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We model a system of networking agents that seek to optimize their centrality in the network while keeping their cost, the number of connections they are participating in, low. Unlike other game-theory based models for network evolution,…

Populations and Evolution · Quantitative Biology 2007-05-23 Petter Holme , Gourab Ghoshal

We study Nowak and May's spatial prisoners' dilemma game driven by mutations (random choices of suboptimal strategies) on empirical social networks. The time evolution of the cooperation level is highly complex containing spikes and steps…

Disordered Systems and Neural Networks · Physics 2007-05-23 Petter Holme , Ala Trusina , Beom Jun Kim , Petter Minnhagen

Situations of conflict giving rise to social dilemmas are widespread in society and game theory is one major way in which they can be investigated. Starting from the observation that individuals in society interact through networks of…

Physics and Society · Physics 2010-11-24 Enea Pestelacci , Marco Tomassini , Leslie Luthi

We present a detailed study of prisoner's dilemma game with stochastic modifications on a two-dimensional lattice, in presence of evolutionary dynamics. By very nature of the rules, the cooperators have incentive to cheat and the fear to…

Statistical Mechanics · Physics 2015-05-14 M. Ali Saif , Prashant M. Gade

Oscillatory behaviors are ubiquitous in nature and the human society. However, most previous works fail to reproduce them in the two-strategy game-theoretical models. Here we show that oscillatory behaviors naturally emerge if incomplete…

Populations and Evolution · Quantitative Biology 2023-06-27 Jing Zhang , Zhao Li , Jiqiang Zhang , Lin Ma , Guozhong Zheng , Li Chen

In the evolutionary Prisoner's Dilemma (PD) game, agents play with each other and update their strategies in every generation according to some microscopic dynamical rule. In its spatial version, agents do not play with every other but,…

Populations and Evolution · Quantitative Biology 2009-03-08 Luis G. Moyano , Angel Sánchez

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…

Physics and Society · Physics 2010-09-21 Attila Szolnoki , Zhen Wang , Jinlong Wang , Xiaodan Zhu

Networks determine our social circles and the way we cooperate with others. We know that topological features like hubs and degree assortativity affect cooperation, and we know that cooperation is favoured if the benefit of the altruistic…

Physics and Society · Physics 2021-10-04 A. Zhuk , I. Sendiña-Nadal , I. Leyva , D. Musatov , A. M. Raigorodskii , M. Perc , S. Boccaletti

Prisoner's Dilemma is a game theory model used to describe altruistic behavior seen in various populations. This theoretical game is important in understanding why a seemingly selfish strategy does persist and spread throughout a population…

Physics and Society · Physics 2020-04-16 Sharon M. Cameron , Ariel Cintrón-Arias

In this Letter, we study how cooperation is organized in complex topologies by analyzing the evolutionary (replicator) dynamics of the Prisoner's Dilemma, a two-players game with two available strategies, defection and cooperation, whose…

Physics and Society · Physics 2007-05-23 J. Gomez-Gardenes , M. Campillo , L. M. Floria , Y. Moreno

Governments and enterprises strongly rely on incentives to generate favorable outcomes from social and strategic interactions between individuals. The incentives are usually modeled by payoffs in evolutionary games, such as the prisoner's…

Physics and Society · Physics 2018-05-14 Kaj-Kolja Kleineberg , Dirk Helbing

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

It is well-known that acting in an individually rational manner, according to the principles of classical game theory, may lead to sub-optimal solutions in a class of problems named social dilemmas. In contrast, humans generally do not have…

Computer Science and Game Theory · Computer Science 2014-01-16 Steven de Jong , Simon Uyttendaele , Karl Tuyls

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…

Populations and Evolution · Quantitative Biology 2009-11-13 Vasils Hatzopoulos , Henrik Jeldtoft Jensen

The iterated prisoner's dilemma is a game that produces many counter-intuitive and complex behaviors in a social environment, based on very simple basic rules. It illustrates that cooperation can be a good thing even in a competitive world,…

Computer Science and Game Theory · Computer Science 2020-09-07 Robert Prentner

We study the effect of contingent movement on the persistence of cooperation on complex networks with empty nodes. Each agent plays Prisoner's Dilemma game with its neighbors and then it either updates the strategy depending on the payoff…

Populations and Evolution · Quantitative Biology 2018-04-18 Genki Ichinose , Yoshiki Satotani , Takashi Nagatani

We study an evolutionary version of the Prisoner's Dilemma game, played by agents placed in a small-world network. Agents are able to change their strategy, imitating that of the most successful neighbor. We observe that different…

Adaptation and Self-Organizing Systems · Physics 2009-10-31 Guillermo Abramson , Marcelo Kuperman

Game theory is fundamental to understanding cooperation between agents. Mainly, the Prisoner's Dilemma is a well-known model that has been extensively studied in complex networks. However, although the emergence of cooperation has been…

Physics and Society · Physics 2023-01-04 Nastaran Lotfi , Francisco A. Rodrigues

We introduce the stochastic Network-Iterated Prisoner's Dilemma (NIPD) model, a network of players playing the Prisoner's Dilemma with their neighbours, each with a memory-one strategy which they constantly and locally update to improve…

Physics and Society · Physics 2022-11-30 Martín Soto Quintanilla

Cooperation is a difficult proposition in the face of Darwinian selection. Those that defect have an evolutionary advantage over cooperators who should therefore die out. However, spatial structure enables cooperators to survive through the…

Physics and Society · Physics 2018-02-02 Attila Szolnoki , Matjaz Perc