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Random walks are powerful tools to analyze spatial-temporal patterns produced by living organisms ranging from cells to humans. At the same time, it is evident that these patterns are not completely random but are results of a convolution…

Statistical Mechanics · Physics 2021-12-08 M. I. Krivonosov , S. N. Tikhomirov , S. Denisov

Indirect reciprocity is one of the major mechanisms for the evolution of cooperation in human societies. There are two types of indirect reciprocity: upstream and downstream. Cooperation in downstream reciprocity follows the pattern, 'You…

Populations and Evolution · Quantitative Biology 2024-04-22 Tatsuya Sasaki , Satoshi Uchida , Isamu Okada , Hitoshi Yamamoto

Stochastic models, based on random processes, may lead to power law distributions, which provide long range correlations. The observation of power law behavior and the presence of long range correlations in biological systems has been…

Statistical Mechanics · Physics 2008-03-26 Thomas Oikonomou

We introduce preferential behavior into the study on statistical mechanics of money circulation. The computer simulation results show that the preferential behavior can lead to power laws on distributions over both holding time and amount…

Physics and Society · Physics 2009-11-11 Ning Ding , Yougui Wang

The orientational memory of particles can serve as an effective measure of diffusivity, spreading, and search efficiency in complex stochastic processes. We develop a theoretical framework to describe the decay of directional correlations…

Soft Condensed Matter · Physics 2022-09-05 Zeinab Sadjadi , M. Reza Shaebani

This paper analyzes the relationships between demographic and state-based evolutionary games and Hamilton's rule. It is shown that the classical Hamilton's rule (counterfactual method), combined with demographic payoffs, leads to easily…

Populations and Evolution · Quantitative Biology 2025-04-22 Krzysztof Argasinski , Ryszard Rudnicki

A generalized model of games is proposed, in which cooperative games and non-cooperative games are special cases. Some games that are neither cooperative nor non-cooperative can be expressed and analyzed. The model is based on relationships…

Computer Science and Game Theory · Computer Science 2016-10-10 Jiawei Li

Prisoner's Dilemma is a game theory model used to describe altruistic behavior seen in various populations. This theoretical game is important in understanding why a seemingly selfish strategy does persist and spread throughout a population…

Physics and Society · Physics 2020-04-16 Sharon M. Cameron , Ariel Cintrón-Arias

The structure of social networks is a key determinant in fostering cooperation and other altruistic behavior among naturally selfish individuals. However, most real social interactions are temporal, being both finite in duration and spread…

Physics and Society · Physics 2016-09-27 Aming Li , Lei Zhou , Qi Su , Sean P. Cornelius , Yang-Yu Liu , Long Wang

Evolutionary game theory offers a general framework to study how behaviors evolve by social learning in a population. This body of theory can accommodate a range of social dilemmas, or games, as well as real-world complexities such as…

Physics and Society · Physics 2025-10-08 Guocheng Wang , Qi Su , Long Wang , Joshua B. Plotkin

The recent availability of electronic datasets containing large volumes of communication data has made it possible to study human behavior on a larger scale than ever before. From this, it has been discovered that across a diverse range of…

Physics and Society · Physics 2015-05-08 Gordon J Ross , Tim Jones

Authors propose a conceptual model of participation in viral diffusion process composed of four stages: awareness, infection, engagement and action. To verify the model it has been applied and studied in the virtual social chat environment…

Social and Information Networks · Computer Science 2013-03-12 Jarosław Jankowski , Sylwia Ciuberek , Anita Zbieg , Radosław Michalski

We empirically study the activity patterns of individual blog-posting and find significant memory effects. The memory coefficient first decays in a power law and then turns to an exponential form. Moreover, the inter-event time distribution…

Physics and Society · Physics 2010-11-03 Peng Wang , Tao Zhou , Xiao-Pu Han , Bing-Hong Wang

Random walks find applications in many areas of science and are the heart of essential network analytic tools. When defined on temporal networks, even basic random walk models may exhibit a rich spectrum of behaviours, due to the…

Physics and Society · Physics 2019-11-11 Julien Petit , Renaud Lambiotte , Timoteo Carletti

The evolution of cooperation among unrelated individuals in human and animal societies remains a challenging issue across disciplines. It is an important subject also in the evolutionary game theory to research how cooperation arises. The…

Physics and Society · Physics 2018-10-23 Norihito Toyota

Understanding cooperation in social systems is challenging because the ever-changing rules that govern societies interact with individual actions, resulting in intricate collective outcomes. In virtual-world experiments, we allowed people…

Neurons and Cognition · Quantitative Biology 2025-02-25 Ofer Tchernichovski , Seth Frey , Dalton C. Conley , Nori Jacoby

Members of various species engage in altruism--i.e. accepting personal costs to benefit others. Here we present an incentivized experiment to test for altruistic behavior among AI agents consisting of large language models developed by the…

Artificial Intelligence · Computer Science 2023-01-09 Tim Johnson , Nick Obradovich

We consider a 1-dimensional Brownian motion whose diffusion coefficient varies when it crosses the origin. We study the long time behavior and we establish different regimes, depending on the variations of the diffusion coefficient:…

Probability · Mathematics 2016-11-28 Nicolas Meunier , Clément Mouhot , Raphaël Roux

In the gravitational evolution of a cold infinite particle distribution, two-body interactions can be predominant at early times: we show that, by treating the simple case of a Poisson particle distribution in a static universe as an…

Astrophysics · Physics 2009-11-10 Thierry Baertschiger , Francesco Sylos Labini

The donation game is a well-established framework for studying the emergence and evolution of cooperation in multi-agent systems. The cooperative behavior can be influenced by the environmental noise in partially observable settings and by…

Multiagent Systems · Computer Science 2025-07-17 Marcin Kowalik , Przemysław Stokłosa , Mateusz Grabowski , Janusz Starzyk , Paweł Raif
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