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It has been shown that one can accommodate data (Bayes) and constraints (MaxEnt) in one method, the method of Maximum (relative) Entropy (ME) (Giffin 2007). In this paper we show a complex agent based example of inference with two different…

Methodology · Statistics 2016-09-08 Adom Giffin

We analyze a model of learning and belief formation in networks in which agents follow Bayes rule yet they do not recall their history of past observations and cannot reason about how other agents' beliefs are formed. They do so by making…

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

Prediction markets are often used as mechanisms to aggregate information about a future event, for example, whether a candidate will win an election. The event is typically assumed to be exogenous. In reality, participants may influence the…

Computer Science and Game Theory · Computer Science 2014-07-28 Mithun Chakraborty , Sanmay Das

We study a sequential social learning model in which there is uncertainty about the informativeness of a common signal-generating process. Rational agents arrive in order and make decisions based on the past actions of others and their…

Theoretical Economics · Economics 2025-07-01 Wanying Huang

This paper introduces an information theoretic co-training objective for unsupervised learning. We consider the problem of predicting the future. Rather than predict future sensations (image pixels or sound waves) we predict "hypotheses" to…

Machine Learning · Computer Science 2018-08-15 David McAllester

Convenient access to observational data enables us to learn causal effects without randomized experiments. This research direction draws increasing attention in research areas such as economics, healthcare, and education. For example, we…

Social and Information Networks · Computer Science 2019-12-03 Ruocheng Guo , Jundong Li , Huan Liu

Although both data availability and the demand for accurate forecasts are increasing, collaboration between stakeholders is often constrained by data ownership and competitive interests. In contrast to recent proposals within cooperative…

Machine Learning · Computer Science 2026-05-14 Michael Vitali , Pierre Pinson

We compare how well agents aggregate information in two repeated social learning environments. In the first setting agents have access to a public data set. In the second they have access to the same data, and also to the past actions of…

Theoretical Economics · Economics 2026-05-20 Marina Agranov , Gabriel Lopez-Moctezuma , Philipp Strack , Omer Tamuz

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

In coordination games and speculative over-the-counter financial markets, solutions depend on higher-order average expectations: agents' expectations about what counterparties, on average, expect their counterparties to think, etc. We offer…

Theoretical Economics · Economics 2020-09-30 Benjamin Golub , Stephen Morris

A continuous-opinion model accounting for the social compromise propensity is theoretically and numerically analysed. An agent's opinion is represented by a real number that can be changed through social interactions with her neighbours.…

Physics and Society · Physics 2025-10-09 Carlos Uriarte , Pablo Rodriguez-Lopez , Nagi Khalil

Providing opinions through labeling of images, tweets, etc. have drawn immense interest in crowdsourcing markets. This invokes a major challenge of aggregating multiple opinions received from different crowd workers for deriving the final…

Human-Computer Interaction · Computer Science 2016-09-16 Sujoy Chatterjee , Anirban Mukhopadhyay , Malay Bhattacharyya

To what extent can an external observer observing an equilibrium action distribution in an incomplete information game infer the underlying information structure? We investigate this issue in a general linear-quadratic-Gaussian framework. A…

Theoretical Economics · Economics 2024-03-19 Masaki Miyashita

Agents receive private signals about an unknown state. The resulting joint belief distributions are complex and lack a simple characterization. Our key insight is that, when conditioned on the state, the structure of belief distributions…

Theoretical Economics · Economics 2024-11-19 Itai Arieli , Yakov Babichenko , Fedor Sandomirskiy

We study a dynamical Ising model of agents' opinions (buy or sell) with coupling coefficients reassessed continuously in time according to how past external news (magnetic field) have explained realized market returns. By combining herding,…

Physics and Society · Physics 2008-12-02 Wei-Xing Zhou , Didier Sornette

This paper presents a distributed communication model to investigate multistable perception, where a stimulus gives rise to multiple competing perceptual interpretations. We formalize stable perception as consensus achieved through…

Computer Science and Game Theory · Computer Science 2023-10-19 Yuqing Kong

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

Conjoint experiments have become central to survey research in political science and related fields because they allow researchers to study preferences across multiple attributes simultaneously. Beyond estimating main effects, scholars…

Methodology · Statistics 2025-10-03 Steven Wang , Isys Johnson , Jessica Grogan , Lalit Jain , Atri Rudra , Kyle Hunt , Kenneth Joseph

A broad set of empirical phenomenon in the study of social, economic and machine behaviour can be modelled as complex systems with averaging dynamics. However many of these models naturally result in consensus or consensus-like outcomes. In…

Multiagent Systems · Computer Science 2020-07-03 Orowa Sikder

Collective action and group formation are fundamental behaviors among both organisms cooperating to maximize their fitness, and people forming socioeconomic organizations. Researchers have extensively explored social interaction structures…

Physics and Society · Physics 2023-11-09 Jordan T Kemp , Adam G Kline , Luís MA Bettencourt