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Self-serving, rational agents sometimes cooperate to their mutual benefit. The two-player iterated prisoner's dilemma game is a model for including the emergence of cooperation. It is generally believed that there is no simple ultimatum…

Computer Science and Game Theory · Computer Science 2024-11-08 Jin-Li Guo

Repeated games have a long tradition in the behavioral sciences and evolutionary biology. Recently, strategies were discovered that permit an unprecedented level of control over repeated interactions by enabling a player to unilaterally…

Populations and Evolution · Quantitative Biology 2016-10-25 Alex McAvoy , Christoph Hauert

Zero-determinant strategies are memory-one strategies in repeated games which unilaterally enforce linear relations between expected payoffs of players. Recently, the concept of zero-determinant strategies was extended to the class of…

Optimization and Control · Mathematics 2022-09-07 Masahiko Ueda

Economic ensembles can be modeled as networks of interacting agents whose be-haviors are described in terms of game theory. The evolutionary paradigm has been applied to two-person games to discover strategies in this context.…

Condensed Matter · Physics 2007-05-23 Wan Ahmad Tajuddin Wan Abdullah

We present a general framework for evolutionary learning to emergent unbiased state representation without any supervision. Evolutionary frameworks such as self-play converge to bad local optima in case of multi-agent reinforcement learning…

Machine Learning · Statistics 2023-02-03 Shohei Ohsawa

Are Large Language Models (LLMs) a new form of strategic intelligence, able to reason about goals in competitive settings? We present compelling supporting evidence. The Iterated Prisoner's Dilemma (IPD) has long served as a model for…

Artificial Intelligence · Computer Science 2025-07-04 Kenneth Payne , Baptiste Alloui-Cros

Social dilemmas exist in various fields and give rise to the so-called free-riding problem, leading to collective fiascos. The difficulty of tracking individual behaviors makes egoistic incentives in large-scale systems a challenging task.…

Computer Science and Game Theory · Computer Science 2020-01-09 Shengling Wang , Peizi Ma , Qin Hu , Xiuzhen Cheng , Weifeng Lv

Evolutionary game theory has proven to be an elegant framework providing many fruitful insights in population dynamics and human behaviour. Here, we focus on the aspect of behavioural plasticity and its effect on the evolution of…

Populations and Evolution · Quantitative Biology 2020-09-29 M. Kleshnina , K. Kaveh , K. Chatterjee

Direct reciprocity and conditional cooperation are important mechanisms to prevent free riding in social dilemmas. But in large groups these mechanisms may become ineffective, because they require single individuals to have a substantial…

Populations and Evolution · Quantitative Biology 2014-11-05 Christian Hilbe , Arne Traulsen , Bin Wu , Martin A. Nowak

How coperation between self-interested individuals evolve is a crucial problem, both in biology and in social sciences, that is far from being well understood. Evolutionary game theory is a useful approach to this issue. The simplest model…

Cellular Automata and Lattice Gases · Physics 2007-12-21 H. Fort

Game theory provides a quantitative framework for analyzing the behavior of rational agents. The Iterated Prisoner's Dilemma in particular has become a standard model for studying cooperation and cheating, with cooperation often emerging as…

Populations and Evolution · Quantitative Biology 2015-06-18 Alexander J. Stewart , Joshua B. Plotkin

Understanding the evolutionary dynamics of reinforcement learning under multi-agent settings has long remained an open problem. While previous works primarily focus on 2-player games, we consider population games, which model the strategic…

Multiagent Systems · Computer Science 2020-06-30 Shuyue Hu , Chin-Wing Leung , Ho-fung Leung , Harold Soh

Repeated interactions are ubiquitous and known to promote social behaviour. While research often focuses on cooperation in the Prisoner's Dilemma, experimental evidence suggests repeated interactions also foster fairness. This study…

Adaptation and Self-Organizing Systems · Physics 2026-04-07 Prosanta Mandal , Arunava Patra , Sagar Chakraborty

We define a new strategy for population games based on techniques from machine learning and statistical inference that is essentially uninvadable and can successfully invade (significantly more likely than a neutral mutant) essentially all…

Populations and Evolution · Quantitative Biology 2015-05-11 Christopher Lee , Marc Harper , Dashiell Fryer

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

There is a broad recognition that commitment-based mechanisms can promote coordination and cooperative behaviours in both biological populations and self-organised multi-agent systems by making individuals' intentions explicit prior to…

Computer Science and Game Theory · Computer Science 2025-09-15 Ndidi Bianca Ogbo , Zhao Song , The Anh Han

Evolutionary competition often occurs simultaneously at multiple levels of organization, in which traits or behaviors that are costly for an individual can provide collective benefits to groups to which the individual belongs. Building off…

Populations and Evolution · Quantitative Biology 2024-11-14 Konstantinos Alexiou , Daniel B. Cooney

Evolutionary games provide the theoretical backbone for many aspects of our social life: from cooperation to crime, from climate inaction to imperfect vaccination and epidemic spreading, from antibiotics overuse to biodiversity…

Physics and Society · Physics 2020-11-04 I. Sendiña-Nadal , I. Leyva , M. Perc , D. Papo , M. Jusup , Z. Wang , J. A. Almendral , P. Manshour , S. Boccaletti

Empirical evidence shows that human behaviour often deviates from game-theoretical rationality. For instance, humans may hold unrealistic expectations about future outcomes. As the evolutionary roots of such biases remain unclear, we…

Multiagent Systems · Computer Science 2025-08-29 Marco Saponara , Elias Fernandez Domingos , Jorge M. Pacheco , Tom Lenaerts

Pro-social punishment and exclusion are common means to elevate the level of cooperation among unrelated individuals. Indeed, it is worth pointing out that the combined use of these two strategies is quite common across human societies.…

Physics and Society · Physics 2018-12-27 Linjie Liu , Shengxian Wang , Xiaojie Chen , Matjaz Perc