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We introduce an analytical model to study the evolution towards equilibrium in spatial games, with `memory-aware' agents, i.e., agents that accumulate their payoff over time. In particular, we focus our attention on the spatial Prisoner's…

Physics and Society · Physics 2016-03-23 Marco Alberto Javarone

We present a game-theoretic model for the spread of deviant behavior in online social networks. We utilize a two-strategy framework wherein each player's behavior is classified as normal or deviant and evolves according to the…

Computer Science and Game Theory · Computer Science 2014-08-19 Sarah Rajtmajer , Christopher Griffin , Derek Mikesell , Anna Squicciarini

We study the evolution of cooperation in populations where individuals play prisoner's dilemma on a network. Every node of the network corresponds on an individual choosing whether to cooperate or defect in a repeated game. The players…

Social and Information Networks · Computer Science 2011-02-08 Vahideh H. Manshadi , Amin Saberi

Mutual relationships, such as cooperation and exploitation, are the basis of human and other biological societies. The foundations of these relationships are rooted in the decision making of individuals, and whether they choose to be…

Optimization and Control · Mathematics 2021-09-29 Yuma Fujimoto , Kunihiko Kaneko

The game interactions among individuals in nature are often uncertain and dynamically evolving, significantly influencing the persistence of cooperation. However, it remains a formidable challenge to effectively characterize these dynamic…

Computer Science and Game Theory · Computer Science 2026-03-24 Bin Pi , Minyu Feng , Liang-Jian Deng , Xiaojie Chen , Attila Szolnoki

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,…

Disordered Systems and Neural Networks · Physics 2009-11-07 Holger Ebel , Stefan Bornholdt

Evolutionary game theory, encompassing discrete, continuous, and mixed strategies, is pivotal for understanding cooperation dynamics. Discrete strategies involve deterministic actions with a fixed probability of one, whereas continuous…

Populations and Evolution · Quantitative Biology 2024-09-13 Zehua Si , Zhixue He , Chen Shen , Jun Tanimoto

Cooperation lies at the foundations of human societies, yet why people cooperate remains a conundrum. The issue, known as network reciprocity, of whether population structure can foster cooperative behavior in social dilemmas has been…

Physics and Society · Physics 2016-09-23 Giulio Cimini , Angel Sánchez

Recent developments of eco-evolutionary models have shown that evolving feedbacks between behavioral strategies and the environment of game interactions, leading to changes in the underlying payoff matrix, can impact the underlying…

Physics and Society · Physics 2024-06-10 Katherine Betz , Feng Fu , Naoki Masuda

Ecology and evolution are inherently linked, and studying a mathematical model that considers both holds promise of insightful discoveries related to the dynamics of cooperation. In the present article, we use the prisoner's dilemma (PD)…

Populations and Evolution · Quantitative Biology 2021-08-10 Sayantan Nag Chowdhury , Srilena Kundu , Jeet Banerjee , Matjaž Perc , Dibakar Ghosh

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

Game theory formalizes certain interactions between physical particles or between living beings in biology, sociology, and economics, and quantifies the outcomes by payoffs. The prisoner's dilemma (PD) describes situations in which it is…

Physics and Society · Physics 2015-05-13 Dirk Helbing , Sergi Lozano

This paper deals with modeling of network's dynamic using evolutionary games approach. Today there are many different protocols for data transmission through the Internet, providing users with better or worse service. The process of…

Computer Science and Game Theory · Computer Science 2017-08-02 Oleksii Ignatenko , Oleksandr Synetskyi

Individual cooperative strategy influences the surrounding dynamic population, which in turn affects cooperative strategy. To better model this phenomenon, we develop a Markov decision chain based game transitions model and examine the…

Physics and Society · Physics 2025-12-30 Chaoyang Luo , Yuji Zhang , Minyu Feng , Attila Szolnoki

We consider a group of agents on a graph who repeatedly play the prisoner's dilemma game against their neighbors. The players adapt their actions to the past behavior of their opponents by applying the win-stay lose-shift strategy. On a…

Probability · Mathematics 2007-05-23 Elchanan Mossel , Sebastien Roch

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

During the last few years, much research has been devoted to strategic interactions on complex networks. In this context, the Prisoner's Dilemma has become a paradigmatic model, and it has been established that imitative evolutionary…

Physics and Society · Physics 2015-02-18 Carlos Gracia-Lazaro , Jose A. Cuesta , Angel Sanchez , 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…

Statistical Mechanics · Physics 2007-05-23 Frank Schweitzer , Laxmidhar Behera , Heinz Muehlenbein

According to the standard imitation protocol, a less successful player adopts the strategy of the more successful one faithfully for future success. This is the cornerstone of evolutionary game theory that explores the vitality of competing…

Physics and Society · Physics 2019-09-27 Attila Szolnoki , Xiaojie Chen

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
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