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Related papers: A Bayesian framework for opinion dynamics models

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We study a model for continuous-opinion dynamics under bounded confidence. In particular, we analyze the importance of the initial distribution of opinions in determining the asymptotic configuration. Thus, we sketch the structure of…

Physics and Society · Physics 2016-02-23 Adrian Carro , Raul Toral , Maxi San Miguel

Much is now known about the consistency of Bayesian updating on infinite-dimensional parameter spaces with independent or Markovian data. Necessary conditions for consistency include the prior putting enough weight on the correct…

Statistics Theory · Mathematics 2022-03-18 Cosma Rohilla Shalizi

We propose the multidimensional social compass model, based on two competing key ingredients: DeGroot learning, driven by the social influence exerted across multiple topics, and the preference of individuals to maintain their initial…

Physics and Society · Physics 2025-03-05 Jaume Ojer , Michele Starnini , Romualdo Pastor-Satorras

We propose new Degroot-type social learning models with feedback in a continuous time, to investigate the effect of a noisy information source on consensus formation in a social network. Unlike the standard Degroot framework, noisy…

Physics and Society · Physics 2022-03-02 Tushar Vaidya , Thiparat Chotibut , Georgios Piliouras

This paper proposes a theory of stock market predictability patterns based on a model of heterogeneous beliefs. In a discrete finite time framework, some agents receive news about an asset's fundamental value through a noisy signal. The…

Pricing of Securities · Quantitative Finance 2024-06-13 Jiho Park

We introduce a distributed, cooperative framework and method for Bayesian estimation and control in decentralized agent networks. Our framework combines joint estimation of time-varying global and local states with information-seeking…

Systems and Control · Computer Science 2015-09-24 Florian Meyer , Henk Wymeersch , Markus Fröhle , Franz Hlawatsch

In the model for continuous opinion dynamics introduced by Hegselmann and Krause, each individual moves to the average opinion of all individuals within an area of confidence. In this work we study the effects of noise in this system. With…

Physics and Society · Physics 2014-01-24 Miguel Pineda , Raul Toral , Emilio Hernandez-Garcia

This article contributes in four ways to the research on time-discrete continuous opinion dynamics with compromising agents. First, communication regimes are introduced as an elementary concept of opinion dynamic models. Second, we develop…

Physics and Society · Physics 2007-08-27 Diemo Urbig , Jan Lorenz

Prediction is a central task of statistics and machine learning, yet many inferential settings provide only partial information, typically in the form of moment constraints or estimating equations. We develop a finite, fully Bayesian…

Statistics Theory · Mathematics 2026-03-20 Nicholas G. Polson , Daniel Zantedeschi

We propose a framework for probability aggregation based on propositional probability logic. Unlike conventional judgment aggregation, which focuses on static rationality, our model addresses dynamic rationality by ensuring that collective…

Artificial Intelligence · Computer Science 2025-08-27 Polina Gordienko , Christoph Jansen , Thomas Augustin , Martin Rechenauer

We develop a hierarchical Bayesian dynamic game for competitive inventory and pricing under incomplete information. Two firms repeatedly choose order quantities and prices while facing two layers of uncertainty: unknown market demand and…

Methodology · Statistics 2026-03-09 Debashis Chatterjee

Models of the convergence of opinion in social systems have been the subject of a considerable amount of recent attention in the physics literature. These models divide into two classes, those in which individuals form their beliefs based…

Physics and Society · Physics 2007-05-23 Petter Holme , M. E. J. Newman

We study an endogenous opinion (or, belief) dynamics model where we endogenize the social network that models the link (`trust') weights between agents. Our network adjustment mechanism is simple: an agent increases her weight for another…

Social and Information Networks · Computer Science 2013-09-17 Steffen Eger

Mathematical models of cognition are often memoryless and ignore potential fluctuations of their parameters. However, human cognition is inherently dynamic. Thus, we propose to augment mechanistic cognitive models with a temporal dimension…

The effects of interpersonal interactions on individual's agreements result in a social aggregation process which is reflected in the formation of collective states, as for instance, groups of individuals with a similar opinion about a…

Physics and Society · Physics 2017-02-08 Pablo Balenzuela , Juan Pablo Pinasco , Viktoriya Semeshenko

Many models have been proposed to analyze the evolution of opinion structure due to the interaction of individuals in their social environment. Such models analyze the spreading of ideas both in completely interacting backgrounds and on…

Physics and Society · Physics 2015-03-13 F. Gargiulo , S. Huet

Experiments on decision making under uncertainty are known to display a classical pattern of risk aversion and risk seeking referred to as "fourfold pattern" (or "reflection effect") , but recent experiments varying the speed and order of…

Neurons and Cognition · Quantitative Biology 2024-01-17 Francesco Fumarola , Lukasz Kusmierz , Ronald B. Dekker

Perceptual judgments of sequential stimuli are systematically biased by prior expectations and by the temporal structure of sensory input. In haptic discrimination tasks, these effects often manifest as time-order asymmetries, whereby the…

Neurons and Cognition · Quantitative Biology 2026-04-22 Gastón Avetta , Jose Lobera , Juan José Zárate , Inés Samengo , Damián G. Hernández

Public discourse and opinions stem from multiple social groups. Each group has beliefs about a topic (such as vaccination, abortion, gay marriage, etc.), and opinions are exchanged and blended to produce consensus. A particular measure of…

Social and Information Networks · Computer Science 2025-04-11 Marios Papachristou , Jon Kleinberg

Opinion dynamics of a group of individuals is the change in the members' opinions through mutual interaction with each other. The related literature contains works in which the dynamics is modeled as a continuous system, of which behavioral…

Dynamical Systems · Mathematics 2018-01-01 F. Ataş , A. Demirci , C. Özemir