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The Matthew effect describes the phenomenon where the rich tend to get richer. Such a success-driven mechanism has been studied in spatial public goods games in an inter-group way, where each individual's social power is enhanced across all…

Physics and Society · Physics 2023-10-24 Chaoqian Wang

We present a simple discrete model for the non-linear spatial interaction of different kinds of ``subpopulations'' composed of identical moving entities like particles, bacteria, individuals, etc. The model allows to mimic a variety of…

Statistical Mechanics · Physics 2007-05-23 Dirk Helbing , Tadeusz Platkowski

Cooperation and defection may be considered as two extreme responses to a social dilemma. Yet the reality is much less clear-cut. Between the two extremes lies an interval of ambivalent choices, which may be captured theoretically by means…

Physics and Society · Physics 2012-07-02 Xiaojie Chen , Attila Szolnoki , Matjaz Perc , Long Wang

The collective dynamics seen in a wide variety of chemical, biological and ecological systems involve interactions between relaxation oscillators that typically involve fast activation process coupled with a slower inactivation. In this…

Pattern Formation and Solitons · Physics 2019-05-29 R. Janaki , Shakti N. Menon , Rajeev Singh , Sitabhra Sinha

In Evolutionary game theory the payoffs are typically fixed or shaped by external environmental variables. Here, we introduce an endogenous-feedback model in which the game played coevolves directly with the population state: the payoff…

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 use out-of-time-order commutator (OTOC) to diagnose the propagation of chaos in one dimensional long-range power law interaction system. We map the evolution of OTOC to a classical stochastic dynamics problem and use a Brownian quantum…

Statistical Mechanics · Physics 2019-08-12 Xiao Chen , Tianci Zhou

The study of societies of adaptive agents seeking minority status is an active area of research. Recently, it has been demonstrated that such systems display an intriguing phase-transition: agents tend to {\it self-segregate} or to {\it…

Condensed Matter · Physics 2009-11-07 Ehud Nakar , Shahar Hod

The very notion of social network implies that linked individuals interact repeatedly with each other. This allows them not only to learn successful strategies and adapt to them, but also to condition their own behavior on the behavior of…

Physics and Society · Physics 2015-05-27 Luca Dall'Asta , Matteo Marsili , Paolo Pin

Sustainability of common-pool resources hinges on the interplay between human and environmental systems. However, there is still a lack of a novel and comprehensive framework for modelling extraction of common-pool resources and cooperation…

Theoretical Economics · Economics 2023-10-18 Chengyi Tu , Renfei Chen , Ying Fan , Xuwei Pan

Getting a group to adopt cooperative norms is an enduring challenge. But in real-world settings, individuals don't just passively accept static environments, they act both within and upon the social systems that structure their…

Social and Information Networks · Computer Science 2025-02-11 Qiankun Zhong , Nori Jacoby , Ofer Tchernichovski , Seth Frey

For a binary choice problem, the spatial coordination of decisions in an agent community is investigated both analytically and by means of stochastic computer simulations. The individual decisions are based on different local information…

Statistical Mechanics · Physics 2009-11-07 Frank Schweitzer , Joerg Zimmermann , Heinz Muehlenbein

How do landscape fragmentation affects ecosystems diversity and stability is an important and complex question in ecology with no simple answer, as spatially separated habitats where species live are highly dynamic rather than just static.…

Chaotic Dynamics · Physics 2016-08-17 Ramesh Arumugam , Partha Sharathi Dutta , Tanmoy Banerjee

Experimental studies have shown the ubiquity of altruistic behavior in human societies. The social structure is a fundamental ingredient to understand the degree of altruism displayed by the members of a society, in contrast to…

Adaptation and Self-Organizing Systems · Physics 2009-05-27 Víctor M. Eguíluz , Claudio J. Tessone

Studies of cooperation have traditionally focused on discrete games such as the well-known prisoner's dilemma, in which players choose between two pure strategies: cooperation and defection. Increasingly, however, cooperation is being…

Populations and Evolution · Quantitative Biology 2010-10-27 Åke Brännström , Thilo Gross , Bernd Blasius , Ulf Dieckmann

Income redistribution is the transfer of income from some individuals to others directly or indirectly by means of social mechanisms, such as taxation, public services and so on. Employing a spatial public goods game, we study the influence…

Physics and Society · Physics 2017-03-08 Zhenhua Pei , Baokui Wang , Jinming Du

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

Groups of humans are often able to find ways to cooperate with one another in complex, temporally extended social dilemmas. Models based on behavioral economics are only able to explain this phenomenon for unrealistic stateless matrix…

In today's dynamic and interconnected world, resource constraints pose significant challenges across various domains, ranging from networks, logistics and manufacturing to project management and optimization, etc. Resource-constrained…

Computer Science and Game Theory · Computer Science 2023-11-09 Shiksha Singhal

Trail interactions occur when past particle trajectories bias future motion, rendering the system out of thermodynamic equilibrium. While such systems are abundant in nature, their understanding is limited to the single-particle level or…

Statistical Mechanics · Physics 2025-12-04 Paul Pineau , Samuel Bell , Raphaël Voituriez , Ram M. Adar