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We present a collaboration ring model -- a network of players playing the prisoner's dilemma game and collaborating among the nearest neighbours by forming coalitions. The microscopic stochastic updating of the players' strategies are…

Physics and Society · Physics 2026-02-13 Joy Das Bairagya , Jonathan Newton , Sagar Chakraborty

We study a condition of favoring cooperation in a Prisoner's Dilemma game on complex networks. There are two kinds of players: cooperators and defectors. Cooperators pay a benefit b to their neighbors at a cost c, whereas defectors only…

Physics and Society · Physics 2019-11-20 Tomohiko Konno

Reputation plays a major role in human societies, and it has been proposed as an explanation for the evolution of cooperation. While the majority of previous studies equates reputation with a transparent and complete history of players'…

Physics and Society · Physics 2025-08-20 Valerio Capraro , Francesca Giardini , Daniele Vilone , Mario Paolucci

Tolerance implies enduring trying circumstances with a fair and objective attitude. To determine whether evolutionary advantages might be stemming from diverse levels of tolerance in a population, we study a spatial public goods game, where…

Physics and Society · Physics 2016-08-04 Attila Szolnoki , Matjaz Perc

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

A cooperative player invests effort into a common venture without knowing the partner's intention in advance. But this strategy can be implemented in various ways when a player is involved in different games simultaneously. Interestingly,…

Physics and Society · Physics 2021-07-14 Hsuan-Wei Lee , Colin Cleveland , Attila Szolnoki

Properties of cooperation's probability function in Prisoner`s Dilemma have impact on evolution of game. Basic model defines that probability of cooperation depends linearly, both on the player's altruism and the co-player's reputation. I…

Physics and Society · Physics 2016-08-23 Andrzej Jarynowski

Cooperative behaviors are common in humans and are fundamental to our society. Theoretical and experimental studies have modeled environments in which the behaviors of humans, or agents, have been restricted to analyze their social…

Social and Information Networks · Computer Science 2016-11-10 Masanori Takano , Kazuya Wada , Ichiro Fukuda

In a social dilemma situation, where individual and collective interests are in conflict, it sounds a reasonable assumption that the presence of super or smart players, who simultaneously punish defection and reward cooperation without…

Physics and Society · Physics 2024-06-03 Hsuan-Wei Lee , Colin Cleveland , Attila Szolnoki

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

Cooperative dynamics are central to our understanding of many phenomena in living and complex systems. However, we lack a universal mechanism to explain the emergence of cooperation. We present a novel framework for modelling social dilemma…

Physics and Society · Physics 2025-02-27 Jay Armas , Wout Merbis , Janusz Meylahn , Soroush Rafiee Rad , Mauricio J. del Razo

Cooperation is usually represented as a Prisoner's Dilemma game. Although individual self-interest may not favour cooperation, cooperation can evolve if, for example, players interact multiple times adjusting their behaviour accordingly to…

Physics and Society · Physics 2015-04-29 Elton J. S. Júnior , Lucas Wardil , Jafferson K. L. da Silva

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

An analysis of several important aspects of competition or conflict in games, social choice and decision theory is presented. Inherent difficulties and complexities in cooperation are highlighted. These have over the years led to a certain…

Optimization and Control · Mathematics 2007-05-23 Elemér E Rosinger

Cooperation in repeated public goods game is hardly achieved, unless contingent behavior is present. Surely, if mechanisms promoting positive assortment between cooperators are present, then cooperators may beat defectors, because…

Physics and Society · Physics 2020-06-24 Lucas Wardil , Marco A. Amaral

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

We explore the minimal conditions for sustainable cooperation on a spatially distributed population of memoryless, unconditional strategies (cooperators and defectors) in presence of unbiased, non contingent mobility in the context of the…

Populations and Evolution · Quantitative Biology 2007-05-23 Mendeli H. Vainstein , Ana Tereza Costa Silva , Jeferson J. Arenzon

In this paper, the Optional Prisoner's Dilemma game in a spatial environment, with coevolutionary rules for both the strategy and network links between agents, is studied. Using a Monte Carlo simulation approach, a number of experiments are…

Neural and Evolutionary Computing · Computer Science 2017-12-04 Marcos Cardinot , Colm O'Riordan , Josephine Griffith

The transitivity of preferences is one of the basic assumptions used in the theory of games and decisions. It is often equated with rationality of choice and is considered useful in building rankings. Intransitive preferences are considered…

Quantum Physics · Physics 2015-06-23 Marcin Makowski , Edward W. Piotrowski , Jan Sładkowski

We consider a scenario in which two reinforcement learning agents repeatedly play a matrix game against each other and update their parameters after each round. The agents' decision-making is transparent to each other, which allows each…

Artificial Intelligence · Computer Science 2021-08-23 Adrian Hutter