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In real-life complex systems, individuals often encounter multiple social dilemmas that cannot be effectively captured using a single-game model. Furthermore, the environment and limited resources both play a crucial role in shaping…

Physics and Society · Physics 2025-04-15 Chengbin Sun , Alfonso de Miguel-Arribas , Chaoqian Wang , Haoxiang Xia , Yamir Moreno

The theory of learning in games has extensively studied situations where agents respond dynamically to each other by optimizing a fixed utility function. However, in real situations, the strategic environment varies as a result of past…

Computer Science and Game Theory · Computer Science 2022-07-15 Brandon C. Collins , Shouhuai Xu , Philip N. Brown

Economic experiments reveal that humans value cooperation and fairness. Punishing unfair behavior is therefore common, and according to the theory of strong reciprocity, it is also directly related to rewarding cooperative behavior.…

Physics and Society · Physics 2013-11-28 Attila Szolnoki , Matjaz Perc

Governments and enterprises strongly rely on incentives to generate favorable outcomes from social and strategic interactions between individuals. The incentives are usually modeled by payoffs in evolutionary games, such as the prisoner's…

Physics and Society · Physics 2018-05-14 Kaj-Kolja Kleineberg , Dirk Helbing

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

The evolution of cooperation has been a perennial problem in evolutionary biology because cooperation can be undermined by selfish cheaters who gain an advantage in the short run, while compromising the long-term viability of the…

Populations and Evolution · Quantitative Biology 2015-06-10 Arend Hintze , Christoph Adami

The evolution and long-term sustenance of cooperation has consistently piqued scholarly interest across the disciplines of evolutionary biology and social sciences. Previous theoretical and experimental studies on collective risk social…

Physics and Society · Physics 2023-08-23 Shijia Hua , Zitong Hui , Linjie Liu

The environment undergoes perpetual changes that are influenced by a combination of endogenous and exogenous factors. Consequently, it exerts a substantial influence on an individual's physical and psychological state, directly or…

Physics and Society · Physics 2025-12-11 Yuji Zhang , Minyu Feng , Jürgen Kurths , Attila Szolnoki

The paper presents a model of two-speed evolution in which the payoffs in the population game (or, alternatively, the individual preferences) slowly adjust to changes in the aggregate behavior of the population. The model investigates how,…

Theoretical Economics · Economics 2021-06-16 George Loginov

Social exclusion has been regarded as one of the most effective measures to promote the evolution of cooperation. In real society, the way in which social exclusion works can be direct or indirect. However, thus far there is no related work…

Physics and Society · Physics 2022-08-30 Linjie Liu , Xiaojie Chen

Prosocial behaviors are encountered in the donation game, the prisoner's dilemma, relaxed social dilemmas, and public goods games. Many studies assume that the population structure is homogeneous, meaning all individuals have the same…

Populations and Evolution · Quantitative Biology 2020-05-28 Alex McAvoy , Benjamin Allen , Martin A. Nowak

Microscopic strategy update rules play an important role in the evolutionary dynamics of cooperation among interacting agents on complex networks. Many previous related works only consider one \emph{fixed} rule, while in the real world,…

Optimization and Control · Mathematics 2023-11-27 Shengxian Wang , Weijia Yao , Ming Cao , Xiaojie Chen

The emergence of cooperation among self-interested agents has been a key concern of the multi-agent systems community for decades. With the increased importance of network-mediated interaction, researchers have shifted the attention on the…

Physics and Society · Physics 2022-02-09 Jacques Bara , Paolo Turrini , Giulia Andrighetto

Trusting in others and reciprocating that trust with trustworthy actions are crucial to successful and prosperous societies. The Trust Game has been widely used to quantitatively study trust and trustworthiness, involving a sequential…

Statistical Mechanics · Physics 2021-01-04 Ik Soo Lim

We introduce a framework for studying social dilemmas in networked societies where individuals follow a simple state-based behavioral mechanism based on generalized reciprocity, which is rooted in the principle "help anyone if helped by…

Populations and Evolution · Quantitative Biology 2019-03-01 Viktor Stojkoski , Zoran Utkovski , Lasko Basnarkov , Ljupco Kocarev

Synergies between evolutionary game theory and statistical physics have significantly improved our understanding of public cooperation in structured populations. Multiplex networks, in particular, provide the theoretical framework within…

Physics and Society · Physics 2017-07-13 Federico Battiston , Matjaz Perc , Vito Latora

We consider the evolutionary dynamics of a cooperative game on an adaptive network, where the strategies of agents (cooperation or defection) feed back on their local interaction topology. While mutual cooperation is the social optimum,…

Physics and Society · Physics 2010-09-13 Gerd Zschaler , Arne Traulsen , Thilo Gross

Common-pool resource governance requires users to cooperate and avoid overexploitation, but defection and free-riding often undermine cooperation. We model a human-environmental system that integrates dynamics of resource and users'…

Theoretical Economics · Economics 2024-01-23 Chengyi Tu , Renfei Chen , Ying Fan , Yongliang Yang

Many socio-economic and biological processes can be modeled as systems of interacting individuals. The behaviour of such systems can be often described within game-theoretic models. In these lecture notes, we introduce fundamental concepts…

Populations and Evolution · Quantitative Biology 2013-05-30 Jacek Miekisz

Societies consisting of cooperative individuals seem to require for their continuing success that defectors be policed. The precise connection between punishers and benefits, population structure, and division of labour, however, remains…

Populations and Evolution · Quantitative Biology 2015-12-11 Gereon A. Kaiping , Timothy J. Sluckin , Simon J. Cox