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Article

Bounded Rational Decision-Risk Propagation Coupling Dynamics in Directed Weighted Multilayer Hypernetworks

1
School of Science, Dalian Maritime University, Dalian 116026, China
2
Department of Ship Command, Dalian Naval Academy, Dalian 116001, China
*
Authors to whom correspondence should be addressed.
Mathematics 2025, 13(18), 3010; https://doi.org/10.3390/math13183010
Submission received: 10 August 2025 / Revised: 31 August 2025 / Accepted: 8 September 2025 / Published: 17 September 2025

Abstract

Industrial symbiosis network (ISN) is crucial to improving resource utilization efficiency and promoting sustainable development. In order to mitigate the damage caused to symbiotic systems by risk propagation, this paper constructs a directed weighted multilayer hypernetwork model that considers bounded rational decision and risk propagation coupling (UAPAHU – SIS), providing a new method for risk management in industrial symbiosis networks. This paper constructs a weighted hypernetwork model to simulate the interaction of risk information in a symbiotic network and uses a time-varying adaptive propagation mechanism to describe the changes in bounded rational decisions made by enterprises during the risk information interaction process. A directed weighted network is developed to simulate the evolution process of an industrial symbiosis network, with the network topology representing the risk propagation path. The study also considers the roles of mass media and crowd effects and innovatively introduces the assumption of decision incubation periods. The proposed coupled dynamic model is theoretically analyzed and numerically simulated by using the Microscopic Markov Chain Approach (MMCA). The findings indicate that enhancing the enterprises’ risk response willingness and risk perception ability, improving the risk recovery ability, and cooperating with timely and accurate media reports can effectively inhibit the risk propagation on ISN.
Keywords: risk propagation; bounded rational decision; time-varying adaptive propagation mechanism; multilayer hypernetwork model; industrial symbiosis network risk propagation; bounded rational decision; time-varying adaptive propagation mechanism; multilayer hypernetwork model; industrial symbiosis network

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MDPI and ACS Style

Zheng, Y.; Wang, Z.; Xie, S.; Wang, P. Bounded Rational Decision-Risk Propagation Coupling Dynamics in Directed Weighted Multilayer Hypernetworks. Mathematics 2025, 13, 3010. https://doi.org/10.3390/math13183010

AMA Style

Zheng Y, Wang Z, Xie S, Wang P. Bounded Rational Decision-Risk Propagation Coupling Dynamics in Directed Weighted Multilayer Hypernetworks. Mathematics. 2025; 13(18):3010. https://doi.org/10.3390/math13183010

Chicago/Turabian Style

Zheng, Yueyue, Zhiping Wang, Shijie Xie, and Peiwen Wang. 2025. "Bounded Rational Decision-Risk Propagation Coupling Dynamics in Directed Weighted Multilayer Hypernetworks" Mathematics 13, no. 18: 3010. https://doi.org/10.3390/math13183010

APA Style

Zheng, Y., Wang, Z., Xie, S., & Wang, P. (2025). Bounded Rational Decision-Risk Propagation Coupling Dynamics in Directed Weighted Multilayer Hypernetworks. Mathematics, 13(18), 3010. https://doi.org/10.3390/math13183010

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