Article
Mathematics, Interdisciplinary Applications
Tianyu Ren, Junjun Zheng
Summary: Altruistic sanctions play a crucial role in promoting cooperation in human society, and introducing a tolerance-based expulsion mechanism can significantly enhance cooperation, stabilize it under negative conditions, and determine the optimal threshold for implementation of expulsion.
CHAOS SOLITONS & FRACTALS
(2021)
Article
Mathematics, Applied
Ziyan Zeng, Qin Li, Minyu Feng
Summary: This study investigates the impact of probability distributions of individuals' payoffs on cooperation in the evolution of cooperation, identifying varied effects on cooperation behaviors in different network structures and games.
Article
Mathematics, Applied
Ziyan Zeng, Qin Li, Minyu Feng
Summary: In the evolution of cooperation, the randomness of individuals' payoffs in real situations introduces unpredictable factors. This study investigates the effects of payoff distribution and network structure on cooperation using simulations. The results show that for normally distributed payoffs, a higher standard deviation inhibits cooperation in one scenario but promotes it in another. For exponentially distributed payoffs, the small-world network provides the best conditions for cooperation emergence.
Article
Physics, Multidisciplinary
Jianwei Wang, Wenshu Xu, Xingjian Zhang, Nianxuan Zhao, Fengyuan Yu
Summary: Public resource redistribution is an important means of regulating social income equality. However, previous studies have not comprehensively defined low-income groups, and have overlooked the inequality caused by initial endowment differences. Additionally, it is important to consider whether redistribution benefits the whole and how to reduce inequality while promoting altruistic behavior.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2023)
Article
Mathematics
Simo Sun, Hui Yang, Guanghui Yang, Jinxiu Pi
Summary: This study constructs a tripartite repeated game model to analyze the evolution mechanism of suppliers, consumers, and government in the public goods market. It finds stable equilibrium points and verifies the impact of penalty coefficients and discount factors on strategy stability through numerical simulation. The research results provide a reference for decision-making by government, suppliers, and consumers in the public goods supply chain.
Article
Mathematics, Applied
Kuan Zou, Wenchen Han, Lan Zhang, Changwei Huang
Summary: This research extends the spatial PGG on hypergraphs and allows cooperators to allocate investments unevenly. The results show that allocating more resources to profitable groups can effectively promote cooperation. Additionally, a moderate negative value of investment preference leads to the lowest level of cooperation.
APPLIED MATHEMATICS AND COMPUTATION
(2024)
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
Physics, Multidisciplinary
J. A. Lima, P. H. T. Schimit
Summary: In groups, individuals tend to imitate their immediate neighbors' actions and ignore rational considerations, leading to herd behavior. By understanding the causes and consequences of individual decision-making in crowd dynamics, negative outcomes in situations like stock market bubbles and emergency situations can be mitigated. This paper presents a spatial game that induces herding behavior to investigate its impact on wealth distribution and cooperation in a population. The findings suggest that increased herd behavior leads to reduced cooperation and increased wealth inequality.& COPY; 2023 Elsevier B.V. All rights reserved.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2023)
Article
Mathematics, Interdisciplinary Applications
Xiaojian Ma, Ji Quan, Xianjia Wang
Summary: Cooperation in multi-person social dilemmas is analyzed using a heterogeneous investment model in this study. Results show that investments based on different reputation thresholds are efficient for promoting cooperation and increasing average payoffs in the system.
CHAOS SOLITONS & FRACTALS
(2021)
Article
Physics, Multidisciplinary
Jianchen Pan, Lan Zhang, Wenchen Han, Changwei Huang
Summary: This study investigates the effects of heterogeneous investment on the evolution of cooperation in a spatial public goods game on uniform random hypergraphs. The results show that heterogeneous investment can promote cooperation on uniform random hypergraphs. The theoretical predictions of the critical value of the reduced synergy factor rc are in qualitative agreement with the numerical simulation results, and the conclusions remain the same when considering the robustness with respect to the number of hyperedges.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2023)
Article
Mathematics, Interdisciplinary Applications
Mie Wang, HongWei Kang, Yong Shen, XingPing Sun, QingYi Chen
Summary: The research discusses the evolution of cooperation in spatial public goods games with alliance strategy on a square lattice network. Alliance players demonstrate the ability to clear out defectors by providing aid to their exploited allies. However, the level of cooperation is influenced by the intensity of aid and synergy factor.
CHAOS SOLITONS & FRACTALS
(2021)
Article
Mathematics, Interdisciplinary Applications
Rui Ding, Xianjia Wang, Jinhua Zhao, Cuiling Gu, Tao Wang
Summary: An interest coalition allows companies to transfer risks in a competitive business world. This paper studies whether such risk-transfer mechanism can induce cooperative behaviors in social dilemmas. By exploring the phase transitions, spatial dynamics, and evolution of strategies, the results show that interest coalitions have a positive impact on the competitiveness of cooperators but a negative impact on defectors. However, closer coalitions do not necessarily increase the overall level of cooperation in a more complex system.
CHAOS SOLITONS & FRACTALS
(2023)
Article
Mathematics, Applied
Juan Shi, Jinzhuo Liu, Matjaz Perc, Zhenghong Deng, Zhen Wang
Summary: The study shows that patterns formed by cooperators and defectors in sublattice-ordered spatial structures with different radius r values can help the former survive under adverse conditions. Innovators spontaneously organizing a socially divisive structure provides strong support for the evolution of cooperation and improves social systems.
Article
Mathematics, Applied
Shaojie Lv, Feifei Song
Summary: This study uses particle swarm optimization (PSO) to investigate the role of cooperation and punishment in public goods game, finding that intermediate values of the weighting coefficient omega increase the input of punishment, leading to a decrease in cooperation. For low or high values of omega, only cooperators on the edge of clusters tend to punish defectors, thereby increasing the cooperation level of the population.
APPLIED MATHEMATICS AND COMPUTATION
(2022)