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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 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

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

The Prisoner's Dilemma, a 2-person game in which the players can either cooperate or defect, is a common paradigm for studying the evolution of cooperation, when individuals exhibit variable degrees of cooperation. It is known that in the…

Populations and Evolution · Quantitative Biology 2014-03-12 Margarita Ifti , Timothy Killingback , Michael Doebeli

It is generally believed that in a situation where individual and collective interests are in conflict, the availability of optional participation is a key mechanism to maintain cooperation. Surprisingly, this effect is sensitive to the use…

Physics and Society · Physics 2023-06-21 Marcos Cardinot , Colm O'Riordan , Josephine Griffith , Attila Szolnoki

The emergence of mutual cooperation is studied in a spatially extended evolutionary prisoner's dilemma game in which the players are located on the sites of cubic lattices for dimensions d=1, 2, and 3. Each player can choose one of the…

Statistical Mechanics · Physics 2009-10-31 Gyorgy Szabo , Tibor Antal , Peter Szabo , Michel Droz

Recent successes of game-theoretic formulations in ML have caused a resurgence of research interest in differentiable games. Overwhelmingly, that research focuses on methods and upper bounds on their speed of convergence. In this work, we…

Machine Learning · Computer Science 2020-09-16 Adam Ibrahim , Waïss Azizian , Gauthier Gidel , Ioannis Mitliagkas

We consider the prisoner's dilemma being played repeatedly on a dynamic network, where agents may choose their actions as well as their co-players. This leads to co-evolution of network structure and strategy patterns of the players.…

Physics and Society · Physics 2007-06-26 Christoly Biely , Klaus Dragosits , Stefan Thurner

Recent work has revealed a new class of "zero-determinant" (ZD) strategies for iterated, two-player games. ZD strategies allow a player to unilaterally enforce a linear relationship between her score and her opponent's score, and thus…

Populations and Evolution · Quantitative Biology 2013-12-30 Alexander J. Stewart , Joshua B. Plotkin

Punishment and partner switching are two well-studied mechanisms that support the evolution of cooperation. Observation of human behaviour suggests that the extent to which punishment is adopted depends on the usage of alternative…

Physics and Society · Physics 2018-04-26 Hirofumi Takesue

Punishment is a common tactic to sustain cooperation and has been extensively studied for a long time. While most of previous game-theoretic work adopt the imitation learning where players imitate the strategies who are better off, the…

Populations and Evolution · Quantitative Biology 2024-12-20 Chenyang Zhao , Guozhong Zheng , Chun Zhang , Jiqiang Zhang , Li Chen

Some of the most relevant future applications of multi-agent systems like autonomous driving or factories as a service display mixed-motive scenarios, where agents might have conflicting goals. In these settings agents are likely to learn…

Multiagent Systems · Computer Science 2022-07-20 Kyrill Schmid , Lenz Belzner , Robert Müller , Johannes Tochtermann , Claudia Linnhoff-Popien

We propose two new evolutionary rules that is not mimic evolution of strategies based on the spatial Prisoner's Dilemma (PD). The former follows the selfish evolutionary rule and then the coexistence phase appears with weak phase transition…

Cellular Automata and Lattice Gases · Physics 2007-05-23 Norihito Toyota , Shota Hayakawa

This paper has two central aims: first, to provide simple conditions under which the generalized games in choice form and, consequently, the abstract economies, admit equilibrium; second, to study the solvability of several types of systems…

Optimization and Control · Mathematics 2016-05-17 Monica Patriche

This paper studies a two-player game in which the players face uncertainty regarding the nature of their partner. In this variation of the standard Prisoner's Dilemma, players may encounter an 'honest' type who always cooperates.…

Theoretical Economics · Economics 2025-09-12 Georgy Lukyanov , David Li

Recently, the eco-evolutionary game theory which describes the coupled dynamics of strategies and environment have attracted great attention. At the same time, most of the current work is focused on the classic two-player two-strategy game.…

Physics and Society · Physics 2021-11-22 Bin-Quan Li , Cong Liu , Zhi-Xi Wu , Jian-Yue Guan

We propose an extension of the evolutionary Prisoner's Dilemma cellular automata, introduced by Nowak and May \cite{nm92}, in which the pressure of the environment is taken into account. This is implemented by requiring that individuals…

Physics and Society · Physics 2009-11-11 Julia Alonso , Ariel Fernandez , Hugo Fort

Repeated game has long been the touchstone model for agents' long-run relationships. Previous results suggest that it is particularly difficult for a repeated game player to exert an autocratic control on the payoffs since they are jointly…

Computer Science and Game Theory · Computer Science 2018-07-19 Dong Hao , Kai Li , Tao Zhou

Destructive agents, who opt out of the game and indiscriminately harm others, paradoxically foster cooperation, representing an intriguing variant of the voluntary participation strategy. Yet, their impact on cooperation remains…

Physics and Society · Physics 2024-09-13 Khadija Khatun , Chen Shen , Lei Shi , Jun Tanimoto
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