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Environmental feedback mechanisms are ubiquitous in real-world complex systems. In this study, we incorporate a homogeneous environment into the evolutionary dynamics of a three-state system comprising cooperators, defectors, and empty…

Adaptation and Self-Organizing Systems · Physics 2025-10-10 Yi-Duo Chen , Zhi-Xi Wu , Jian-Yue Guan

We studied spatial Prisoner's Dilemma and Stag Hunt games where both the strategy distribution and the players' individual noise level could evolve to reach higher individual payoff. Players are located on the sites of different…

Physics and Society · Physics 2009-11-24 Attila Szolnoki , Jeromos Vukov , Gyorgy Szabo

Dynamics of evolutionary games strongly depend on underlying networks. We study the coevolutionary prisoner's dilemma in which players change their local networks as well as strategies (i.e., cooperate or defect). This topic has been…

Physics and Society · Physics 2011-01-25 Yoshimi Yoshino , Naoki Masuda

We consider the coupled dynamics of the adaption of network structure and the evolution of strategies played by individuals occupying the network vertices. We propose a computational model in which each agent plays a $n$-round Prisoner's…

Physics and Society · Physics 2007-11-05 Feng Fu , Xiaojie Chen , Lianghuan Liu , Long Wang

Synchronization, cooperation, and chaos are ubiquitous phenomena in nature. In a population composed of many distinct groups of individuals playing the prisoner's dilemma game, there exists a migration dilemma: No cooperator would migrate…

Populations and Evolution · Quantitative Biology 2021-02-22 Shubhadeep Sadhukhan , Rohitashwa Chattopadhyay , Sagar Chakraborty

Evolutionary prisoner's dilemma games are studied with players located on square lattice and random regular graphs defining four neighbors for each one. The players follow one of the three strategies: tit-for-tat, unconditional cooperation,…

Physics and Society · Physics 2009-11-13 Attila Szolnoki , Matjaz Perc , Gyorgy Szabo

In repeated interactions between individuals, we do not expect that exactly the same situation will occur from one time to another. Contrary to what is common in models of repeated games in the literature, most real situations may differ a…

Populations and Evolution · Quantitative Biology 2007-05-23 Anders Eriksson , Kristian Lindgren

Evolutionary game theory offers a general framework to study how behaviors evolve by social learning in a population. This body of theory can accommodate a range of social dilemmas, or games, as well as real-world complexities such as…

Physics and Society · Physics 2025-10-08 Guocheng Wang , Qi Su , Long Wang , Joshua B. Plotkin

The perceived risk and reward for a given situation can vary depending on resource availability, accumulated wealth, and other extrinsic factors such as individual backgrounds. Based on this general aspect of everyday life, here we use…

Statistical Mechanics · Physics 2021-12-07 Marco A. Amaral , Marcelo M. de Oliveira

Competition among cooperators, defectors, and loners is studied in an evolutionary prisoner's dilemma game with optional participation. Loners are risk averse i.e. unwilling to participate and rather rely on small but fixed earnings. This…

Disordered Systems and Neural Networks · Physics 2009-11-07 Gyorgy Szabo , Christoph Hauert

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…

Physics and Society · Physics 2015-09-23 Han-Xin Yang , Zhi-Xi Wu , Zhihai Rong , Ying-Cheng Lai

Previous studies suggest that punishment is a useful way to promote cooperation in the well-mixed public goods game, whereas it still lacks specific evidence that punishment maintains cooperation in spatial prisoner's dilemma game as well.…

Physics and Society · Physics 2011-03-08 Qing Jin , Zhen Wang , Zhen Wang , Yi-Ling Wang

We propose a simple model for the origin of pink noise (or 1/f fluctuation) based on the beat of cooperative waves. These cooperative waves arise spontaneously in a system with synchronization, resonance, and infrared divergence. Many…

Audio and Speech Processing · Electrical Eng. & Systems 2023-01-27 Masahiro Morikawa , Akika Nakamichi

Costly cooperation and costly signaling are both difficult to reconcile with simple fitness maximization, yet both are common in biological and social systems. We study a model in which agents emit costly signals and condition their actions…

Physics and Society · Physics 2026-05-14 Mahdi Abolhasani , Saman Moghimi-Araghi , Mohammad Salahshour

Pink noise, characterized by a power spectral density $S(\omega)\propto\omega^{\beta}$ with $\beta\simeq -1$, appears in economic indices as well as in many natural systems. We summarize a unified mesoscopic interpretation in which pink…

Adaptation and Self-Organizing Systems · Physics 2026-05-19 Masahiro Morikawa , Yokoh Morikawa , Akika Nakamichi

Exploiting others is beneficial individually but it could also be detrimental globally. The reverse is also true: a higher cooperation level may change the environment in a way that is beneficial for all competitors. To explore the possible…

Physics and Society · Physics 2018-02-23 Attila Szolnoki , Xiaojie Chen

Evolution of cooperation in the prisoner's dilemma game is studied where initially all players are linked via a regular graph, having four neighbors each. Simultaneously with the strategy evolution, players are allowed to make new…

Physics and Society · Physics 2009-03-27 Attila Szolnoki , Matjaz Perc , Zsuzsa Danku

We discuss a model for evolutionary game dynamics in a growing, network-structured population. In our model, new players can either make connections to random preexisting players or preferentially attach to those that have been successful…

Physics and Society · Physics 2015-05-13 J. Poncela , J. Gomez-Gardenes , A. Traulsen , Y. Moreno

An evolutionary prisoner's dilemma (PD) game is studied with players located on a hierarchical structure of layered square lattices. The players can follow two strategies [D (defector) and C (cooperator)] and their income comes from PD…

Statistical Mechanics · Physics 2009-11-10 Jeromos Vukov , Gyorgy Szabo

We study a spatial two-strategy (cooperation and defection) Prisoner's Dilemma game with two types ($A$ and $B$) of players located on the sites of a square lattice. The evolution of strategy distribution is governed by iterated strategy…

Physics and Society · Physics 2009-01-15 Gyorgy Szabo , Attila Szolnoki