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Cooperative behavior is widespread in nature, even though cooperating individuals always run the risk to be exploited by free-riders. Population structure effectively promotes cooperation given that a threshold in the level of cooperation…

Populations and Evolution · Quantitative Biology 2015-06-16 Anna Melbinger , Jonas Cremer , Erwin Frey

We study the evolution of cooperation in the evolutionary spatial prisoner's dilemma game (PDG) and snowdrift game (SG), within which a fraction $\alpha$ of the payoffs of each player gained from direct game interactions is shared equally…

Physics and Society · Physics 2014-01-13 Zhi-Xi Wu , Han-Xin Yang

We explore the evolution of cooperation in the framework of the evolutionary game theory using the prisoner's dilemma as metaphor of the problem. We present a minimal model taking into account the growing process of the systems and…

Computer Science and Game Theory · Computer Science 2015-06-03 Ignacio Gomez Portillo

Cooperation in an open dynamic system fundamentally depends upon information distributed across its components. Yet in an environment with rapidly enlarging complexity, this information may need to change adaptively to enable not only…

Physics and Society · Physics 2021-04-06 Wonhee Jeong , Tarik Hadzibeganovic , Unjong Yu

We study the evolutionary Prisoner's Dilemma game on scale-free networks for different initial distributions. We consider three types of initial distributions for cooperators and defectors: initially random distribution with different…

Physics and Society · Physics 2007-11-04 Xiaojie Chen , Feng Fu , Long Wang

Migration is a fundamental trait in humans and animals. Recent studies investigated the effect of migration on the evolution of cooperation, showing that contingent migration favors cooperation in spatial structures. In those studies, only…

Populations and Evolution · Quantitative Biology 2013-11-05 Genki Ichinose , Masaya Saito , Hiroki Sayama , David Sloan Wilson

The Prisoner's Dilemma Process on a graph $G$ is an iterative process where each vertex, with a fixed strategy (cooperate or defect), plays the game with each of its neighbours. At the end of a round each vertex may change its strategy to…

Discrete Mathematics · Computer Science 2017-11-22 Christopher Duffy , Jeannette Janssen

Anonymous online business environments have a social dilemma situation in it. A dilemma on whether to cooperate or Defect. Defection by a buyer to seller and/or seller to buyer might give each a better profit at the cost of the loss of…

Computer Science and Game Theory · Computer Science 2013-05-15 Sanat Kumar Bista , Keshav P. Dahal , Peter I. Cowling , Bhadra Man Tuladhar

This online supplement mainly presents the details of empirical investigations of so-called "cooperation sharing" distributions in 12 real world cooperation-competition systems, which will be used for building an evolution model that will…

Physics and Society · Physics 2011-05-20 Xiulian Xu , Shengrong Zou , Chunhua Fu , Hui Chang , Daren He

The Prisoner's Dilemma (PD) game is used in several fields due to the emergence of cooperation among selfish players. Here, we have considered a one-dimensional lattice, where each cell represents a player, that can cooperate or defect.…

Physics and Society · Physics 2009-04-03 Marcelo Alves Pereira , Alexandre Souto Martinez

Cooperative behavior among unrelated individuals in human and animal societies represents a most intriguing puzzle to scientists in various disciplines. Here we present a simple yet effective mechanism promoting cooperation under full…

Condensed Matter · Physics 2009-11-07 Gyorgy Szabo , Christoph Hauert

We propose a conformity-driven reproductive ability in which an individual $i$ is more (less) likely to imitate a neighbor $j$'s strategy if $j$'s strategy is majority (minority) in $i$'s neighborhood. The results on the evolutionary…

Physics and Society · Physics 2018-02-14 Han-Xin Yang , Lijun Tian

Cooperation is central to the organization of complex biological and social systems. Most theoretical models assume homogeneous environments; in reality, populations inhabit spatially varying landscapes in which the payoffs of cooperation…

Populations and Evolution · Quantitative Biology 2026-04-15 Amir Kargaran , Kamran Kaveh , Krishnendu Chatterjee

The Prisoner's Dilemma (PD) deals with the cooperation/defection conflict between two agents. The agents are represented by a cell of $L \times L$ square lattice. The agents are initially randomly distributed according to a certain…

Statistical Mechanics · Physics 2007-05-23 Ricardo Oliveira dos Santos Soares , Alexandre Souto Martinez

Cooperation among individuals has been key to sustaining societies. However, natural selection favors defection over cooperation. Cooperation can be favored when the mobility of individuals allows cooperators to form a cluster (or group).…

Populations and Evolution · Quantitative Biology 2022-07-21 Genki Ichinose , Daiki Miyagawa , Erika Chiba , Hiroki Sayama

We study the evolution of behavior under reinforcement learning in a Prisoner's Dilemma where agents interact in a regular network and can learn about whether they play one-shot or repeatedly by incurring a cost of deliberation. With…

Physics and Society · Physics 2024-03-28 Rossana Mastrandrea , Leonardo Boncinelli , Ennio Bilancini

Spatial evolutionary games provide a valuable framework for elucidating the emergence and maintenance of cooperative behavior. However, most previous studies assume that individuals are profiteers and neglect to consider the effects of…

Computer Science and Game Theory · Computer Science 2025-11-25 Bin Pi , Minyu Feng , Liang-Jian Deng

We address the problem of how the survival of cooperation in a social system depends on the motion of the individuals. Specifically, we study a model in which Prisoner's Dilemma players are allowed to move in a two-dimensional plane. Our…

Physics and Society · Physics 2015-05-13 S. Meloni , A. Buscarino , L. Fortuna , M. Frasca , J. Gomez-Gardenes , V. Latora , Y. Moreno

Extortion strategies can dominate any opponent in an iterated prisoner's dilemma game. But if players are able to adopt the strategies performing better, extortion becomes widespread and evolutionary unstable. It may sometimes act as a…

Physics and Society · Physics 2014-02-17 Attila Szolnoki , Matjaz Perc

Although the cooperative dynamics emerging from a network of interacting players has been exhaustively investigated, it is not yet fully understood when and how network reciprocity drives cooperation transitions. In this work, we…

Adaptation and Self-Organizing Systems · Physics 2023-05-17 Nagi Khalil , I. Leyva , J. A. Almendral , I. Sendiña-Nadal
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