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Transition-state replicator dynamics

Agent-based evolutionary game theory studies the dynamics of the autonomous agents. It is important for application that relies on the agents to perform the automated tasks. Since the agents make their own decision, therefore the stability of the interaction needs to be comprehended. The current sta...

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Main Authors:	Khaw, Yan Ngee, Kowalczyk, Ryszard, Vo, Quoc Bao, Abd Rahim, Nasrudin, Che, Hang Seng
Format:	Article
Published:	Elsevier 2021
Subjects:	QA75 Electronic computers. Computer science T Technology (General) TA Engineering (General). Civil engineering (General)
Online Access:	http://eprints.um.edu.my/28119/
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id	my.um.eprints.28119
record_format	eprints
spelling	my.um.eprints.281192022-07-25T03:36:07Z http://eprints.um.edu.my/28119/ Transition-state replicator dynamics Khaw, Yan Ngee Kowalczyk, Ryszard Vo, Quoc Bao Abd Rahim, Nasrudin Che, Hang Seng QA75 Electronic computers. Computer science T Technology (General) TA Engineering (General). Civil engineering (General) Agent-based evolutionary game theory studies the dynamics of the autonomous agents. It is important for application that relies on the agents to perform the automated tasks. Since the agents make their own decision, therefore the stability of the interaction needs to be comprehended. The current state of the art in agent-based replicator dynamics are piecewise and state-coupled replicator dynamics which focus on joint-action single-state reward. This paper introduces additional reward parameter to the learning algorithm, extends the replicator dynamics to joint-action transition-state reward and shows that it can be changed to single-state reward and independent-action reward. The replicator equation is expressed based on the tree diagram approach and is verified with the numerical simulation in a two states battle of sexes coordination game for various types of rewards. The numerical results are consistent with the phase portraits generated by the replicator equation and are able to provide some general insights to the coordination game such as the number of convergence points, the rate of convergence and the effect of initial points on the convergence. Elsevier 2021-11-15 Article PeerReviewed Khaw, Yan Ngee and Kowalczyk, Ryszard and Vo, Quoc Bao and Abd Rahim, Nasrudin and Che, Hang Seng (2021) Transition-state replicator dynamics. Expert Systems with Applications, 182. ISSN 0957-4174, DOI https://doi.org/10.1016/j.eswa.2021.115254 <https://doi.org/10.1016/j.eswa.2021.115254>. 10.1016/j.eswa.2021.115254
institution	Universiti Malaya
building	UM Library
collection	Institutional Repository
continent	Asia
country	Malaysia
content_provider	Universiti Malaya
content_source	UM Research Repository
url_provider	http://eprints.um.edu.my/
topic	QA75 Electronic computers. Computer science T Technology (General) TA Engineering (General). Civil engineering (General)
spellingShingle	QA75 Electronic computers. Computer science T Technology (General) TA Engineering (General). Civil engineering (General) Khaw, Yan Ngee Kowalczyk, Ryszard Vo, Quoc Bao Abd Rahim, Nasrudin Che, Hang Seng Transition-state replicator dynamics
description	Agent-based evolutionary game theory studies the dynamics of the autonomous agents. It is important for application that relies on the agents to perform the automated tasks. Since the agents make their own decision, therefore the stability of the interaction needs to be comprehended. The current state of the art in agent-based replicator dynamics are piecewise and state-coupled replicator dynamics which focus on joint-action single-state reward. This paper introduces additional reward parameter to the learning algorithm, extends the replicator dynamics to joint-action transition-state reward and shows that it can be changed to single-state reward and independent-action reward. The replicator equation is expressed based on the tree diagram approach and is verified with the numerical simulation in a two states battle of sexes coordination game for various types of rewards. The numerical results are consistent with the phase portraits generated by the replicator equation and are able to provide some general insights to the coordination game such as the number of convergence points, the rate of convergence and the effect of initial points on the convergence.
format	Article
author	Khaw, Yan Ngee Kowalczyk, Ryszard Vo, Quoc Bao Abd Rahim, Nasrudin Che, Hang Seng
author_facet	Khaw, Yan Ngee Kowalczyk, Ryszard Vo, Quoc Bao Abd Rahim, Nasrudin Che, Hang Seng
author_sort	Khaw, Yan Ngee
title	Transition-state replicator dynamics
title_short	Transition-state replicator dynamics
title_full	Transition-state replicator dynamics
title_fullStr	Transition-state replicator dynamics
title_full_unstemmed	Transition-state replicator dynamics
title_sort	transition-state replicator dynamics
publisher	Elsevier
publishDate	2021
url	http://eprints.um.edu.my/28119/
_version_	1739828439200825344
score	13.211869

Transition-state replicator dynamics

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