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We have studied the impact of time-dependent learning capacities of players in the framework of spatial prisoner's dilemma game. In our model, this capacity of players may decrease or increase in time after strategy adoption according to a…

物理与社会 · 物理学 2010-09-21 Attila Szolnoki , Zhen Wang , Jinlong Wang , Xiaodan Zhu

Cooperation and defection are social traits whose evolutionary origin is still unresolved. Recent behavioral experiments with humans suggested that strategy changes are driven mainly by the individuals' expectations and not by imitation.…

物理与社会 · 物理学 2024-02-13 Miguel Aguilar-Janita , Nagi Khalil , Inmaculada Leyva , Irene Sendiña-Nadal

An open problem in evolutionary game dynamics is to understand the effect of peer pressure on cooperation in a quantitative manner. Peer pressure can be modeled by punishment, which has been proved to be an effective mechanism to sustain…

物理与社会 · 物理学 2015-09-23 Han-Xin Yang , Zhi-Xi Wu , Zhihai Rong , Ying-Cheng Lai

Interactions among individuals in natural populations often occur in a dynamically changing environment. Understanding the role of environmental variation in population dynamics has long been a central topic in theoretical ecology and…

种群与进化 · 定量生物学 2021-05-18 Feng Huang , Ming Cao , Long Wang

The game interactions among individuals in nature are often uncertain and dynamically evolving, significantly influencing the persistence of cooperation. However, it remains a formidable challenge to effectively characterize these dynamic…

计算机科学与博弈论 · 计算机科学 2026-03-24 Bin Pi , Minyu Feng , Liang-Jian Deng , Xiaojie Chen , Attila Szolnoki

Recent studies in the spatial prisoner's dilemma games with reinforcement learning have shown that static agents can learn to cooperate through a diverse sort of mechanisms, including noise injection, different types of learning algorithms…

人工智能 · 计算机科学 2025-07-08 Gustavo C. Mangold , Heitor C. M. Fernandes , Mendeli H. Vainstein

We study the combined influence of selection and random fluctuations on the evolutionary dynamics of two-strategy ("cooperation" and "defection") games in populations comprising cooperation facilitators. The latter are individuals that…

种群与进化 · 定量生物学 2013-11-13 Mauro Mobilia

Cooperation plays a fundamental role in societal and biological domains, and the population structure profoundly shapes the dynamics of evolution. Practically, individuals behave either altruistically or egoistically in multiple groups,…

适应与自组织系统 · 物理学 2024-04-05 Dini Wang , Peng Yi , Yiguang Hong , Jie Chen , Gang Yan

The spatial structure of populations may promote the emergence and maintenance of cooperation. Cooperation in the prisoner's dilemma is favored under specific update rules in evolutionary graph theory models with one individual per node of…

种群与进化 · 定量生物学 2026-01-29 Damien Ribière , Alia Abbara , Anne-Florence Bitbol

Cooperation within asymmetric populations has garnered significant attention in evolutionary games. This paper explores cooperation evolution in populations with weak and strong players, using a game model where players choose between…

适应与自组织系统 · 物理学 2024-03-12 Hao Guo , Chen Shen , Rongcheng Zou , Pin Tao , Yuanchun Shi , Zhen Wang , Junliang Xing

Matrix games like Prisoner's Dilemma have guided research on social dilemmas for decades. However, they necessarily treat the choice to cooperate or defect as an atomic action. In real-world social dilemmas these choices are temporally…

多智能体系统 · 计算机科学 2017-02-13 Joel Z. Leibo , Vinicius Zambaldi , Marc Lanctot , Janusz Marecki , Thore Graepel

Elucidating the mechanisms that lead to cooperation is still one of the main scientific challenges of current times, as many common cooperative scenarios remain elusive and at odds with Darwin's natural selection theory. Here, we study…

物理与社会 · 物理学 2021-07-14 H. Guo , D. Jia , I. Sendiña-Nadal , M. Zhang , Z. Wang , X. Li , K. Alfaro-Bittner , Y. Moreno , S. Boccaletti

In the framework of the paradigmatic prisoner's dilemma, we investigate the evolutionary dynamics of social dilemmas in the presence of "cooperation facilitators". In our model, cooperators and defectors interact as in the classical…

种群与进化 · 定量生物学 2012-08-02 Mauro Mobilia

This paper investigates the long-term behavior of an interacting particle system of interest in the hot topic of evolutionary game theory. Each site of the $d$-dimensional integer lattice is occupied by a player who is characterized by one…

概率论 · 数学 2016-06-07 Eric Foxall , Nicolas Lanchier

We propose a model of evolutionary snowdrift game with $N$-person interactions and study the effects of multi-person interactions on the emergence of cooperation. An exact $N$-th-order equation for the equilibrium density of cooperators…

生物物理 · 物理学 2009-11-13 D. F. Zheng , H. P. Yin , C. H. Chan , P. M. Hui

Recent empirical studies suggest that heavy-tailed distributions of human activities are universal in real social dynamics [Muchnik, \emph{et al.}, Sci. Rep. \textbf{3}, 1783 (2013)]. On the other hand, community structure is ubiquitous in…

物理与社会 · 物理学 2015-01-14 Zhi-Xi Wu , Zhihai Rong , Han-Xin Yang

The phenomenon of group cooperation constitutes a fundamental mechanism underlying various social and biological systems. Complex networks provide a structural framework for group interactions, where individuals can not only obtain…

物理与社会 · 物理学 2025-05-29 Hongqian Wu , Hongzhong Deng , Jichao Li , Chengxing Wu , Zhuoting Yu , Haidong Zhang , Gaoxin Qi

The evolution of cooperation among unrelated individuals in human and animal societies remains a challenging issue across disciplines. It is an important subject also in the evolutionary game theory to research how cooperation arises. The…

物理与社会 · 物理学 2018-10-23 Norihito Toyota

We investigate the evolution of cooperation on a non - growth network model with death/birth dynamics. Nodes reproduce under selection for higher payoffs in a prisoners dilemma game played between network neighbours. The mean field…

种群与进化 · 定量生物学 2009-11-13 Vasils Hatzopoulos , Henrik Jeldtoft Jensen

Cooperation and competition coexist and coevolve in natural and social systems. Cooperation generates resources, which in turn, drive non-cooperative competition to secure individual shares. How this complex interplay between cooperation…

物理与社会 · 物理学 2025-09-03 Wenqiang Zhu , Xin Wang , Chaoqian Wang , Weijie Xing , Longzhao Liu , Hongwei Zheng , Jingwu Zhao , Shaoting Tang