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The ability of a society to make the right decisions on relevant matters relies on its capability to properly aggregate the noisy information spread across the individuals it is made of. In this paper we study the information aggregation…

Physics and Society · Physics 2015-06-16 Giacomo Livan , Matteo Marsili

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

Common sense suggests that when individuals explain why they believe something, we can arrive at more accurate conclusions than when they simply state what they believe. Yet, there is no known mechanism that provides incentives to elicit…

Computer Science and Game Theory · Computer Science 2025-02-20 Siddarth Srinivasan , Ezra Karger , Michiel Bakker , Yiling Chen

We propose a collective opinion formation model with a so-called confirmation bias. The confirmation bias is a psychological effect with which, in the context of opinion formation, an individual in favor of an opinion is prone to…

Physics and Society · Physics 2013-06-24 Ryosuke Nishi , Naoki Masuda

In this study, I present a theoretical social learning model to investigate how confirmation bias affects opinions when agents exchange information over a social network. Hence, besides exchanging opinions with friends, agents observe a…

Theoretical Economics · Economics 2023-02-27 Marcos R. Fernandes

The problem of estimating event truths from conflicting agent opinions in a social network is investigated. An autoencoder learns the complex relationships between event truths, agent reliabilities and agent observations. A Bayesian network…

Machine Learning · Computer Science 2021-01-26 Jielong Yang , Wee Peng Tay

Interest in how democracies form consensus has increased recently, with statistical physics and economics approaches both suggesting that there is convergence to a fixed point in belief networks, but with fluctuations in opinions when there…

Biological Physics · Physics 2024-05-30 Emily Dong , Sarah Marzen

The DeGroot model of naive social learning assumes that agents only communicate scalar opinions. In practice, agents communicate not only their opinions, but their confidence in such opinions. We propose a model that captures this aspect of…

Social and Information Networks · Computer Science 2020-11-10 Jerry Anunrojwong , Nat Sothanaphan

We present a novel methodology for identifying public knowledge and eliminating the biases it creates when aggregating information in small group settings. A two stage mechanism consisting of an information market and a coordination game is…

Statistical Mechanics · Physics 2007-05-23 Kay-Yut Chen , Leslie R. Fine , Bernardo A. Huberman

We study the informational efficiency of a market with a single traded asset. The price initially differs from the fundamental value, about which the agents have noisy private information (which is, on average, correct). A fraction of…

Trading and Market Microstructure · Quantitative Finance 2014-01-10 Gani Aldashev , Timoteo Carletti , Simone Righi

Contemporary scientific research is a distributed, collaborative endeavor, carried out by teams of researchers, regulatory institutions, funding agencies, commercial partners, and scientific bodies, all interacting with each other and…

Methodology · Statistics 2024-02-09 Stephen Bates , Michael I. Jordan , Michael Sklar , Jake A. Soloff

Prediction markets are powerful tools to elicit and aggregate beliefs from strategic agents. However, in current prediction markets, agents may exhaust the social welfare by competing to be the first to update the market. We initiate the…

Computer Science and Game Theory · Computer Science 2021-03-09 Grant Schoenebeck , Chenkai Yu , Fang-Yi Yu

We consider the problem of belief aggregation: given a group of individual agents with probabilistic beliefs over a set of uncertain events, formulate a sensible consensus or aggregate probability distribution over these events. Researchers…

Artificial Intelligence · Computer Science 2013-02-08 David M. Pennock , Michael P. Wellman

The formation of agents' opinions in a social system is the result of an intricate equilibrium among several driving forces. On the one hand, the social pressure exerted by peers favours the emergence of local consensus. On the other hand,…

Physics and Society · Physics 2017-04-18 Federico Battiston , Andrea Cairoli , Vincenzo Nicosia , Adrian Baule , Vito Latora

Prediction markets are widely treated as forecasting devices that reveal collective expectations about uncertain futures. This article argues that under specifiable conditions they also function as coordination mechanisms: public…

General Economics · Economics 2026-04-29 Maksym Nechepurenko

This paper concerns sequential hypothesis testing in competitive multi-agent systems where agents exchange potentially manipulated information. Specifically, a two-agent scenario is studied where each agent aims to correctly infer the true…

Systems and Control · Electrical Eng. & Systems 2025-04-04 Aneesh Raghavan , M. Umar B. Niazi , Karl H. Johansson

We develop a model of opinion dynamics where agents in a social network seek to learn a ground truth among a set of competing hypotheses. Agents in the network form private beliefs about such hypotheses by aggregating their neighbors'…

Physics and Society · Physics 2023-07-26 Diana Riazi , Giacomo Livan

Suppose we need a deep collective analysis of an open scientific problem: there is a complex scientific hypothesis and a large online group of mutually unrelated experts with relevant private information of a diverse and unpredictable…

Computer Science and Game Theory · Computer Science 2026-01-27 Alexey V. Osipov , Nikolay N. Osipov

We study the merging and the testing of opinions in the context of a prediction model. In the absence of incentive problems, opinions can be tested and rejected, regardless of whether or not data produces consensus among Bayesian agents. In…

Statistics Theory · Mathematics 2014-05-30 Luciano Pomatto , Nabil Al-Najjar , Alvaro Sandroni

For a setting in which a large number of asymmetrically informed agents are randomly matched into groups over time, exchanging their information with each other when matched, we provide an explicit solution for the dynamics of the…

Probability · Mathematics 2008-11-20 Darrell Duffie , Gaston Giroux , Gustavo Manso