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We prove a central limit theorem for network formation models with strategic interactions and homophilous agents. Since data often consists of observations on a single large network, we consider an asymptotic framework in which the network…

Econometrics · Economics 2026-03-11 Michael P. Leung , Hyungsik Roger Moon

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

Can classical consensus models predict the group behavior of large language models (LLMs)? We examine multi-round interactions among LLM agents through the DeGroot framework, where agents exchange text-based messages over diverse…

Social and Information Networks · Computer Science 2026-01-30 Iris Yazici , Mert Kayaalp , Stefan Taga , Ali H. Sayed

We analyze boundedly rational updating from aggregate statistics in a model with binary actions and binary states. Agents each take an irreversible action in sequence after observing the unordered set of previous actions. Each agent first…

Machine Learning · Computer Science 2021-01-11 Itai Arieli , Yakov Babichenko , Manuel Mueller-Frank

A protocol for distributed estimation of discrete distributions is proposed. Each agent begins with a single sample from the distribution, and the goal is to learn the empirical distribution of the samples. The protocol is based on a simple…

Optimization and Control · Mathematics 2014-06-06 Anand D. Sarwate , Tara Javidi

Non-Bayesian social learning theory provides a framework for distributed inference of a group of agents interacting over a social network by sequentially communicating and updating beliefs about the unknown state of the world through…

Methodology · Statistics 2019-10-25 James Z. Hare , Cesar Uribe , Lance Kaplan , Ali Jadbabaie

Previous research on organizations often focuses on either the individual, team, or organizational level. There is a lack of multidimensional research on emergent phenomena and interactions between the mechanisms at different levels. This…

General Economics · Economics 2022-03-18 Dario Blanco-Fernandez , Stephan Leitner , Alexandra Rausch

The efficient exchange of information is an essential aspect of intelligent collective behavior. Event-triggered control and estimation achieve some efficiency by replacing continuous data exchange between agents with intermittent, or…

Systems and Control · Computer Science 2020-04-30 Friedrich Solowjow , Sebastian Trimpe

We consider a scenario where an artificial agent is reading a stream of text composed of a set of narrations, and it is informed about the identity of some of the individuals that are mentioned in the text portion that is currently being…

Computation and Language · Computer Science 2020-04-29 Marco Maggini , Giuseppe Marra , Stefano Melacci , Andrea Zugarini

The adaptive social learning paradigm helps model how networked agents are able to form opinions on a state of nature and track its drifts in a changing environment. In this framework, the agents repeatedly update their beliefs based on…

Social and Information Networks · Computer Science 2023-03-15 Valentina Shumovskaia , Mert Kayaalp , Mert Cemri , Ali H. Sayed

We study a tandem of agents who make decisions about an underlying binary hypothesis, where the distribution of the agent observations under each hypothesis comes from an uncertainty class. We investigate both decentralized detection rules,…

Information Theory · Computer Science 2015-10-28 Jack Ho , Wee Peng Tay , Tony Q. S. Quek , Edwin K. P. Chong

A common assumption in the social learning literature is that agents exchange information in an unselfish manner. In this work, we consider the scenario where a subset of agents aims at driving the network beliefs to the wrong hypothesis.…

Systems and Control · Electrical Eng. & Systems 2021-03-30 Konstantinos Ntemos , Virginia Bordignon , Stefan Vlaski , Ali H. Sayed

We consider a group of agents who can each take an irreversible costly action whose payoff depends on an unknown state. Agents learn about the state from private signals, as well as from past actions of their social network neighbors, which…

Theoretical Economics · Economics 2024-12-11 Wade Hann-Caruthers , Minghao Pan , Omer Tamuz

We study the roles of social and individual learning on outcomes of the Minority Game model of a financial market. Social learning occurs via agents adopting the strategies of their neighbours within a social network, while individual…

Physics and Society · Physics 2024-03-05 Bryce Morsky , Fuwei Zhuang , Zuojun Zhou

We consider a distributed learning setup where a network of agents sequentially access realizations of a set of random variables with unknown distributions. The network objective is to find a parametrized distribution that best describes…

Optimization and Control · Mathematics 2016-05-10 Angelia Nedić , Alex Olshevsky , César Uribe

In most social and information systems the activity of agents generates rapidly evolving time-varying networks. The temporal variation in networks' connectivity patterns and the ongoing dynamic processes are usually coupled in ways that…

Physics and Society · Physics 2014-02-18 Márton Karsai , Nicola Perra , Alessandro Vespignani

We consider model social networks in which information propagates directionally across layers of rational agents. Each agent makes a locally optimal estimate of the state of the world, and communicates this estimate to agents downstream.…

Methodology · Statistics 2017-09-22 Simon Stolarczyk , Manisha Bhardwaj , Kevin E. Bassler , Wei Ji Ma , Kresimir Josic

This work studies the learning process over social networks under partial and random information sharing. In traditional social learning models, agents exchange full belief information with each other while trying to infer the true state of…

Signal Processing · Electrical Eng. & Systems 2023-12-27 Mert Kayaalp , Virginia Bordignon , Ali H. Sayed

In this paper we study a novel model of opinion dynamics in social networks, which has two main features. First, agents asynchronously interact in pairs, and these pairs are chosen according to a random process. We refer to this…

Systems and Control · Computer Science 2013-04-09 Paolo Frasca , Chiara Ravazzi , Roberto Tempo , Hideaki Ishii

We present a modeling framework for dynamical and bursty contact networks made of agents in social interaction. We consider agents' behavior at short time scales, in which the contact network is formed by disconnected cliques of different…

Physics and Society · Physics 2010-03-09 Juliette Stehle , Alain Barrat , Ginestra Bianconi