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We revisit two evolutionary game theory models, namely the Prisoner and the Snowdrift dilemmas, on top of small-world networks. These dynamics on networked populations (individuals occupying nodes of a graph) are mainly concerning on the…

In this paper we study collective decision making on a multi-population, represented by a regular network of groups of individuals. Each group consists of a collection of players and every player can choose between two options. A group is…

最优化与控制 · 数学 2020-11-18 Wouter Baar , Dario Bauso

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

Complex networks have been applied to model numerous interactive nonlinear systems in the real world. Knowledge about network topology is crucial for understanding the function, performance and evolution of complex systems. In the last few…

物理与社会 · 物理学 2009-11-13 Jing Zhao , Lin Tao , Hong Yu , Jian-Hua Luo , Zhi-Wei Cao , Yi-Xue Li

Evolutionary game theory is a common framework to study the evolution of cooperation, where it is usually assumed that the same game is played in all interactions. Here, we investigate a model where the game that is played by two…

物理与社会 · 物理学 2015-10-21 Marco A. Amaral , Jafferson K. L. da Silva , Lucas Wardil

We consider a broad class of stochastic imitation dynamics over networks, encompassing several well known learning models such as the replicator dynamics. In the considered models, players have no global information about the game…

系统与控制 · 计算机科学 2021-03-02 Lorenzo Zino , Giacomo Como , Fabio Fagnani

We study how expanding the scope for selecting game and learning (adaptation) partners affects the evolution of cooperation in public goods games on scale-free networks. We show the following three results. (i) Expanding the scope for…

物理与社会 · 物理学 2024-01-17 Masaaki Inaba , Eizo Akiyama

Systems composed of distinct complex networks are present in many real-world environments, from society to ecological systems. In the present paper, we propose a network model obtained as a consequence of interactions between two species…

生物物理 · 物理学 2007-08-08 Luis Enrique Correa da Rocha , Luciano da Fontoura Costa

Evolutionary graph theory is a well established framework for modelling the evolution of social behaviours in structured populations. An emerging consensus in this field is that graphs that exhibit heterogeneity in the number of connections…

种群与进化 · 定量生物学 2018-11-20 Wes Maciejewski , Feng Fu , Christoph Hauert

Purpose: We propose a model to present a possible mechanism for obtaining sizeable behavioural structures by simulating an agent based on the evolutionary public good game with available social learning. Methods: The model considered a…

计算机科学与博弈论 · 计算机科学 2019-10-29 Chulwook Park

Synergies between evolutionary game theory and statistical physics have significantly improved our understanding of public cooperation in structured populations. Multiplex networks, in particular, provide the theoretical framework within…

物理与社会 · 物理学 2017-07-13 Federico Battiston , Matjaz Perc , Vito Latora

Evolutionary game theory is a powerful framework for studying evolution in populations of interacting individuals. A common assumption in evolutionary game theory is that interactions are symmetric, which means that the players are…

种群与进化 · 定量生物学 2016-05-04 Alex McAvoy , Christoph Hauert

We study agents on a network playing an iterated Prisoner's dilemma against their neighbors. The resulting spatially extended co-evolutionary game exhibits stationary states which are Nash equilibria. After perturbation of these equilibria,…

无序系统与神经网络 · 物理学 2009-11-07 Holger Ebel , Stefan Bornholdt

Given a large population of players, each player has three possible choices between option 1 or 2 or no option. The two options are equally favorable and the population has to reach consensus on one of the two options quickly and in a…

系统与控制 · 计算机科学 2017-06-06 Leonardo Stella , Dario Bauso

We explore the evolutionary dynamics of two games - the Prisoner's Dilemma and the Snowdrift Game - played within distinct networks (layers) of interdependent networks. In these networks imitation and interaction between individuals of…

物理与社会 · 物理学 2014-04-10 M. D. Santos , S. N. Dorogovtsev , J. F. F. Mendes

The Prisoner's Dilemma, a 2-person game in which the players can either cooperate or defect, is a common paradigm for studying the evolution of cooperation, when individuals exhibit variable degrees of cooperation. It is known that in the…

种群与进化 · 定量生物学 2014-03-12 Margarita Ifti , Timothy Killingback , Michael Doebeli

We study an evolutionary prisoner's dilemma game with two layered graphs, where the lower layer is the physical infrastructure on which the interactions are taking place and the upper layer represents the connections for the strategy…

物理与社会 · 物理学 2009-11-13 Zhi-Xi Wu , Ying-Hai Wang

Game theory research on the snowdrift game has showed that gradual evolution of the continuously varying level of cooperation in joint enterprises can demonstrate evolutionary merging as well as evolutionary branching. However, little is…

物理与社会 · 物理学 2016-12-30 Tatsuya Sasaki

Here we introduce a model in which individuals differ in the rate at which they seek new interactions with others, making rational decisions modeled as general symmetric two-player games. Once a link between two individuals has formed, the…

种群与进化 · 定量生物学 2007-05-23 Jorge M. Pacheco , Arne Traulsen , Martin A. Nowak

Evolutionary models are used to study the self-organisation of collective action, often incorporating population structure due to its ubiquitous presence and long-known impact on emerging phenomena. We investigate the evolution of…

种群与进化 · 定量生物学 2023-04-20 Diogo L. Pires , Igor Erovenko , Mark Broom