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Collective opinions affect civic participation, governance, and societal norms. Due to the influence of opinion dynamics, many models of their formation and evolution have been developed. A commonly used approach for the study of opinion…

Dynamical Systems · Mathematics 2023-01-06 Claudia Kann , Michelle Feng

As the consequences of opinion polarization effect our everyday life in more and more aspect, the understanding of its origins and driving forces becomes increasingly important. Here we develop an agent-based network model with realistic…

Physics and Society · Physics 2024-09-26 Zoltan Kovács , Anna Zafeiris , Gergely Palla

Large Language Models (LLMs) are increasingly positioned as decision engines for hiring, healthcare, and economic judgment, yet real-world human judgment reflects a balance between rational deliberation and emotion-driven bias. If LLMs are…

The flow of information reaching us via the online media platforms is optimized not by the information content or relevance but by popularity and proximity to the target. This is typically performed in order to maximise platform usage. As a…

Physics and Society · Physics 2019-06-19 Alina Sîrbu , Dino Pedreschi , Fosca Giannotti , János Kertész

We propose a mathematical model for the word-of-mouth communications among stock investors through social networks and explore how the changes of the investors' social networks influence the stock price dynamics and vice versa. An investor…

Trading and Market Microstructure · Quantitative Finance 2016-02-22 Li-Xin Wang

Confirmation bias is a cognitive bias that adversely affects management decisions, and mathematical modelling is an aid to its detailed understanding. Bias in opinion update about the value of a parameter is modelled here assuming that…

Other Statistics · Statistics 2022-02-08 Rose D Baker

Subjective expected utility theory assumes that decision-makers possess unlimited computational resources to reason about their choices; however, virtually all decisions in everyday life are made under resource constraints - i.e.…

Machine Learning · Statistics 2016-10-07 Pedro A. Ortega , Alan A. Stocker

Armed with a decade of social media data, I explore the impact of investor emotions on earnings announcements. In particular, I test whether the emotional content of firm-specific messages posted on social media just prior to a firm's…

Portfolio Management · Quantitative Finance 2020-06-29 Domonkos F. Vamossy

We generalize bounded-confidence models (BCMs) of opinion dynamics by incorporating neighborhood effects. In a BCM, interacting agents influence each other through dyadic influence if their opinions are sufficiently similar to each other.…

Physics and Society · Physics 2025-05-23 Sanjukta Krishnagopal , Mason A. Porter

Forecasting crude oil prices remains challenging because market-relevant information is embedded in large volumes of unstructured news and is not fully captured by traditional polarity-based sentiment measures. This paper examines whether…

Statistical Finance · Quantitative Finance 2026-03-18 Dehao Dai , Ding Ma , Dou Liu , Kerui Geng , Yiqing Wang

In this manuscript, we introduce and study a variant of the agent-based opinion dynamics proposed in a recent work [8], within the framework of an interacting multi-agent system, where agents are assumed to interact with each other and…

Probability · Mathematics 2026-01-30 Fei Cao , Roberto Cortez

This paper introduces a heterogeneous multidimensional bounded confidence (BC) opinion dynamics with random pairwise interactions, whereby each pair of agents accesses each other's opinions with a specific probability. This revised model is…

Optimization and Control · Mathematics 2024-12-05 Jiangjiang Cheng , Ge Chen , Wenjun Mei , Francesco Bullo

We investigate an opinion model consisting of a large group of interacting agents, whose opinions are represented as numbers in $[-1,1]$. At each update time, two random agents are selected, and the opinion of the first agent is updated…

Probability · Mathematics 2024-08-06 Fei Cao , Roberto Cortez

We present results on simulations of a stock market with heterogeneous, cumulative information setup. We find a non-monotonic behaviour of traders' returns as a function of their information level. Particularly, the average informed agents…

Trading and Market Microstructure · Quantitative Finance 2008-12-02 Bence Toth , Enrico Scalas

Large language models (LLMs) have become common decision-support tools across educational and professional contexts, raising questions about how their outputs shape human critical thinking. Prior work suggests that the amount of AI…

Artificial Intelligence · Computer Science 2026-03-10 Natalie Friedman , Adelaide Nyanyo , Kevin Weatherwax , Lifei Wang , Chengchao Zhu , Zeshu Zhu , S. Joy Mountford

Microblogs have become a social platform for people to express their emotions in real-time, and it is a trend to analyze user emotional tendencies from the information on Microblogs. The dynamic features of emojis can affect the sentiment…

Computation and Language · Computer Science 2022-06-27 Deng Yang , Liu Kejian , Yang Cheng , Feng Yuanyuan , Li Weihao

We introduce a utility-driven bounded-confidence model of opinion dynamics in which opinions associated with higher utility exert stronger social influence. In the regime where all agents belong to a single opinion cluster, we derive a…

Adaptation and Self-Organizing Systems · Physics 2026-05-22 Alex Siebenmorgen , Juan G. Restrepo

Large language models improve with scale, yet feedback-based alignment still exhibits systematic deviations from intended behavior. Motivated by bounded rationality in economics and cognitive science, we view judgment as resource-limited…

Machine Learning · Computer Science 2025-09-22 Wenjun Cao

Consensus decision-making in social groups strongly depends on communication links that determine to whom individuals send, and from whom they receive, information. Here, we ask how consensus decisions are affected by strategic updating of…

We propose an approach to estimate how individuals' expectations influence their responses to a counterfactual change. The approach relies on average partial effects, which recover counterfactual impacts under conditions that we specify. We…

Econometrics · Economics 2026-05-21 Stephane Bonhomme , Angela Denis
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