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The study of social emergence has long been a central focus in social science. Traditional modeling approaches, such as rule-based Agent-Based Models (ABMs), struggle to capture the diversity and complexity of human behavior, particularly…

Computational Engineering, Finance, and Science · Computer Science 2025-10-21 Yuzhe Yang , Yifei Zhang , Minghao Wu , Kaidi Zhang , Yunmiao Zhang , Honghai Yu , Yan Hu , Benyou Wang

We study a class of heterogeneous agent-based models which are based on a basic set of principles, and the most fundamental operations of an economic system: trade and product transformations. A basic guiding principle is scale invariance,…

Trading and Market Microstructure · Quantitative Finance 2009-02-24 Samuel E. Vazquez

In this work we review some recent development in the mathematical modelling of quantitative sociology by means of statistical mechanics. After a short pedagogical introduction to static and dynamic properties of many body systems, we…

Physics and Society · Physics 2009-10-15 Elena Agliari , Adriano Barra , Raffaella Burioni , Pierluigi Contucci

We investigate a dynamical model of opinion formation in which an individual's opinion is influenced by interactions with a group of other agents. We introduce a bias towards one of the opinions in a manner not considered earlier to the…

Physics and Society · Physics 2024-09-17 Pratik Mullick , Parongama Sen

Recent research in multi-agent reinforcement learning (MARL) has shown success in learning social behavior and cooperation. Social dilemmas between agents in mixed-sum settings have been studied extensively, but there is little research…

Artificial Intelligence · Computer Science 2023-05-01 Ram Rachum , Yonatan Nakar , Reuth Mirsky

Understanding how an individual changes its attitude, belief, and opinion due to other people's social influences is vital because of its wide implications. A core methodology that is used to study the change of attitude under social…

Social and Information Networks · Computer Science 2023-06-07 Yun-Shiuan Chuang , Timothy T. Rogers

A microscopic model of financial markets is considered, consisting of many interacting agents (spins) with global coupling and discrete-time thermal bath dynamics, similar to random Ising systems. The interactions between agents change…

Statistical Mechanics · Physics 2012-08-27 Andrzej Krawiecki , Janusz A. Holyst , and Dirk Helbing

We present numerical simulations of a model of social influence, where the opinion of each agent is represented by a binary vector. Agents adjust their opinions as a result of random encounters, whenever the difference between opinions is…

Statistical Mechanics · Physics 2009-11-10 M. F. Laguna , Guillermo Abramson , Damian H. Zanette

In this work we compare social clusters with spin clusters and compare different properties. We also try to compare phase changes in market and labor stratification with phase changes of spin clusters. Then we compare the requisites for…

Disordered Systems and Neural Networks · Physics 2007-05-23 Fariel Shafee

We propose a Statistical-Mechanics inspired framework for modeling economic systems. Each agent composing the economic system is characterized by a few variables of distinct nature (e.g. saving ratio, expectations, etc.). The agents…

Statistical Mechanics · Physics 2007-05-23 Tom Erez , Martin Hohnisch , Sorin Solomon

We study the phase diagram of a minority game where three classes of agents are present. Two types of agents play a risk-loving game that we model by the standard Snowdrift Game. The behaviour of the third type of agents is coded by {\em…

Physics and Society · Physics 2018-04-18 Eleonora Alfinito , Adriano Barra , Matteo Beccaria , Alberto Fachechi , Guido Macorini

We study consumption behaviour in systems with heterogeneous interacting agents. Two different models are introduced, respectively with long and short range interactions among agents. At any time step an agent decides whether or not to…

Statistical Mechanics · Physics 2008-12-02 Giulia Iori , Vassilis Koulovassilopoulos

Scale invariance, collective behaviours and structural reorganization are crucial for portfolio management (portfolio composition, hedging, alternative definition of risk, etc.). This lack of any characteristic scale and such elaborated…

Statistical Finance · Quantitative Finance 2014-03-24 Thomas Bury

Populations of agents often exhibit surprising collective behavior emerging from simple local interactions. The common belief is that the agents must posses a certain level of cognitive abilities for such an emerging collective behavior to…

Statistical Mechanics · Physics 2025-04-15 M. Andrecut

We study the dynamics of interacting agents from two distinct inter-mixed populations: One population includes active agents that follow a predetermined velocity field, while the second population contains exclusively passive agents, i.e.…

Numerical Analysis · Mathematics 2018-06-07 Matteo Colangeli , Adrian Muntean , Omar Richardson , Thoa Thieu

In this work we study the problem of tax evasion on a fully-connected population. For this purpose, we consider that the agents may be in three different states, namely honest tax payers, tax evaders and undecided, that are individuals in…

Physics and Society · Physics 2014-08-13 Nuno Crokidakis

A group behavior of a heterogeneous multi-agent system is studied which obeys an "average of individual vector fields" under strong couplings among the agents. Under stability of the averaged dynamics (not asking stability of individual…

Systems and Control · Electrical Eng. & Systems 2021-09-21 Jin Gyu Lee , Hyungbo Shim

Epstein's model for a civil disorder is an agent-based model that simulates a social protest process where the central authority uses the police force to dissuade it. The interactions of police officers and citizens produce dynamics that do…

Physics and Society · Physics 2022-05-17 Ignacio Ormazábal , Felipe Urbina , Félix A. Borotto , Hernán F. Astudillo

In this paper, we consider a first-order mean field game model motivated by crowd motion in which agents evolve in a (not necessarily compact) metric space and wish to reach a given target set. Each agent aims to minimize the sum of their…

Optimization and Control · Mathematics 2024-12-20 Guilherme Mazanti

We consider a model of nomadic agents exploring and competing for time-varying location-specific resources, arising in crowdsourced transportation services, online communities, and in traditional location based economic activity. This model…

Computer Science and Game Theory · Computer Science 2016-02-23 Pu Yang , Krishnamurthy Iyer , Peter Frazier