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As humans perceive and actively engage with the world, we adjust our decisions in response to shifting group dynamics and are influenced by social interactions. This study aims to identify which aspects of interaction affect…

Physics and Society · Physics 2024-12-23 Lucila G. Alvarez-Zuzek , Laura Ferrarotti , Bruno Lepri , Riccardo Gallotti

In many cases the Nash equilibria are not predictive of the experimental players' behaviour. For some games of Game Theory it is proposed here a method to estimate the probabilities with which the different options will be actually chosen…

Optimization and Control · Mathematics 2014-04-10 Cesco Reale

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

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

In the last few decades, numerous experiments have shown that humans do not always behave so as to maximize their material payoff. Cooperative behavior when non-cooperation is a dominant strategy (with respect to the material payoffs) is…

Computer Science and Game Theory · Computer Science 2014-11-05 Valerio Capraro , Joseph Y. Halpern

The prisoner's dilemma (PD) game is a simple model for understanding cooperative patterns in complex systems consisting of selfish individuals. Here, we study a PD game problem in scale-free networks containing hierarchically organized…

Physics and Society · Physics 2015-05-19 C. -K. Yun , N. Masuda , B. Kahng

The prisoner's dilemma has long been considered the paradigm for studying the emergence of cooperation among selfish individuals. Because of its importance, it has been studied through computer experiments as well as in the laboratory and…

chao-dyn · Physics 2009-10-22 Bernardo A. Huberman , Natalie S. Glance

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

This paper characterizes how different incentive instruments shape cooperation in a repeated Prisoner`s Dilemma with a continuum of players. A simple tit-for-tat strategy competes against unconditional defection, and the long-run outcome is…

Theoretical Economics · Economics 2025-11-14 Alexander Kangas

In this work, we ask for and answer what makes classical temporal-difference reinforcement learning with epsilon-greedy strategies cooperative. Cooperating in social dilemma situations is vital for animals, humans, and machines. While…

Machine Learning · Computer Science 2023-02-22 Wolfram Barfuss , Janusz Meylahn

I present the results from a spatial model of the prisoner's dilemma, played on a toroidal lattice. Each individual has a default strategy of either cooperating ($C$) or defecting ($D$). Two strategies were tested, including ``tit-for-tat''…

Physics and Society · Physics 2026-02-04 Gregg Hartvigsen

The Prisoner's dilemma is the main game theoretical framework in which the onset and maintainance of cooperation in biological populations is studied. In the spatial version of the model, we study the robustness of cooperation in…

Disordered Systems and Neural Networks · Physics 2009-11-07 Mendeli H. Vainstein , Jeferson J. Arenzon

In recent years, agents have become capable of communicating seamlessly via natural language and navigating in environments that involve cooperation and competition, a fact that can introduce social dilemmas. Due to the interleaving of…

Artificial Intelligence · Computer Science 2025-01-28 Maayan Orner , Oleg Maksimov , Akiva Kleinerman , Charles Ortiz , Sarit Kraus

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

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

Cooperation is of utmost importance to society as a whole, but is often challenged by individual self-interests. While game theory has studied this problem extensively, there is little work on interactions within and across groups with…

Physics and Society · Physics 2010-10-14 Dirk Helbing , Anders Johansson

Gallice and Monzon (2019) present a natural environment that sustains full cooperation in one-shot social dilemmas among a finite number of self-interested agents. They demonstrate that in a sequential public goods game, where agents lack…

General Economics · Economics 2025-04-15 Chowdhury Mohammad Sakib Anwar , Konstantinos Georgalos , Sonali SenGupta

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

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