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In this paper we address the cooperation problem in structured populations by considering the prisoner's dilemma game as metaphor of the social interactions between individuals with imitation capacity. We present a new strategy update rule…

Computer Science and Game Theory · Computer Science 2013-03-19 Ignacio Gomez Portillo

We investigate the evolutionary prisoner's dilemma game in structured populations by introducing dimers, which are defined as that two players in each dimer always hold a same strategy. We find that influences of dimers on cooperation…

Physics and Society · Physics 2015-05-30 Haihong Li , Hongyan Cheng , Qionglin Dai , Ping Ju , Mei Zhang , Junzhong Yang

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

Various theoretical and empirical studies have accounted for why humans cooperate in competitive environments. Although prior work has revealed that network structure and multiplex interactions can promote cooperation, most theory assumes…

Physics and Society · Physics 2026-01-05 Jnanajyoti Bhaumik , Naoki Masuda

Holding on to one's strategy is natural and common if the later warrants success and satisfaction. This goes against widespread simulation practices of evolutionary games, where players frequently consider changing their strategy even…

Populations and Evolution · Quantitative Biology 2012-05-04 Yongkui Liu , Xiaojie Chen , Lin Zhang , Long Wang , Matjaz Perc

So far, the theory of equilibrium selection in the infinitely repeated prisoner's dilemma is insensitive to communication possibilities. To address this issue, we incorporate the assumption that communication reduces -- but does not…

Theoretical Economics · Economics 2023-04-25 Maximilian Andres

The Iterated Prisoner's Dilemma (IPD) is a well studied framework for understanding direct reciprocity and cooperation in pairwise encounters. However, measuring the morality of various IPD strategies is still largely lacking. Here, we…

Physics and Society · Physics 2023-02-28 Grant Molnar , Caroline Hammond , Feng Fu

We study an evolutionary spatial prisoner's dilemma game where the fitness of the players is determined by both the payoffs from the current interaction and their history. We consider the situation where the selection timescale is slower…

Physics and Society · Physics 2009-09-15 Zhi-Xi Wu , Zhihai Rong , Petter Holme

Recent experimental evidence [Gruji\'c et al., PLoS ONE 5, e13749 (2010)] on the spatial Prisoner's Dilemma suggests that players choosing to cooperate or not on the basis of their previous action and the actions of their neighbors coexist…

Populations and Evolution · Quantitative Biology 2015-02-18 Jelena Grujić , José A. Cuesta , Angel Sánchez

Multiagent systems appear in most social, economical, and political situations. In the present work we extend the Deep Q-Learning Network architecture proposed by Google DeepMind to multiagent environments and investigate how two agents…

Artificial Intelligence · Computer Science 2015-11-30 Ardi Tampuu , Tambet Matiisen , Dorian Kodelja , Ilya Kuzovkin , Kristjan Korjus , Juhan Aru , Jaan Aru , Raul Vicente

In this work we describe a novel deep reinforcement learning architecture that allows multiple actions to be selected at every time-step in an efficient manner. Multi-action policies allow complex behaviours to be learnt that would…

Artificial Intelligence · Computer Science 2018-09-07 Jack Harmer , Linus Gisslén , Jorge del Val , Henrik Holst , Joakim Bergdahl , Tom Olsson , Kristoffer Sjöö , Magnus Nordin

We use replicator dynamics to study an iterated prisoners' dilemma game with memory. In this study, we investigate the characteristics of all 32 possible strategies with a single-step memory by observing the results when each strategy…

Physics and Society · Physics 2014-03-06 Young Jin Kim , Myungkyoon Roh , Seung-Woo Son

Social dilemmas are situations where individuals face a temptation to increase their payoffs at a cost to total welfare. Building artificially intelligent agents that achieve good outcomes in these situations is important because many real…

Artificial Intelligence · Computer Science 2018-03-05 Adam Lerer , Alexander Peysakhovich

The conflict between individual and collective interests is in the heart of every social dilemmas established by evolutionary game theory. We cannot avoid these conflicts but sometimes we may choose which interaction framework to use as a…

Physics and Society · Physics 2021-06-09 Attila Szolnoki , Xiaojie Chen

A modified spatial prisoner's dilemma game with voluntary participation in Newman-Watts small-world networks is studied. Some reasonable ingredients are introduced to the game evolutionary dynamics: each agent in the network is a pure…

Statistical Mechanics · Physics 2009-11-11 Zhi-Xi Wu , Xin-Jian Xu , Yong chen , Ying-Hai Wang

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

It is increasingly important that LLM agents interact effectively and safely with other goal-pursuing agents, yet, recent works report the opposite trend: LLMs with stronger reasoning capabilities behave _less_ cooperatively in mixed-motive…

Computer Science and Game Theory · Computer Science 2026-04-17 Emanuel Tewolde , Xiao Zhang , David Guzman Piedrahita , Vincent Conitzer , Zhijing Jin

Cooperation and competition are fundamental forces shaping both natural and human systems, yet their interplay remains poorly understood. The Prisoner's Dilemma Game (PDG) has long served as a foundational framework in Game Theory for…

Physics and Society · Physics 2025-08-01 Alfonso de Miguel-Arribas , Chengbin Sun , Carlos Gracia-Lázaro , Yamir Moreno

When the interactions between cooperators (C) and defectors (D) can be partially avoided within a population, there may be an overall enhancement of cooperation. One example of such screening mechanism occurs in the presence of risk-averse…

Populations and Evolution · Quantitative Biology 2017-09-20 Gabriel A. Canova , J. J. Arenzon

We study the evolution of cooperation in the prisoner's dilemma game, whereby a coevolutionary rule is introduced that molds the random topology of the interaction network in two ways. First, existing links are deleted whenever a player…

Physics and Society · Physics 2009-09-25 Attila Szolnoki , Matjaz Perc