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In the sequential learning problem, agents in a network attempt to predict a binary ground truth, informed by both a noisy private signal and the predictions of neighboring agents before them. It is well known that social learning in this…

Social and Information Networks · Computer Science 2026-02-10 William Guo , Edward Xiong , Jie Gao

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 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

It is well understood that the structure of a social network is critical to whether or not agents can aggregate information correctly. In this paper, we study social networks that support information aggregation when rational agents act…

Theoretical Economics · Economics 2020-11-11 Itai Arieli , Fedor Sandomirskiy , Rann Smorodinsky

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 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

Graph symmetries intervene in diverse applications, from enumeration, to graph structure compression, to the discovery of graph dynamics (e.g., node arrival order inference). Whereas Erd\H{o}s-R\'enyi graphs are typically asymmetric, real…

Probability · Mathematics 2018-12-27 Tomasz Luczak , Abram Magner , Wojciech Szpankowski

Sequential learning models situations where agents predict a ground truth in sequence, by using their private, noisy measurements, and the predictions of agents who came earlier in the sequence. We study sequential learning in a social…

Social and Information Networks · Computer Science 2025-02-19 Filip Úradník , Amanda Wang , Jie Gao

In this paper we study the problem of social learning under multiple true hypotheses and self-interested agents which exchange information over a graph. In this setup, each agent receives data that might be generated from a different…

Multiagent Systems · Computer Science 2021-10-27 Konstantinos Ntemos , Virginia Bordignon , Stefan Vlaski , Ali H. Sayed

We study the asymptotic properties of distributed consensus algorithms over switching directed random networks. More specifically, we focus on consensus algorithms over independent and identically distributed, directed random graphs, where…

Multiagent Systems · Computer Science 2010-04-21 Victor M. Preciado , Alireza Tahbaz-Salehi , Ali Jadbabaie

We consider a group of strategic agents who must each repeatedly take one of two possible actions. They learn which of the two actions is preferable from initial private signals, and by observing the actions of their neighbors in a social…

Computer Science and Game Theory · Computer Science 2018-07-27 Elchanan Mossel , Allan Sly , Omer Tamuz

In this paper, we study the asymptotic properties of distributed consensus algorithms over switching directed random networks. More specifically, we focus on consensus algorithms over independent and identically distributed, directed…

Multiagent Systems · Computer Science 2009-10-21 Victor M. Preciado , Alireza Tahbaz-Salehi , Ali Jadbabaie

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

This paper addresses the problem of distributed learning of average belief with sequential observations, in which a network of $n>1$ agents aim to reach a consensus on the average value of their beliefs, by exchanging information only with…

Multiagent Systems · Computer Science 2018-11-20 Kaiqing Zhang , Yang Liu , Ji Liu , Mingyan Liu , Tamer Başar

This paper provides time-dependent expressions for the expected degree distribution of a given network that is subject to growth, as a function of time. We consider both uniform attachment, where incoming nodes form links to existing nodes…

Statistical Mechanics · Physics 2013-12-16 Babak Fotouhi , Michael G. Rabbat

Social sampling is a novel randomized message passing protocol inspired by social communication for opinion formation in social networks. In a typical social sampling algorithm, each agent holds a sample from the empirical distribution of…

Systems and Control · Electrical Eng. & Systems 2024-12-20 Qian Liu , Xingkang He , Haitao Fang

I study the problem of social learning in a model where agents move sequentially. Each agent receives a private signal about the underlying state of the world, observes the past actions in a neighborhood of individuals, and chooses her…

Social and Information Networks · Computer Science 2016-05-12 Yangbo Song

Although asymptotic analyses of undirected network models based on degree sequences have started to appear in recent literature, it remains an open problem to study statistical properties of directed network models. In this paper, we…

Statistics Theory · Mathematics 2016-01-13 Ting Yan , Chenlei Leng , Ji Zhu

We study a social learning scheme where at every time instant, each agent chooses to receive information from one of its neighbors at random. We show that under this sparser communication scheme, the agents learn the truth eventually and…

Multiagent Systems · Computer Science 2022-05-13 Yunus Inan , Mert Kayaalp , Emre Telatar , Ali H. Sayed

We propose a model of network formation based on reinforcement learning, which can be seen as a generalization as the one proposed by Skyrms for signaling games. On a discrete graph, whose vertices represent individuals, at any time step…

Probability · Mathematics 2016-02-08 Daniel Kious , Pierre Tarrès
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