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evolutionary dynamics of multiplayer public goods game with the Wright-Fisher process

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS 2025年 662卷

作者： Gu, Cuiling Gao, Wenhao Wang, Xianjia Ding, Rui Zhao, Jinhua Henan Univ Technol Sch Management Zhengzhou 450001 Henan Peoples R China Wuhan Univ Sch Econ & Management Wuhan 430072 Peoples R China Cent China Normal Univ Fac Artificial Intelligence Educ Wuhan 430079 Peoples R China

A public goods game (PGG) is a classical evolutionary dynamic model frequently used to explore group interaction and is widely used to explain the emergence and maintenance of cooperation among selfish individuals. This work attempts to study the dynamics of cooperation in a multiplayer PGG that is based on the Wright-Fisher process (WFP). Firstly, a general game - multiplayer with two-strategy model based on the WFP - is established to solve the fixation probability of the strategy and to give its natural properties. Then, the multiplayer PGG model with cooperation and defection strategies, based on the WFP, is established, and the fixation probabilities of strategies are solved. In addition, the natural properties of fixation probability are obtained, and the effect of game parameters on the evolution dynamics of cooperation strategy is received. The results show that a turning point of the return coefficient does exist. When the interest factor is greater than the turning point, the cooperative strategy is more likely to occupy the entire population and is an evolutionarily stable strategy (ESSN);the fixation probability of the cooperative strategy also increases in line with the increases in cost and choice intensity. Moreover, the fixation probability of the cooperative strategy increases in line with the increase in the interest factor, and decreases in line with the increase in the number of individuals playing the game and population size. The research in this paper will provide more insights into the evolution of cooperation in a multiplayer PGG.

关键词： evolutionary dynamics Public goods game Wright-Fisher process Fixation probability

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evolutionary dynamics of the travel mode choice behavior based on the replicator-mutator model

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CHINESE JOURNAL OF PHYSICS 2025年 93卷 221-232页

作者： Zhao, Fangxia Shang, Huayan Li, Tongfei Capital Univ Econ & Business Sch Management Engn Beijing 100070 Peoples R China Beijing Univ Technol Beijing Key Lab Traff Engn Beijing 100124 Peoples R China

In this paper, we use the evolution dynamics of the replicator-mutator equation to understand people's travel mode choices considering the traveler's bounded rationality. We define the notation of choice utility and introduce a novel choice model for the evolutionary dynamics of travel mode choice behavior. The choice utility can be calculated from the generalized travel cost, including direct and indirect economic costs (i.e., time and comfort costs, etc.). Taking Beijing traffic data as an example, this paper studies the evolution process of travelers' behavior and analyzes the impact of mutation parameters, travel distance, direct cost and comfort cost on travel mode selection behavior, the simulation results show some strategies to adjust the travel mode selection probability. This study can provide a theoretical reference for adjusting the urban travel distribution structure and optimizing the travel network.

关键词： evolutionary dynamics replicator-mutator dynamics travel behavior travel mode choice bounded rationality

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Neural networks through the lens of evolutionary dynamics

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BIOSYSTEMS 2025年 248卷 105386页

作者： Baciu, Dan C. UCSB Interpretat Lab Santa Barbara CA USA ASB Interpretat Lab Bern Switzerland Delft Univ Technol Delft Netherlands

This article revisits Artificial Neural Networks (NNs) through the lens of evolutionary dynamics. The two most important features of NNs are shown to reflect the two most general processes of evolutionary dynamics. This overlap may serve as a new and powerful connection between NNs and evolutionary dynamics, which encompasses a body of knowledge that has been built over multiple centuries and has been expanded to inspire applications across a vast range of disciplines. Consequently, NNs should also be applicable across the same range of disciplines-that is, much more broadly than initially envisioned. The article concludes by opening questions about NN dynamics, based on the new connection to evolutionary dynamics.

关键词： evolutionary dynamics Artificial neural networks Artificial intelligence

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evolutionary dynamics of promoting electric vehicle-charging infrastructure based on public-private partnership cooperation

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ENERGY 2022年第PartD期239卷 122281-122281页

作者： Huang, Xingjun Lin, Yun Lim, Ming K. Zhou, Fuli Ding, Rui Zhang, Zusheng Chongqing Univ Coll Mech & Vehicle Engn Chongqing Peoples R China Chongqing Univ Sch Management Sci & Real Estate Chongqing Peoples R China Coventry Univ Ctr Business Soc Coventry W Midlands England Zhengzhou Univ Light Ind Sch Econ & Management Zhengzhou Peoples R China Wuhan Univ Econ & Management Sch Wuhan 430072 Peoples R China

Low profit margins have become a significant barrier to investment in and the operation of electric vehicle-charging infrastructure, leading to an urgent need for new business models. Notwithstanding, nonmandatory policies and unclear responsibilities create a social dilemma in which it is difficult to promote charging facilities in urban residential areas. This study examines the feasibility of overcoming this dilemma by examining possible incentive mechanisms involving government, charging infrastructure operators, real estate agencies, and electric vehicle users. Leveraging evolutionary game theory, this study designs a theoretical model based on strategic interactions among different agents in promoting charging facilities in urban residential areas. Our results indicate that (1) the optimal scenario in one in which all participants work closely together to popularize charging facilities, and this scenario has theoretical possibilities in the real world;(2) government subsidies are necessary but not sufficient for promoting charging facilities in urban residential areas;(3) electric vehicle user participation in promotion is critical;and (4) the operation model in this study is more economically efficient than prevalent industrial operation models, and the role of real estate agencies cannot be ignored. (c) 2021 Elsevier Ltd. All rights reserved.

关键词： Charging infrastructure Real estate Public-private partnership cooperation evolutionary dynamics Incentive mechanisms China

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evolutionary dynamics of social dilemmas with asymmetry

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PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS 2018年 496卷 156-161页

作者： Ma, Yongjuan Chu, Chen Chen, Fei Shen, Chen Geng, Yini Shi, Lei Yunnan Univ Finance & Econ Sch Stat & Math Kunming 650221 Yunnan Peoples R China Cocreat Sci Comp & Data Min Ctr Yunnan Kunming 650221 Yunnan Peoples R China

Asymmetric phenomenon is ubiquitous in human and animal societies. Based on this fact, we construct an asymmetric way to investigate the evolution of cooperation. In detail, the structured populations are classified into two types: players of type A (strong player) possess higher fitness, while players of type B (weak player) possess fitness equaling their payoffs. Through numerical simulation, we find that our asymmetric setup can promote the evolution of cooperation, which is related to the leader role of the players of type A. It is worth mentioning that the larger the value of omega, namely, the degree of asymmetric becomes more large, the higher the level of cooperation. Besides, the higher degree of asymmetric will lead to a long relaxation time reaching stationary state and less striking promoting effect. Lastly, in order to test the robustness of mechanism, we explore the evolution of cooperation on different topologies. (C) 2017 Elsevier B.V. All rights reserved.

关键词： Cooperation Asymmetric evolutionary dynamics

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evolutionary dynamics of a system with periodic coefficients

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COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION 2011年第10期16卷 3887-3895页

作者： Rand, Richard H. Yazhbin, Max Rand, David G. Cornell Univ Dept Math Ithaca NY 14853 USA Cornell Univ Dept Mech & Aerosp Engn Ithaca NY 14853 USA Cornell Univ Dept Chem & Biomol Engn Ithaca NY 14853 USA Harvard Univ Program Evolutionary Dynam Cambridge MA 02138 USA

We investigate a problem in evolutionary game theory based on replicator equations with periodic coefficients. This approach to evolution combines classical game theory with differential equations. The RPS (Rock-Paper-Scissors) system studied has application to the population biology of lizards and to bacterial dynamics. The presence of periodic coefficients models variations in the environment due to seasonal effects and results in parametric excitation which is studied through the use of perturbation series and numerical integration. (C) 2011 Elsevier By. All rights reserved.

关键词： Replicator equation Parametric excitation evolutionary dynamics

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evolutionary dynamics of glucose-deprived cancer cells: insights from experimentally informed mathematical modelling

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JOURNAL OF THE ROYAL SOCIETY INTERFACE 2024年第210期21卷 20230587页

作者： Almeida, Luis Denis, Jerome Alexandre Ferrand, Nathalie Lorenzi, Tommaso Prunet, Antonin Sabbah, Michele Villa, Chiara Univ Paris Sorbonne Univ CNRS InriaLab Jacques Louis LionsUMR 7598 F-75005 Paris France Sorbonne Univ Inst Univ Cancerol St Antoine Res Ctr CRSA Canc Biol & TherapeutINSERMCNRS F-75012 Paris France Hop La Pitie Salpetriere Dept Endocrinol & Oncol Biochem F-75013 Paris France Politecn Torino Dept Math Sci G L Lagrange Dipartimento Eccellenza 2018 2022 I-10129 Turin Italy

Glucose is a primary energy source for cancer cells. Several lines of evidence support the idea that monocarboxylate transporters, such as MCT1, elicit metabolic reprogramming of cancer cells in glucose-poor environments, allowing them to re-use lactate, a by-product of glucose metabolism, as an alternative energy source with serious consequences for disease progression. We employ a synergistic experimental and mathematical modelling approach to explore the evolutionary processes at the root of cancer cell adaptation to glucose deprivation, with particular focus on the mechanisms underlying the increase in MCT1 expression observed in glucose-deprived aggressive cancer cells. Data from in vitro experiments on breast cancer cells are used to inform and calibrate a mathematical model that comprises a partial integro-differential equation for the dynamics of a population of cancer cells structured by the level of MCT1 expression. Analytical and numerical results of this model suggest that environment-induced changes in MCT1 expression mediated by lactate-associated signalling pathways enable a prompt adaptive response of glucose-deprived cancer cells, while fluctuations in MCT1 expression due to epigenetic changes create the substrate for environmental selection to act upon, speeding up the selective sweep underlying cancer cell adaptation to glucose deprivation, and may constitute a long-term bet-hedging mechanism.

关键词： metabolic reprogramming evolutionary dynamics phenotype-structured equations MCT1 expression breast cancer mathematical modelling

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evolutionary dynamics of the weighted voter model with opinion strength on complex networks

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JOURNAL OF THE KOREAN PHYSICAL SOCIETY 2015年第11期66卷 1783-1788页

作者： Tang, Shaoting Yan, Shu Pei, Sen Zheng, Zhiming Minist Educ Key Lab Math Informat & Behav Semant Beijing Peoples R China Beihang Univ Sch Math & Syst Sci Beijing 100191 Peoples R China

The voter model has served to address the emergence of consensus within populations of individuals. However, the dynamics based on the classic voter model has usually been analyzed based on the assumption that the two states in the model are simply equivalent. In this paper, we discuss a mathematical description of the weighted voter model and obtain a series of results for the evolutionary process on complex networks. For homogeneous networks, we study the active link density analytically and find that the opinion strength plays a crucial role in determining whether the system can reach consensus. We also extend our research to heterogeneous networks and discover that the network structure can affect the convergence time but has less influence on the positive proportion. The results can be applied to various pervasive cases in which two conflicting opinions interact with each other.

关键词： Voter model evolutionary dynamics Complex networks

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evolutionary dynamics of CRISPR gene drives

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SCIENCE ADVANCES 2017年第4期3卷 1601964-1601964页

作者： Noble, Charleston Olejarz, Jason Esvelt, Kevin M. Church, George M. Nowak, Martin A. Harvard Univ Program Evolutionary Dynam Cambridge MA 02138 USA Harvard Univ Wyss Inst Biol Inspired Engn Cambridge MA 02138 USA Harvard Med Sch Dept Genet Cambridge MA 02138 USA Harvard Univ Dept Math Cambridge MA 02138 USA Harvard Univ Dept Organism & Evolutionary Biol Cambridge MA 02138 USA

The alteration of wild populations has been discussed as a solution to a number of humanity's most pressing ecological and public health concerns. Enabled by the recent revolution in genome editing, clustered regularly interspaced short palindromic repeats (CRISPR) gene drives-selfish genetic elements that can spread through populations even if they confer no advantage to their host organism-are rapidly emerging as the most promising approach. However, before real-world applications are considered, it is imperative to develop a clear understanding of the outcomes of drive release in nature. Toward this aim, we mathematically study the evolutionary dynamics of CRISPR gene drives. We demonstrate that the emergence of drive-resistant alleles presents a major challenge to previously reported constructs, and we show that an alternative design that selects against resistant alleles could greatly improve evolutionary stability. We discuss all results in the context of CRISPR technology and provide insights that inform the engineering of practical gene drive systems.

关键词： CRISPR Resistance evolutionary dynamics gene drive

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evolutionary dynamics of N-person snowdrift game

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PHYSICS LETTERS A 2015年第45-46期379卷 2922-2934页

作者： Sui, Xiukai Cong, Rui Li, Kun Wang, Long Peking Univ Coll Engn Ctr Syst & Control Beijing 100871 Peoples R China Xidian Univ Sch Mechanoelect Engn Xian 710071 Peoples R China

In this letter, we investigate the evolutionary dynamics of N-person snowdrift game in both well-mixed and structured populations. For well-mixed populations, we construct a double-threshold model considering both the necessary and the minimurn cost players should pay for completing the task. We have explored the influences of these thresholds on both equilibrium points in infinite populations and the fixation probabilities in finite populations. Results present complicated behaviors that show characteristics of both stag-hunt game and snowdrift game. For structured populations, we use pair approximation and diffusion approximation to derive the critical benefit-to-cost ratio in favor of cooperation. (C) 2015 Elsevier B.V. All rights reserved.

关键词： Multi-player snowdrift game evolutionary dynamics Cooperation

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