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Mathematics
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Evolutionary Games, Propagation Processes and Control in Complex Systems
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Evolutionary Games, Propagation Processes and Control in Complex Systems

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Financial Mathematics".

Deadline for manuscript submissions: closed (31 December 2023) | Viewed by 17584

Special Issue Editors

Dr. Elena Gubar

E-Mail Website
Guest Editor
Faculty of Applied Mathematics and Control Processes, St. Petersburg State University, 199034 Saint Petersburg, Russia
Interests: evolutionary games; dynamic games and applications; operation research; epidemic and diffusion processes; optimal control in epidemic models
Dr. Denis Fedyanin

E-Mail Website
Guest Editor
1. V. A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences, 117997 Moscow, Russia
2. International Laboratory for Logic, Linguistics and Formal Philosophy, Computer Science Faculty, HSE University, 101000 Moscow, Russia
3. Moscow Institute of Physics and Technology, 117303 Moscow, Russia
Interests: social networks; game theory; epistemic; reflexive
Prof. Dr. Krzysztof J. Szajowski

E-Mail Website
Guest Editor
Faculty of Pure and Applied Mathematics, Wrocław University of Science and Technology, Wybrzeze Wyspianskiego 27, PL-50-370 Wrocław, Poland
Interests: mathematics; applied probability; statistics; computer science
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

Multi-agent systems are ubiquitous in many biological, economic social and engineering applications, including transportation, medicine, the internet and social networks. As the complexity and heterogeneity of the system grow, a new paradigm for analysis and design of large-scale complex systems is needed today to address critical design issues. Game theory, particularly, evolutionary and dynamic games, is a well understood tool to model and design pairwise interactions in complex systems. It provides a systematic methodology to understand systems from the beginning and enables a theoretic foundation to find scalable and feasible solutions for modern systems of multi-agent iterations.

This issue is devoted to the application and the development of evolutionary games and control methods for complex systems. It aims to bring together researchers who aim to develop theoretic frameworks for strategic decision making in complex systems, including evolutionary games, control theory, complex networks, and learning. The nature of this issue is multi-disciplinary. The application domains of the session include economics, biology, computer networks, and public health.

Dr. Elena Gubar
Dr. Denis Fedyanin
Prof. Dr. Krzysztof J. Szajowski
Guest Editors

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Keywords

  • evolutionary games
  • dynamic games
  • epidemic process
  • differential games
  • propagation processes in complex systems
  • epidemics
  • optimal control for epidemics

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Published Papers (7 papers)

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9 pages, 633 KiB  
Article
Evolutionary Stable Strategies in Multistage Games
by Leon A. Petrosyan and Xiuxiu Liu
Mathematics 2023, 11(11), 2492; https://doi.org/10.3390/math11112492 - 29 May 2023
Cited by 3 | Viewed by 1600
Abstract
Direct ESS has some disadvantages, which are seen even in the case of repeated games when the sequence of stage ESSs may not constitute the direct ESS in the repeated game. We present here the refinement of the ESS definition, which eliminates these [...] Read more.
Direct ESS has some disadvantages, which are seen even in the case of repeated games when the sequence of stage ESSs may not constitute the direct ESS in the repeated game. We present here the refinement of the ESS definition, which eliminates these disadvantages and represents the base for the definition of ESS in games in extensive form. The effectiveness of this approach for multistage n-person games is shown for metagame (this notion is used for the first time), in which under some relevant conditions, the existence of ESS is proved, and ESSs are constructed using threat strategies. Full article
(This article belongs to the Special Issue Evolutionary Games, Propagation Processes and Control in Complex Systems)
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17 pages, 1398 KiB  
Article
Quarantine and Vaccination in Hierarchical Epidemic Model
by Elena Gubar, Vladislav Taynitskiy, Denis Fedyanin and Ilya Petrov
Mathematics 2023, 11(6), 1450; https://doi.org/10.3390/math11061450 - 16 Mar 2023
Viewed by 1511
Abstract
The analysis of global epidemics, such as SARS, MERS, and COVID-19, suggests a hierarchical structure of the epidemic process. The pandemic wave starts locally and accelerates through human-to-human interactions, eventually spreading globally after achieving an efficient and sustained transmission. In this paper, we [...] Read more.
The analysis of global epidemics, such as SARS, MERS, and COVID-19, suggests a hierarchical structure of the epidemic process. The pandemic wave starts locally and accelerates through human-to-human interactions, eventually spreading globally after achieving an efficient and sustained transmission. In this paper, we propose a hierarchical model for the virus spread that divides the spreading process into three levels: a city, a region, and a country. We define the virus spread at each level using a modified susceptible–exposed–infected–recovery–dead (SEIRD) model, which assumes migration between levels. Our proposed controlled hierarchical epidemic model incorporates quarantine and vaccination as complementary optimal control strategies. We analyze the balance between the cost of the active virus spread and the implementation of appropriate quarantine measures. Furthermore, we differentiate the levels of the hierarchy by their contribution to the cost of controlling the epidemic. Finally, we present a series of numerical experiments to support the theoretical results obtained. Full article
(This article belongs to the Special Issue Evolutionary Games, Propagation Processes and Control in Complex Systems)
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18 pages, 1477 KiB  
Article
A Tripartite Evolutionary Game Analysis of Participant Decision-Making Behavior in Mobile Crowdsourcing
by Hanyun Hao, Jian Yang and Jie Wang
Mathematics 2023, 11(5), 1269; https://doi.org/10.3390/math11051269 - 6 Mar 2023
Cited by 5 | Viewed by 2038
Abstract
With the rapid development of the Internet of Things and the popularity of numerous sensing devices, Mobile crowdsourcing (MCS) has become a paradigm for collecting sensing data and solving problems. However, most early studies focused on schemes of incentive mechanisms, task allocation and [...] Read more.
With the rapid development of the Internet of Things and the popularity of numerous sensing devices, Mobile crowdsourcing (MCS) has become a paradigm for collecting sensing data and solving problems. However, most early studies focused on schemes of incentive mechanisms, task allocation and data quality control, which did not consider the influence and restriction of different behavioral strategies of stakeholders on the behaviors of other participants, and rarely applied dynamic system theory to analysis of participant behavior in mobile crowdsourcing. In this paper, we first propose a tripartite evolutionary game model of crowdsourcing workers, crowdsourcing platforms and task requesters. Secondly, we focus on the evolutionary stability strategies and evolutionary trends of different participants, as well as the influential factors, such as participants’ irrational personality, conflict of interest, punishment intensity, technical level and awareness of rights protection, to analyze the influence of different behavioral strategies on other participants. Thirdly, we verify the stability of the equilibrium point of the tripartite game system through simulation experiments. Finally, we summarize our work and provide related recommendations for governing agencies and different stakeholders to facilitate the continuous operation of the mobile crowdsourcing market and maximize social welfare. Full article
(This article belongs to the Special Issue Evolutionary Games, Propagation Processes and Control in Complex Systems)
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18 pages, 1270 KiB  
Article
Influence of the Internal Structure on the Integral Risk of a Complex System on the Example of the Risk Minimization Problem in a “Star” Type Structure
by Alexander Shiroky and Andrey Kalashnikov
Mathematics 2023, 11(4), 998; https://doi.org/10.3390/math11040998 - 15 Feb 2023
Cited by 1 | Viewed by 1286
Abstract
This paper is devoted to studying the influence of the structure of a complex system on its integral risk. When solving risk management problems, it often becomes necessary to take into account structural effects, which most often include risk transfer and failure propagation. [...] Read more.
This paper is devoted to studying the influence of the structure of a complex system on its integral risk. When solving risk management problems, it often becomes necessary to take into account structural effects, which most often include risk transfer and failure propagation. This study discusses the influence of the position of the elements of a protected system inside a fixed structure of the “star” type on its integral risk. The authors demonstrate that the problem of the optimal placement of elements in such a structure from the point of view of minimizing the risk cannot be precisely solved by analytical methods and propose an algorithm for solving it with bounded errors. For the case of equal expected damages in case of a successful attack of a system element, the authors calculate upper estimates for the relative error of solving the placement problem using the proposed algorithm and also propose a methodology for rapid risk assessment for systems with a “star” type structure. Finally, for the particular case when the risks of elements are in a certain ratio, the authors have found an exact solution to the problem of the optimal placement of elements. Full article
(This article belongs to the Special Issue Evolutionary Games, Propagation Processes and Control in Complex Systems)
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16 pages, 1494 KiB  
Article
Market Demand Optimization Model Based on Information Perception Control
by Guanghui Yuan, Zhiqiang Liu, Yaqiong Wang and Dongping Pu
Mathematics 2023, 11(3), 783; https://doi.org/10.3390/math11030783 - 3 Feb 2023
Viewed by 1570
Abstract
The development of Internet technology and the rise of social networks have expanded the means of product information dissemination. Nowadays, consumers can obtain not only product quality information through real life contacts, but can also obtain product cognitive information through virtual networks, which [...] Read more.
The development of Internet technology and the rise of social networks have expanded the means of product information dissemination. Nowadays, consumers can obtain not only product quality information through real life contacts, but can also obtain product cognitive information through virtual networks, which constitute consumers’ information perception together. However, information in the market can be controlled, and companies can change the perceptions of their consumer base towards their products by enhancing the dissemination of information on the Internet, thus achieving higher corporate revenue. This article aims to study the evolution process of market demand under the control of consumers’ information perception, and a two-layer network model consisting of a cognitive information layer and a quality information layer were constructed. In order to improve product information dissemination efficiency, the opinion leaders who are more active in responding to mentions of the product across social networks are selected, and these opinion leaders are influenced in a stepwise manner using the maximum influence model, thus investigating the relationship between resources and corporate revenue. Using scale-free networks for simulation analysis, there are three main conclusions. First, the cognitive information and quality information of the product could affect market demand. Second, product demand and company profits would increase significantly if key individuals were added to the cognitive information layer. Third, the incremental marginal effect of key individuals decreases as their number increases. Full article
(This article belongs to the Special Issue Evolutionary Games, Propagation Processes and Control in Complex Systems)
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13 pages, 2689 KiB  
Article
Optimal Route Design for Construction Waste Transportation Systems: Mathematical Models and Solution Algorithms
by Haoqing Wang, Wen Yi and Yannick Liu
Mathematics 2022, 10(22), 4340; https://doi.org/10.3390/math10224340 - 18 Nov 2022
Cited by 3 | Viewed by 1914
Abstract
A huge amount of construction waste is generated in construction sites every day that needs to be transported by vehicle to disposal facilities for processing. Unlike in most typical transportation problems, once these vehicles are loaded with construction waste, they must travel directly [...] Read more.
A huge amount of construction waste is generated in construction sites every day that needs to be transported by vehicle to disposal facilities for processing. Unlike in most typical transportation problems, once these vehicles are loaded with construction waste, they must travel directly to the disposal facility. Moreover, there are different types of construction waste that may require handling by different disposal facilities. In this paper, we develop a model and algorithm for identifying the optimal transportation routes specific to construction waste transportation. Our results can not only minimize the overall costs for both the logistics company and the contractor but also minimize the distance traveled, thus reducing urban traffic emissions. Full article
(This article belongs to the Special Issue Evolutionary Games, Propagation Processes and Control in Complex Systems)
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41 pages, 82819 KiB  
Article
Evolutionary Game of Multi-Subjects in Live Streaming and Governance Strategies Based on Social Preference Theory during the COVID-19 Pandemic
by Tinggui Chen, Lijuan Peng, Jianjun Yang, Guodong Cong and Guoping Li
Mathematics 2021, 9(21), 2743; https://doi.org/10.3390/math9212743 - 28 Oct 2021
Cited by 48 | Viewed by 6196
Abstract
After the outbreak of the COVID-19, offline consumption has been significantly impacted. For the sake of safety, online consumption has become the most common manner, and this has generated e-commerce, which not only breaks the spatio-temporal or regional restrictions, but also conforms to [...] Read more.
After the outbreak of the COVID-19, offline consumption has been significantly impacted. For the sake of safety, online consumption has become the most common manner, and this has generated e-commerce, which not only breaks the spatio-temporal or regional restrictions, but also conforms to the normal economic development needs for epidemic prevention and control. However, this new business model causes problems such as the shortage of post-sales service, false publicity, and uneven quality of live streaming anchors, seriously affecting the interests of consumers. Therefore, it is urgent to strengthen the management of the chaos of live streaming. This study focuses on exploring the problems and the behavioral strategies of stakeholders in the governance process. The paper obtained online user comments by python, and used topic clustering and subject extraction methods to dig out the problems and related multiple subjects in live streaming at first. Secondly, the theory of social preference was introduced to construct an evolutionary game model among multiple subjects, and how to guide the behavioral decision-making of multiple subjects to standardize and rationalize was studied, so as to control the problem of live streaming. Finally, simulation experiments were conducted and the results demonstrated that: (1) Compared with strengthening the reciprocal preference of the government, live streaming platforms, and consumers, changing the individual’s altruistic preference is more effective in controlling the chaos of live streaming; (2) weakening the platform’s altruistic preference for anchors is conducive to creating a good live streaming environment; and (3) changing consumers’ altruistic preference or reciprocal preference is less effective in promoting the governance of the live streaming environment. Full article
(This article belongs to the Special Issue Evolutionary Games, Propagation Processes and Control in Complex Systems)
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