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Understanding information exchange and aggregation on networks is a central problem in theoretical economics, probability and statistics. We study a standard model of economic agents on the nodes of a social network graph who learn a binary…

Probability · Mathematics 2014-05-01 Elchanan Mossel , Allan Sly , Omer Tamuz

We consider a network of agents that aim to learn some unknown state of the world using private observations and exchange of beliefs. At each time, agents observe private signals generated based on the true unknown state. Each agent might…

Systems and Control · Computer Science 2015-09-16 Mohammad Amin Rahimian , Shahin Shahrampour , Ali Jadbabaie

We study non-Bayesian social learning on random directed graphs and show that under mild connectivity assumptions, all the agents almost surely learn the true state of the world asymptotically in time if the sequence of the associated…

Optimization and Control · Mathematics 2021-08-02 Rohit Parasnis , Massimo Franceschetti , Behrouz Touri

We consider an agent who represents uncertainty about the environment via a possibly misspecified model. Each period, the agent takes an action, observes a consequence, and uses Bayes' rule to update her belief about the environment. This…

Theoretical Economics · Economics 2019-10-24 Ignacio Esponda , Demian Pouzo , Yuichi Yamamoto

This work investigates the case of a network of agents that attempt to learn some unknown state of the world amongst the finitely many possibilities. At each time step, agents all receive random, independently distributed private signals…

Applications · Statistics 2016-11-29 M. Amin Rahimian , Ali Jadbabaie

This work studies sequential social learning (also known as Bayesian observational learning), and how private communication can enable agents to avoid herding to the wrong action/state. Starting from the seminal BHW (Bikhchandani,…

Computer Science and Game Theory · Computer Science 2018-11-14 Grant Schoenebeck , Shih-Tang Su , Vijay Subramanian

In the classical herding literature, agents receive a private signal regarding a binary state of nature, and sequentially choose an action, after observing the actions of their predecessors. When the informativeness of private signals is…

Probability · Mathematics 2018-07-27 Wade Hann-Caruthers , Vadim V. Martynov , Omer Tamuz

In the classic herding model, agents receive private signals about an underlying binary state of nature, and act sequentially to choose one of two possible actions, after observing the actions of their predecessors. We investigate what…

Computer Science and Game Theory · Computer Science 2018-02-21 Yu Cheng , Wade Hann-Caruthers , Omer Tamuz

A network of agents attempt to learn some unknown state of the world drawn by nature from a finite set. Agents observe private signals conditioned on the true state, and form beliefs about the unknown state accordingly. Each agent may face…

Machine Learning · Computer Science 2015-03-13 Shahin Shahrampour , Mohammad Amin Rahimian , Ali Jadbabaie

We consider an infinite collection of agents who make decisions, sequentially, about an unknown underlying binary state of the world. Each agent, prior to making a decision, receives an independent private signal whose distribution depends…

Computer Science and Game Theory · Computer Science 2012-09-07 Kimon Drakopoulos , Asuman Ozdaglar , John Tsitsiklis

We study a model of information aggregation and social learning recently proposed by Jadbabaie, Sandroni, and Tahbaz-Salehi, in which individual agents try to learn a correct state of the world by iteratively updating their beliefs using…

Social and Information Networks · Computer Science 2011-03-24 Pooya Molavi , Ali Jadbabaie

Non-Bayesian social learning theory provides a framework that models distributed inference for a group of agents interacting over a social network. In this framework, each agent iteratively forms and communicates beliefs about an unknown…

Artificial Intelligence · Computer Science 2020-08-26 James Z. Hare , Cesar A. Uribe , Lance Kaplan , Ali Jadbabaie

We study a social learning model in which agents iteratively update their beliefs about the true state of the world using private signals and the beliefs of other agents in a non-Bayesian manner. Some agents are stubborn, meaning they…

Social and Information Networks · Computer Science 2022-09-21 Daniel Vial , Vijay Subramanian

We introduce a simple time-triggered protocol to achieve communication-efficient non-Bayesian learning over a network. Specifically, we consider a scenario where a group of agents interact over a graph with the aim of discerning the true…

Systems and Control · Electrical Eng. & Systems 2019-09-05 Aritra Mitra , John A. Richards , Shreyas Sundaram

We analyze the dynamics of the Learning-Without-Recall model with Gaussian priors in a dynamic social network. Agents seeking to learn the state of the world, the "truth", exchange signals about their current beliefs across a changing…

Optimization and Control · Mathematics 2016-09-21 Chu Wang , Bernard Chazelle

We address the problem of reinforcement learning in which observations may exhibit an arbitrary form of stochastic dependence on past observations and actions. The task for an agent is to attain the best possible asymptotic reward where the…

Machine Learning · Computer Science 2007-05-23 Daniil Ryabko , Marcus Hutter

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

Bayesian models of group learning are studied in Economics since the 1970s. and more recently in computational linguistics. The models from Economics postulate that agents maximize utility in their communication and actions. The Economics…

Statistics Theory · Mathematics 2023-08-10 Yash Deshpande , Elchanan Mossel , Youngtak Sohn

We study the problem of distributed hypothesis testing with a network of agents where some agents repeatedly gain access to information about the correct hypothesis. The group objective is to globally agree on a joint hypothesis that best…

Optimization and Control · Mathematics 2015-08-24 Angelia Nedić , Alex Olshevsky , César A. Uribe

We study the problem of non-Bayesian social learning with uncertain models, in which a network of agents seek to cooperatively identify the state of the world based on a sequence of observed signals. In contrast with the existing…

Optimization and Control · Mathematics 2019-09-11 César A. Uribe , James Z. Hare , Lance Kaplan , Ali Jadbabaie
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