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Related papers: Opinion Dynamics Steering using Stochastic Search

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Distribution shifts have long been regarded as troublesome external forces that a decision-maker should either counteract or conform to. An intriguing feedback phenomenon termed decision dependence arises when the deployed decision affects…

Optimization and Control · Mathematics 2025-03-11 Zhiyu He , Saverio Bolognani , Florian Dörfler , Michael Muehlebach

Opinion Dynamics lacks a theoretical basis. In this article, I propose to use a decision-theoretic framework, based on the updating of subjective probabilities, as that basis. We will see we get a basic tool for a better understanding of…

Physics and Society · Physics 2012-11-21 Andre C. R. Martins

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

In this paper, we conduct a literature review of laws of motion based on stochastic search strategies which are mainly focused on exploring highly dynamic environments. In this regard, stochastic search strategies represent an interesting…

The coordinated and efficient distribution of limited resources by individual decisions is a fundamental, unsolved problem. When individuals compete for road capacities, time, space, money, goods, etc., they normally make decisions based on…

Statistical Mechanics · Physics 2009-11-07 Dirk Helbing , Martin Schoenhof , Daniel Kern

In this paper we consider the modeling of opinion dynamics over time dependent large scale networks. A kinetic description of the agents' distribution over the evolving network is considered which combines an opinion update based on binary…

Numerical Analysis · Mathematics 2016-04-05 Giacomo Albi , Lorenzo Pareschi , Mattia Zanella

Recommendation systems are used in a range of platforms to maximize user engagement through personalization and the promotion of popular content. It has been found that such recommendations may shape users' opinions over time. In this…

Computer Science and Game Theory · Computer Science 2025-08-20 Atefeh Mollabagher , Parinaz Naghizadeh

This paper considers simulation-based optimization of the performance of a regime-switching stochastic system over a finite set of feasible configurations. Inspired by the stochastic fictitious play learning rules in game theory, we propose…

Optimization and Control · Mathematics 2016-11-18 Omid Namvar Gharehshiran , Vikram Krishnamurthy , George Yin

Stochastic optimization problems often involve data distributions that change in reaction to the decision variables. This is the case for example when members of the population respond to a deployed classifier by manipulating their features…

Optimization and Control · Mathematics 2020-12-15 Dmitriy Drusvyatskiy , Lin Xiao

We study a stochastic model for the diffusion of competing opinions in a population composed of three types of agents: trend-followers, opposers, and indifferent individuals. The decision dynamics are driven by reinforcement mechanisms,…

Probability · Mathematics 2025-06-24 Manuel González-Navarrete

Accurate modeling of opinion dynamics has the potential to help us understand polarization and what makes effective political discourse possible or impossible. Here, we use physics-based methods to model the evolution of political opinions…

Physics and Society · Physics 2020-10-07 David Sabin-Miller , Daniel M. Abrams

This paper introduces a class of non-linear and continuous-time opinion dynamics model with additive noise and state dependent interaction rates between agents. The model features interaction rates which are proportional to a negative power…

Probability · Mathematics 2020-12-15 Jae Oh Woo , François Baccelli , Sriram Vishwanath

Recently, there is a surge of interest in using point processes to model continuous-time user activities. This framework has resulted in novel models and improved performance in diverse applications. However, most previous works focus on…

Social and Information Networks · Computer Science 2018-05-23 Yichen Wang , Evangelos Theodorou , Apurv Verma , Le Song

This paper addresses the problem of adaptively controlling the bias parameter in nonlinear opinion dynamics (NOD) to allocate agents into groups of arbitrary sizes for the purpose of maximizing collective rewards. In previous work, an…

Systems and Control · Electrical Eng. & Systems 2024-12-19 Tyler M. Paine , Anastasia Bizyaeva , Michael R. Benjamin

This paper deals with the question of how to most effectively conduct experiments in Partially Observed Markov Decision Processes so as to provide data that is most informative about a parameter of interest. Methods from Markov decision…

Other Statistics · Statistics 2018-01-31 Leifur Thorbergsson , Giles Hooker

In this era of fast and large-scale opinion formation, a mathematical understanding of opinion evolution, a.k.a. opinion dynamics, is especially important. Linear graph-based dynamics and bounded confidence dynamics are the two most popular…

Social and Information Networks · Computer Science 2021-12-09 Sushmitha Shree S , Kishore G , Avhishek Chatterjee , Krishna Jagannathan

A long line of work in social psychology has studied variations in people's susceptibility to persuasion -- the extent to which they are willing to modify their opinions on a topic. This body of literature suggests an interesting…

Social and Information Networks · Computer Science 2020-11-06 Rediet Abebe , T-H. Hubert Chan , Jon Kleinberg , Zhibin Liang , David Parkes , Mauro Sozio , Charalampos E. Tsourakakis

Opinion dynamics is of paramount importance as it provides insights into the complex dynamics of opinion propagation and social relationship adjustment. It is assumed in most of the previous works that social relationships evolve much…

Physics and Society · Physics 2024-04-05 Xunlong Wang , Bin Wu

This research considers the ranking and selection with input uncertainty. The objective is to maximize the posterior probability of correctly selecting the best alternative under a fixed simulation budget, where each alternative is measured…

Optimization and Control · Mathematics 2023-05-15 Hui Xiao , Zhihong Wei

In performative prediction, the choice of a model influences the distribution of future data, typically through actions taken based on the model's predictions. We initiate the study of stochastic optimization for performative prediction.…

Machine Learning · Computer Science 2021-02-22 Celestine Mendler-Dünner , Juan C. Perdomo , Tijana Zrnic , Moritz Hardt
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