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Many decision problems cannot be solved exactly and use several estimation algorithms that assign scores to the different available options. The estimation errors can have various correlations, from low (e.g. between two very different…

Machine Learning · Computer Science 2023-09-06 Theo Delemazure , François Durand , Fabien Mathieu

We propose a new belief update rule for Distributed Non-Bayesian learning in time-varying directed graphs, where a group of agents tries to collectively identify a hypothesis that best describes a sequence of observed data. We show that the…

Optimization and Control · Mathematics 2015-09-30 Angelia Nedić , Alex Olshevsky , César A. Uribe

We study a model of opinion exchange in social networks where a state of the world is realized and every agent receives a zero-mean noisy signal of the realized state. It is known from [Golub and Jackson 2010] that under DeGroot dynamics…

Probability · Mathematics 2024-01-30 Gideon Amir , Itai Arieli , Galit Ashkenazi-Golan , Ron Peretz

Following the Bayesian communication learning paradigm, we propose a finite population learning concept to capture the level of information aggregation in any given network, where agents are allowed to communicate with neighbors repeatedly…

Social and Information Networks · Computer Science 2012-12-13 Jianqing Fan , Xin Tong , Yao Zeng

We study opinion dynamics in a population of interacting adaptive agents voting on a set of complex multidimensional issues. We consider agents which can classify issues into for or against. The agents arrive at the opinions about each…

Physics and Society · Physics 2009-03-11 Renato Vicente , Andre C. R. Martins , Nestor Caticha

We study a model of consensus decision making, in which a finite group of Bayesian agents has to choose between one of two courses of action. Each member of the group has a private and independent signal at his or her disposal, giving some…

Statistics Theory · Mathematics 2018-04-24 Elchanan Mossel , Omer Tamuz

Prediction polling is an increasingly popular form of crowdsourcing in which multiple participants estimate the probability or magnitude of some future event. These estimates are then aggregated into a single forecast. Historically,…

Methodology · Statistics 2016-04-25 Ville A. Satopää , Shane T. Jensen , Robin Pemantle , Lyle H. Ungar

When individuals in a social network learn about an unknown state from private signals and neighbors' actions, the network structure often causes information loss. We consider rational agents and Gaussian signals in the canonical sequential…

Theoretical Economics · Economics 2026-02-20 Krishna Dasaratha , Kevin He

We model the communication of narratives as a cheap-talk game under model uncertainty. The sender has private information about the true data generating process of publicly observable data. The receiver is uncertain about how to interpret…

Theoretical Economics · Economics 2025-07-09 Gerrit Bauch , Manuel Foerster

Crowdsourcing is a mechanism by means of which groups of people are able to execute a task by sharing ideas, efforts and resources. Thanks to the online technologies, crowdsourcing has become in the last decade an even more utilized process…

Physics and Society · Physics 2022-03-16 Daniele Vilone

In order to improve forecasts, a decisionmaker often combines probabilities given by various sources, such as human experts and machine learning classifiers. When few training data are available, aggregation can be improved by incorporating…

Machine Learning · Computer Science 2012-07-19 Joseph Kahn

Non-Bayesian social learning enables multiple agents to conduct networked signal and information processing through observing environmental signals and information aggregating. Traditional non-Bayesian social learning models only consider…

Social and Information Networks · Computer Science 2024-07-31 Dongyan Sui , Weichen Cao , Stefan Vlaski , Chun Guan , Siyang Leng

Aiming at the group decision - making problem with multi - objective attributes, this study proposes a group decision - making system that integrates fuzzy inference and Bayesian network. A fuzzy rule base is constructed by combining…

Artificial Intelligence · Computer Science 2025-05-01 Shui-jin Rong , Wei Guo , Da-qing Zhang

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

On the Web, there is always a need to aggregate opinions from the crowd (as in posts, social networks, forums, etc.). Different mechanisms have been implemented to capture these opinions such as "Like" in Facebook, "Favorite" in Twitter,…

Artificial Intelligence · Computer Science 2017-06-20 Edmond Awad , Jean-François Bonnefon , Martin Caminada , Thomas Malone , Iyad Rahwan

We consider the problem of identifying the most influential nodes for a spreading process on a network when prior knowledge about structure and dynamics of the system is incomplete or erroneous. Specifically, we perform a numerical analysis…

Physics and Society · Physics 2018-10-09 Şirag Erkol , Ali Faqeeh , Filippo Radicchi

Finding the optimal subset of individuals to observe in order to obtain the best estimate of the average opinion of a society is a crucial problem in a wide range of applications, including policy-making, strategic business decisions, and…

Optimization and Control · Mathematics 2025-11-04 Roberta Raineri , Giacomo Como , Fabio Fagnani

We consider how to connect a set of disjoint networks to optimize the performance of the resulting composite network. We quantify this performance by the coherence of the composite network, which is defined by an $H_2$ norm of the system.…

Optimization and Control · Mathematics 2017-04-11 Erika Mackin , Stacy Patterson

We study the dynamics of opinions in a setting where a leader has a payoff that depends on agents' beliefs and where agents derive psychological utility from their beliefs. Agents sample a signal that maximises their utility and then…

Theoretical Economics · Economics 2024-01-17 Houda Nait El Barj , Theophile Sautory

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