Article
Mathematics
Shuo Wang, Zhuang Li, Weidong Li, Hua Jiang
Summary: This study introduces the concept of memory stability and investigates its effects on strategy distribution and average cooperation level. The findings suggest that reducing memory stability can enhance cooperation under certain conditions.
Article
Multidisciplinary Sciences
Xiaofeng Wang, Matjaz Perc
Summary: Research shows that in the public goods game, public cooperation thrives as expulsion costs increase, contrary to previous beliefs. This phenomenon is known as second-order free-rider problems, which usually require additional mechanisms to be resolved.
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
(2021)
Article
Multidisciplinary Sciences
Martin Lang, Radim Chvaja, Benjamin Grant Purzycki, David Vaclavik, Rostislav Stanek
Summary: People around the world engage in self-inflicted pain and wasteful practices, which help stabilize cooperation within groups. In an experimental study with university students, researchers found that high-cost signals were more effective in assorting cooperators and resulted in larger contributions to a common pool. However, the size of the costs needs to be carefully balanced with potential benefits to be profitable.
ROYAL SOCIETY OPEN SCIENCE
(2022)
Article
Mathematics, Applied
Jialu He, Jianwei Wang, Fengyuan Yu, Wei Chen, Wenshu Xu
Summary: In an enterprise, there are various parallel projects, leading to distinct group interactions. The conflict of interest between groups and individuals in a fiercely competitive environment makes it difficult for projects to proceed smoothly. By introducing a general framework of multiple public goods games, overall cooperation can be effectively promoted, especially when public resources are relatively scarce.
APPLIED MATHEMATICS AND COMPUTATION
(2022)
Article
Physics, Fluids & Plasmas
Joy Das Bairagya, Samrat Sohel Mondal, Debashish Chowdhury, Sagar Chakraborty
Summary: The tragedy of the commons occurs when a shared resource is overexploited by selfish individuals, leading to its depletion. A mathematical framework that incorporates density-dependent payoffs and logistic growth of the population has been introduced to model the game-resource feedback in eco-evolutionary dynamics. The dynamics show bistability where a finite carrying capacity can either prevent or cause the tragedy of the commons depending on initial conditions.
Article
Multidisciplinary Sciences
Zhijun Wu
Summary: Social distancing is a widely recommended measure during the global COVID-19 pandemic, but debates on its implementation and lack of research have led to confusion. Every individual's decision on engaging in social distancing plays a role in determining a population's optimal strategy in this social dilemma game.
Article
Mathematics, Applied
Hsuan-Wei Lee, Colin Cleveland, Attila Szolnoki
Summary: Punishing those who refuse to participate in common efforts is a known way to maintain cooperation, but it can make punishers vulnerable and jeopardize effectiveness. Hiring special players to monitor and punish defectors as an alternative using a tax-based fund is suggested. The level of tax and punishment fines are crucial factors in determining coexistence with cooperators or defectors and achieving optimal outcomes.
APPLIED MATHEMATICS AND COMPUTATION
(2022)
Article
Mathematics, Applied
Le Wang, Tong Chen, Zhenghong Wu
Summary: In an acquaintance society, reputation plays a crucial role in individuals' activities, especially in collective decision-making like crowd-funding. Different scoring rules for reputation were studied, with strict rules found to better stimulate cooperation in most cases. Individuals with good reputation have a stronger effect on cooperation compared to those with bad reputation.
APPLIED MATHEMATICS AND COMPUTATION
(2021)
Article
Multidisciplinary Sciences
Linjie Liu, Zhilong Xiao, Xiaojie Chen, Attila Szolnoki
Summary: This study shows that introducing early exclusion in repeated interactions can prevent the breakdown of cooperation, leading to an evolutionary oscillation among cooperators, defectors, and excluders. It also highlights that in finite populations, cooperators dominate most of the time with early exclusion.
JOURNAL OF THE ROYAL SOCIETY INTERFACE
(2022)
Article
Mathematics, Interdisciplinary Applications
MingYuan Li, HongWei Kang, XingPing Sun, Yong Shen, QingYi Chen
Summary: This study analyzes the replicator dynamics of tax-based punishment in the public goods game and finds that the combination of taxation and punishment can stabilize cooperation. Interestingly, tax-based punishment and tax-based pure reward can stabilize the same level of cooperation with the same conditions despite their opposite mechanisms.
CHAOS SOLITONS & FRACTALS
(2022)
Article
Mathematics, Interdisciplinary Applications
Attila Szolnoki, Xiaojie Chen
Summary: In a public goods game, reinvesting the results of common effort and adding it to the pool for the next round can change players' strategies, especially in structured populations where the last round is crucial for achieving full cooperation. In such cases, it may be advantageous for defectors to support the first round and enjoy the extra benefit of accumulated contributions.
CHAOS SOLITONS & FRACTALS
(2022)
Article
Mathematics, Interdisciplinary Applications
Hsuan-Wei Lee, Colin Cleveland, Attila Szolnoki
Summary: When people collaborate, they expect more than a simple sum of their efforts. In the public goods game, participants' contributions are multiplied by an r synergy factor before being distributed. This study explores the consequences of different group sizes and synergy factors. Results show that larger groups with higher synergy factors result in higher levels of cooperation, benefiting the entire community. Similar behavior is observed in other heterogeneous topologies.
CHAOS SOLITONS & FRACTALS
(2023)
Article
Mathematics, Interdisciplinary Applications
Yong Shen, Wei Lei, Hongwei Kang, Mingyuan Li, Xingping Sun, Qingyi Chen
Summary: In public goods games, rewards have been shown to be an effective mechanism for sustaining cooperation. However, pure cooperators become second-order free-riders because they are not willing to bear additional costs. To address this issue, introducing a tax mechanism can effectively incentivize cooperation.
CHAOS SOLITONS & FRACTALS
(2023)
Article
Physics, Multidisciplinary
Lihui Shang, Sihao Sun, Jun Ai, Zhan Su
Summary: This study investigates the evolution of cooperative behaviors in the spatial public goods game. The findings indicate that interaction diversity greatly enhances the level of cooperation compared to the traditional model with homogeneous social scope. The mechanism behind this improvement is based on the inhomogeneous interactive domain, where cooperators can easily maintain their strategies and stabilize the cooperative neighborhood, leading to the emergence of close cooperation clusters. Furthermore, increasing uncertainty in the strategy adoption process can help the system achieve full cooperation when the diversity mechanism is considered.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2022)
Article
Automation & Control Systems
Alain Govaert, Pouria Ramazi, Ming Cao
Summary: In this article, two general classes of evolution in games, myopic optimization and imitations, are examined. The combination of these dynamics, rational imitation, is investigated for its ability to converge to an imitation equilibrium profile on arbitrary networks and promote high levels of cooperation for small public goods multipliers.
IEEE TRANSACTIONS ON CONTROL OF NETWORK SYSTEMS
(2021)
Article
Mathematics, Interdisciplinary Applications
Bo Li, Tian Huang
Summary: This paper proposes an approximate optimal strategy based on a piecewise parameterization and optimization (PPAO) method for solving optimization problems in stochastic control systems. The method obtains a piecewise parameter control by solving first-order differential equations, which simplifies the control form and ensures a small model error.
CHAOS SOLITONS & FRACTALS
(2024)
Article
Mathematics, Interdisciplinary Applications
Guram Mikaberidze, Sayantan Nag Chowdhury, Alan Hastings, Raissa M. D'Souza
Summary: This study explores the collective behavior of interacting entities, focusing on the co-evolution of diverse mobile agents in a heterogeneous environment network. Increasing agent density, introducing heterogeneity, and designing the network structure intelligently can promote agent cohesion.
CHAOS SOLITONS & FRACTALS
(2024)
Article
Mathematics, Interdisciplinary Applications
Gengxiang Wang, Yang Liu, Caishan Liu
Summary: This investigation studies the impact behavior of a contact body in a fluidic environment. A dissipated coefficient is introduced to describe the energy dissipation caused by hydrodynamic forces. A new fluid damping factor is derived to depict the coupling between liquid and solid, as well as the coupling between solid and solid. A new coefficient of restitution (CoR) is proposed to determine the actual physical impact. A new contact force model with a fluid damping factor tailored for immersed collision events is proposed.
CHAOS SOLITONS & FRACTALS
(2024)