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The aim of this article is to address the question of the endogenization of mimetic processes in formal models of social systems. Starting from some studies about cognitive differences between humans and animals, we propose a formal…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Chavalarias David , Bourgine Paul

In social situations with which evolutionary game is concerned, individuals are considered to be heterogeneous in various aspects. In particular, they may differently perceive the same outcome of the game owing to heterogeneity in…

Populations and Evolution · Quantitative Biology 2014-03-07 Naoki Masuda

Innovation and evolution are two processes of paramount relevance for social and biological systems. In general, the former allows to introduce elements of novelty, while the latter is responsible for the motion of a system in its phase…

Physics and Society · Physics 2018-04-11 Marco Antonio Amaral , Marco Alberto Javarone

Evolutionary game theory has impacted many fields of research by providing a mathematical framework for studying the evolution and maintenance of social and moral behaviors. This success is owed in large part to the demonstration that the…

Physics and Society · Physics 2024-06-03 José F. Fontanari

Decision-making individuals often imitate their highest-earning fellows rather than optimize their own utilities, due to bounded rationality and incomplete information. Perpetual fluctuations between decisions have been reported as the…

Systems and Control · Electrical Eng. & Systems 2023-02-16 Yiheng Fu , Pouria Ramazi

We study the evolution of behavioral rules in environments with multiple contexts. Agents copy rules used by better-performing peers in the same context and apply them across contexts. Multiple contexts turn discrete-time imitation dynamics…

Theoretical Economics · Economics 2026-05-08 Enrique Urbano Arellano , Xinyang Wang

Imitation is an important learning heuristic in animal and human societies. Previous explorations report that the fate of individuals with cooperative strategies is sensitive to the protocol of imitation, leading to a conundrum about how…

Physics and Society · Physics 2023-11-22 Xiaochen Wang , Lei Zhou , Alex McAvoy , Aming Li

When a prediction algorithm serves a collection of users, disparities in prediction quality are likely to emerge. If users respond to accurate predictions by increasing engagement, inviting friends, or adopting trends, repeated learning…

Machine Learning · Computer Science 2025-11-27 Eden Saig , Nir Rosenfeld

We introduce a mathematical model that combines the concepts of complex contagion with payoff-biased imitation, to describe how social behaviors spread through a population. Traditional models of social learning by imitation are based on…

Physics and Society · Physics 2025-01-13 Hiroaki Chiba-Okabe , Joshua B. Plotkin

Evolutionary game theory has been an important tool for describing economic and social behaviour for decades. Approximate mean value equations describing the time evolution of strategy concentrations can be derived from the players'…

Populations and Evolution · Quantitative Biology 2011-02-10 Mathis Antony , Degang Wu , K Y Szeto

We consider a broad class of stochastic imitation dynamics over networks, encompassing several well known learning models such as the replicator dynamics. In the considered models, players have no global information about the game…

Systems and Control · Computer Science 2021-03-02 Lorenzo Zino , Giacomo Como , Fabio Fagnani

Imitation dynamics for population games are studied and their asymptotic properties analyzed. In the considered class of imitation dynamics - that encompass the replicator equation as well as other models previously considered in…

Systems and Control · Computer Science 2021-03-02 Lorenzo Zino , Giacomo Como , Fabio Fagnani

Social institutions are systems of shared norms and rules that regulate people's behaviors, often emerging without external enforcement. They provide criteria to distinguish cooperation from defection and establish rules to sustain…

Physics and Society · Physics 2025-04-15 Kenji Itao , Kunihiko Kaneko

Evolutionary game dynamics describes not only frequency dependent genetical evolution, but also cultural evolution in humans. In this context, successful strategies spread by imitation. It has been shown that the details of strategy update…

Populations and Evolution · Quantitative Biology 2013-10-07 Arne Traulsen , Dirk Semmann , Ralf D. Sommerfeld , Hans-Juergen Krambeck , Manfred Milinski

Humans do not always make rational choices, a fact that experimental economics is putting on solid grounds. The social context plays an important role in determining our actions, and often we imitate friends or acquaintances without any…

Physics and Society · Physics 2012-10-01 Daniele Vilone , José J. Ramasco , Angel Sánchez , Maxi San Miguel

Understanding the evolution of human social systems requires flexible formalisms for the emergence of institutions. Although game theory is normally used to model interactions individually, larger spaces of games can be helpful for modeling…

Physics and Society · Physics 2021-08-12 Seth Frey , Curtis Atkisson

We study the asymptotic behavior of deterministic, continuous-time imitation dynamics for population games over networks. The basic assumption of this learning mechanism -- encompassing the replicator dynamics -- is that players belonging…

Systems and Control · Electrical Eng. & Systems 2020-10-23 Giacomo Como , Fabio Fagnani , Lorenzo Zino

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

How to promote the innovative activities is an important problem for modern society. In this paper, combining with the evolutionary games and information spreading, we propose a lattice model to investigate dynamics of human innovative…

Physics and Society · Physics 2013-03-05 Ying-Ting Lin , Xiao-Pu Han , Bing-Hong Wang

The Naming Game is a model of non-equilibrium dynamics for the self-organized emergence of a linguistic convention or a communication system in a population of agents with pairwise local interactions. We present an extensive study of its…

Physics and Society · Physics 2007-05-23 Luca Dall'Asta , Andrea Baronchelli , Alain Barrat , Vittorio Loreto
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