Dynamic Model of Collaboration in Multi-Agent System Based on Evolutionary Game Theory

Multi-agent collaboration is greatly important in order to reduce the frequency of errors in message communication and enhance the consistency of exchanging information. This study explores the process of evolutionary decision and stable strategies among multi-agent systems, including followers, lea...

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Main Authors: Zhuozhuo Gou, Yansong Deng
Format: Article
Language:English
Published: MDPI AG 2021-10-01
Series:Games
Subjects:
Online Access:https://www.mdpi.com/2073-4336/12/4/75
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author Zhuozhuo Gou
Yansong Deng
author_facet Zhuozhuo Gou
Yansong Deng
author_sort Zhuozhuo Gou
collection DOAJ
description Multi-agent collaboration is greatly important in order to reduce the frequency of errors in message communication and enhance the consistency of exchanging information. This study explores the process of evolutionary decision and stable strategies among multi-agent systems, including followers, leaders, and loners, involved in collaboration based on evolutionary game theory (EGT). The main elements that affected the strategies are discussed, and a 3D evolution model is established. The evolutionary stability strategy (ESS) and stable conditions were analyzed subsequently. Numerical simulation results were obtained through MATLAB simulation, and they manifested that leaders play an important role in exchanging information with other agents, accepting agents’ state information, and sending messages to agents. Then, with the positivity of receiving and feeding back messages for followers, implementing message communication is profitable for the system, and the high positivity can accelerate the exchange of information. At the behavior level, reducing costs can strengthen the punishment of impeding the exchange of information and improve the positivity of collaboration to facilitate the evolutionary convergence toward the ideal state. Finally, the EGT results revealed that the possibility of collaboration between loners and others is improved, and the rewards are increased, thereby promoting the implementation of message communication that encourages leaders to send all messages, improve the feedback positivity of followers, and reduce the hindering degree of loners.
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spelling doaj.art-47f2ba704b744a7baae91a87800a53ff2023-11-23T08:26:36ZengMDPI AGGames2073-43362021-10-011247510.3390/g12040075Dynamic Model of Collaboration in Multi-Agent System Based on Evolutionary Game TheoryZhuozhuo Gou0Yansong Deng1Key Laboratory of Electronic Information of State Ethnic Affairs Commission, Southwest Minzu University, Chengdu 610041, ChinaKey Laboratory of Electronic Information of State Ethnic Affairs Commission, Southwest Minzu University, Chengdu 610041, ChinaMulti-agent collaboration is greatly important in order to reduce the frequency of errors in message communication and enhance the consistency of exchanging information. This study explores the process of evolutionary decision and stable strategies among multi-agent systems, including followers, leaders, and loners, involved in collaboration based on evolutionary game theory (EGT). The main elements that affected the strategies are discussed, and a 3D evolution model is established. The evolutionary stability strategy (ESS) and stable conditions were analyzed subsequently. Numerical simulation results were obtained through MATLAB simulation, and they manifested that leaders play an important role in exchanging information with other agents, accepting agents’ state information, and sending messages to agents. Then, with the positivity of receiving and feeding back messages for followers, implementing message communication is profitable for the system, and the high positivity can accelerate the exchange of information. At the behavior level, reducing costs can strengthen the punishment of impeding the exchange of information and improve the positivity of collaboration to facilitate the evolutionary convergence toward the ideal state. Finally, the EGT results revealed that the possibility of collaboration between loners and others is improved, and the rewards are increased, thereby promoting the implementation of message communication that encourages leaders to send all messages, improve the feedback positivity of followers, and reduce the hindering degree of loners.https://www.mdpi.com/2073-4336/12/4/75collaborationconsistencyevolutionary stability strategiesmulti-agentevolutionary game
spellingShingle Zhuozhuo Gou
Yansong Deng
Dynamic Model of Collaboration in Multi-Agent System Based on Evolutionary Game Theory
Games
collaboration
consistency
evolutionary stability strategies
multi-agent
evolutionary game
title Dynamic Model of Collaboration in Multi-Agent System Based on Evolutionary Game Theory
title_full Dynamic Model of Collaboration in Multi-Agent System Based on Evolutionary Game Theory
title_fullStr Dynamic Model of Collaboration in Multi-Agent System Based on Evolutionary Game Theory
title_full_unstemmed Dynamic Model of Collaboration in Multi-Agent System Based on Evolutionary Game Theory
title_short Dynamic Model of Collaboration in Multi-Agent System Based on Evolutionary Game Theory
title_sort dynamic model of collaboration in multi agent system based on evolutionary game theory
topic collaboration
consistency
evolutionary stability strategies
multi-agent
evolutionary game
url https://www.mdpi.com/2073-4336/12/4/75
work_keys_str_mv AT zhuozhuogou dynamicmodelofcollaborationinmultiagentsystembasedonevolutionarygametheory
AT yansongdeng dynamicmodelofcollaborationinmultiagentsystembasedonevolutionarygametheory