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The mixed Hegselmann-Krause (HK) model consists of a finite number of agents characterized by their opinion, a vector in $\mathbf{R^d}$. For the deterministic case, each agent updates its opinion by the rule: decide its degree of…

Dynamical Systems · Mathematics 2023-01-31 Hsin-Lun Li

This paper studies algorithmic decision-making under human's strategic behavior, where a decision maker uses an algorithm to make decisions about human agents, and the latter with information about the algorithm may exert effort…

Computer Science and Game Theory · Computer Science 2024-09-16 Tian Xie , Xuwei Tan , Xueru Zhang

An agent-based model for firms' dynamics is developed. The model consists of firm agents with identical characteristic parameters and a bank agent. Dynamics of those agents is described by their balance sheets. Each firm tries to maximize…

General Finance · Quantitative Finance 2009-01-14 Hiroshi Iyetomi , Hideaki Aoyama , Yoshi Fujiwara , Yuichi Ikeda , Wataru Souma

Multi-agent systems - systems with multiple independent AI agents working together to achieve a common goal - are becoming increasingly prevalent in daily life. Drawing inspiration from the phenomenon of human group social influence, we…

Artificial Intelligence · Computer Science 2025-09-25 Tianqi Song , Yugin Tan , Zicheng Zhu , Yibin Feng , Yi-Chieh Lee

Brownian motion have long been studied on a diversity of fields, not only in physics of statistical mechanics, but also in biological models, finance and economic process, and social systems. In the past twenty years, there has been a…

Physics and Society · Physics 2025-12-05 Peng Wang , Peter Luh

The influence of additional information on the decision making of agents, who are interacting members of a society, is analyzed within the mathematical framework based on the use of quantum probabilities. The introduction of social…

Physics and Society · Physics 2015-10-12 V. I. Yukalov , D. Sornette

On a capital market the social group is formed from traders. Individual behaviour of agents is influenced by the need to associate with other agents and to obtain the approval of other agents in the group. Making decisions an individual…

Other Condensed Matter · Physics 2021-08-19 Ondrej Hudak , Jana Tothova

We propose an agent-based model of collective opinion formation to study the wisdom of crowds under social influence. The opinion of an agent is a continuous positive value, denoting its subjective answer to a factual question. The wisdom…

Physics and Society · Physics 2020-08-25 Pavlin Mavrodiev , Frank Schweitzer

AI and humans bring complementary skills to group deliberations. Modeling this group decision making is especially challenging when the deliberations include an element of risk and an exploration-exploitation process of appraising the…

Human-Computer Interaction · Computer Science 2022-01-11 Wei Ye , Francesco Bullo , Noah Friedkin , Ambuj K Singh

Homophily and social influence are the fundamental mechanisms that drive the evolution of attitudes, beliefs and behaviour within social groups. Homophily relates the similarity between pairs of individuals' attitudinal states to their…

Physics and Society · Physics 2015-06-12 Jonathan Ward , Peter Grindrod

An operatorial model of a system made by $N$ agents interacting each other with mechanisms that can be thought of as cooperative or competitive is presented. We associate to each agent an annihilation, creation and number fermionic…

Physics and Society · Physics 2025-05-29 M. Gorgone , G. Inferrera , F. Oliveri

Recent studies show that many types of human social activities, from scientific collaborations to sexual contacts, can be understood in terms of complex network of interactions. Such networking paradigm allows to model many aspects of…

Disordered Systems and Neural Networks · Physics 2007-05-23 Pawel Sobkowicz

The dynamics of agent-based systems provide a framework to face the complexity of pedestrian-vehicle interactions in future cities, in which the compliance to traffic norms plays a fundamental role. The data of an observation performed at a…

Multiagent Systems · Computer Science 2017-12-06 Stefania Bandini , Luca Crociani , Giuseppe Vizzari , Flavio Soares Correa da Silva , Andrea Gorrini

Humans have needs motivating their behavior according to intensity and context. However, we also create preferences associated with each action's perceived pleasure, which is susceptible to changes over time. This makes decision-making more…

Robotics · Computer Science 2024-09-05 Letícia Berto , Paula Costa , Alexandre Simões , Ricardo Gudwin , Esther Colombini

Understanding the intention of vehicles in the surrounding traffic is crucial for an autonomous vehicle to successfully accomplish its driving tasks in complex traffic scenarios such as highway forced merging. In this paper, we consider a…

Artificial Intelligence · Computer Science 2023-09-27 Xiao Li , Kaiwen Liu , H. Eric Tseng , Anouck Girard , Ilya Kolmanovsky

In this work we study a continuous opinion dynamics model considering 3-agent interactions and group pressure. Agents interact in a fully-connected population, and two parameters govern the dynamics: the agents' convictions $\lambda$, that…

Physics and Society · Physics 2020-05-26 Nuno Crokidakis

The \((n,k)\) game models a group of \(n\) individuals with binary opinions, say 1 and 0, where a decision is made if at least \(k\) individuals hold opinion 1. This paper explores the dynamics of the game with heterogeneous agents under…

Probability · Mathematics 2024-09-17 Hsin-Lun Li

We investigate the formation of opinion against authority in an authoritarian society composed of agents with different levels of authority. We explore a "dissenting" opinion, held by lower-ranking, obedient, or less authoritative people,…

Physics and Society · Physics 2018-04-10 Eun Lee , Petter Holme , Sang Hoon Lee

We propose a model of inference and heuristic decision-making in groups that is rooted in the Bayes rule but avoids the complexities of rational inference in partially observed environments with incomplete information, which are…

Multiagent Systems · Computer Science 2016-11-04 M. Amin Rahimian , Ali Jadbabaie

In this paper, we present a microscopic agent-based pedestrian behavior model Intend-Wait-Cross. The model is comprised of rules representing behaviors of pedestrians as a series of decisions that depend on their individual characteristics…

Robotics · Computer Science 2022-03-15 Amir Rasouli , Iuliia Kotseruba