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Multiple species in the ecosystem are believed to compete cyclically for survival and thus maintain balance in nature. Stochasticity has also an inevitable role in this dynamics. Considering these attributes of nature, the stochastic…

种群与进化 · 定量生物学 2020-08-05 Sirshendu Bhattacharyya , Pritam Sinha , Rina De , Chittaranjan Hens

A simple cellular automata model for a two-group war over the same territory is presented. It is shown that a qualitative advantage is not enough for a minority to win. A spatial organization as well a definite degree of aggressiveness are…

无序系统与神经网络 · 物理学 2016-08-31 Serge Galam , Bastien Chopard , Alexander Masselot , Michel Droz

Dynamical mechanisms that can stabilize the coexistence or diversity in biology are generally of fundamental interest. In contrast to many two-strategy evolutionary games, games with three strategies and cyclic dominance like the…

种群与进化 · 定量生物学 2010-03-15 Markus Schütt , Jens Christian Claussen

In this paper, the Optional Prisoner's Dilemma game in a spatial environment, with coevolutionary rules for both the strategy and network links between agents, is studied. Using a Monte Carlo simulation approach, a number of experiments are…

神经与进化计算 · 计算机科学 2017-12-04 Marcos Cardinot , Colm O'Riordan , Josephine Griffith

The predominant paradigm in evolutionary game theory and more generally online learning in games is based on a clear distinction between a population of dynamic agents that interact given a fixed, static game. In this paper, we move away…

计算机科学与博弈论 · 计算机科学 2020-12-16 Stratis Skoulakis , Tanner Fiez , Ryann Sim , Georgios Piliouras , Lillian Ratliff

In real-life complex systems, individuals often encounter multiple social dilemmas that cannot be effectively captured using a single-game model. Furthermore, the environment and limited resources both play a crucial role in shaping…

物理与社会 · 物理学 2025-04-15 Chengbin Sun , Alfonso de Miguel-Arribas , Chaoqian Wang , Haoxiang Xia , Yamir Moreno

We investigate the spatial distribution and the global frequency of agents who can either cooperate or defect. The agent interaction is described by a deterministic, non-iterated prisoner's dilemma game, further each agent only locally…

统计力学 · 物理学 2007-05-23 Frank Schweitzer , Laxmidhar Behera , Heinz Muehlenbein

The efficiency of institutionalized punishment is studied by evaluating the stationary states in the spatial public goods game comprising unconditional defectors, cooperators, and cooperating pool-punishers as the three competing…

物理与社会 · 物理学 2011-03-08 Attila Szolnoki , Gyorgy Szabo , Matjaz Perc

Reaction-diffusion analytical modeling of predator-prey systems has shown that specialist natural enemies can slow, stop and even reverse pest invasions, assuming that the prey population displays a strong Allee effect in its growth. Few…

偏微分方程分析 · 数学 2016-07-07 Sten Madec , Jérôme Casas , Guy Barles , Christelle Suppo

We have generalized our ``unified'' model of evolutionary ecology by taking into account the possible movements of the organisms from one ``patch'' to another within the same eco-system. We model the spatial extension of the eco-system…

种群与进化 · 定量生物学 2009-11-10 Dietrich Stauffer , Ambarish Kunwar , Debashish Chowdhury

Cyclic dominance of species has been identified as a potential mechanism to maintain biodiversity, see e.g. B. Kerr, M. A. Riley, M. W. Feldman and B. J. M. Bohannan [Nature {\bf 418}, 171 (2002)] and B. Kirkup and M. A. Riley [Nature {\bf…

种群与进化 · 定量生物学 2007-05-23 Tobias Reichenbach , Mauro Mobilia , Erwin Frey

Cooperative behaviors are deeply embedded in structured biological and social systems. Networks are often employed to portray pairwise interactions among individuals, where network nodes represent individuals and links indicate who…

物理与社会 · 物理学 2025-01-14 Jiachao Guo , Yao Meng , Aming Li

Evolutionary game theory has provided substantial contributions to explain the emergence of cooperation under unfavourable conditions in ecology, economics, and the social sciences. Recently, inspired by newly available empirical evidence…

物理与社会 · 物理学 2026-04-09 Jaume Llabrés , Onkar Sadekar , Federico Malizia , Federico Battiston

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

Many socio-economic and biological processes can be modeled as systems of interacting individuals. The behaviour of such systems can be often described within game-theoretic models. In these lecture notes, we introduce fundamental concepts…

种群与进化 · 定量生物学 2013-05-30 Jacek Miekisz

A major problem in evolutionary biology is how species learn and adapt under the constraint of environmental conditions and competition of other species. Models of cyclic dominance provide simplified settings in which such questions can be…

统计力学 · 物理学 2025-04-09 Honghao Yu , Robert L. Jack

We adapt a fitness function from evolutionary game theory as a mechanism for aggregation and dispersal in a partial differential equation (PDE) model of two interacting populations, described by density functions $u$ and $v$. We consider a…

种群与进化 · 定量生物学 2018-03-16 Russ deForest , Andrew Belmonte

We model a situation in which a collection of species derive their fitnesses via a rock-paper-scissors-type game; however, the precise payoffs are a function of the environment. The new aspect of our model lies in adding a feedback loop:…

动力系统 · 数学 2017-11-01 Tung Mai , Ioannis Panageas , Will Ratcliff , Vijay V. Vazirani , Peter Yunker

When group members claim a portion of limited resources, it is tempting to invest more effort to get a larger share. However, if everyone acts similarly, they all get the same piece they would obtain without extra effort. This is the…

物理与社会 · 物理学 2022-06-15 Chaoqian Wang , Attila Szolnoki

Continuously changing environments have a paramount role in the evolution of cooperative behavior. Previous works have shown that the transitions among different games, as the feedback between behaviors and environments, can promote…

物理与社会 · 物理学 2026-03-25 Yuji Zhang , Minyu Feng , Qin Li , Matjaz Perc , Attila Szolnoki