed.
Journal ArticleDOI
Adaptive approaches for fully distributed Nash equilibrium seeking in networked games
Maojiao Ye,Guoqiang Hu +1 more
TL;DR: In this paper, two adaptive control laws, including a node-based control law and an edge based control law, are proposed to design fully distributed Nash equilibrium seeking strategies for networked games.
Posted Content
Adaptive Approaches for Fully Distributed Nash Equilibrium Seeking in Networked Games
Maojiao Ye,Guoqiang Hu +1 more
TL;DR: It is shown that the edge-based method can be easily adapted to accommodate time-varying communication conditions, in which the communication network is switching among a set of undirected and connected graphs.
Journal ArticleDOI
Time-varying multi-objective optimisation over switching graphs via fixed-time consensus algorithms
Zhongguo Li,Zhengtao Ding +1 more
TL;DR: This paper considers distributed multi-objective optimisation problems with time-varying cost functions for network-connected multi-agent systems over switching graphs with scalarisation approach to convert the problem into a weighted-sum objective.
Journal ArticleDOI
A distributed generalized Nash equilibrium seeking algorithm based on extremum seeking control
Feng Xiao,Xin Cai,Bo Wei +2 more
TL;DR: In this article , a distributed non-model based seeking algorithm which combines the extremum seeking control (ESC) jointly with learning algorithms is proposed to seek a generalized Nash equilibrium (GNE) for a class of non-cooperative games with coupled equality constraint.
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