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Selection bias arises when the probability that an observation enters a dataset depends on variables related to the quantities of interest, leading to systematic distortions in estimation and uncertainty quantification. For example, in…

Mechanism design is concerned with settings where a policymaker (or social planner) faces the problem of aggregating the announced preferences of multiple agents into a collective (or social), system-wide decision. One of the most important…

Multiagent Systems · Computer Science 2020-03-02 Mohammad Ali Javidian , Pooyan Jamshidi , Marco Valtorta , Rasoul Ramezanian

This paper, which is Part 1 of a two-part paper series, considers a simulation-based inference with learned summary statistics, in which such a learned summary statistic serves as an empirical-likelihood with ameliorative effects in the…

Machine Learning · Statistics 2026-02-02 Getachew K. Befekadu

In this chapter, we consider probabilistic drift-diffusion models and Bayesian inference frameworks to address this issue, assisting better social human decision-making. We provide details of the models, as well as representative numerical…

Physics and Society · Physics 2023-07-13 Thoa Thieu , Roderick Melnik

We develop a Bayesian approach for selecting the model which is the most supported by the data within a class of marginal models for categorical variables formulated through equality and/or inequality constraints on generalised logits…

Statistics Theory · Mathematics 2012-02-21 Francesco Bartolucci , Luisa Scaccia , Alessio Farcomeni

We consider a network scenario in which agents can evaluate each other according to a score graph that models some interactions. The goal is to design a distributed protocol, run by the agents, that allows them to learn their unknown state…

Systems and Control · Computer Science 2018-06-05 Francesco Sasso , Angelo Coluccia , Giuseppe Notarstefano

Conventional preference learning methods often prioritize opinions held more widely when aggregating preferences from multiple evaluators. This may result in policies that are biased in favor of some types of opinions or groups and…

Artificial Intelligence · Computer Science 2026-03-03 Kihyun Kim , Jiawei Zhang , Asuman Ozdaglar , Pablo A. Parrilo

Here we focus on the description of the mechanisms behind the process of information aggregation and decision making, a basic step to understand emergent phenomena in society, such as trends, information spreading or the wisdom of crowds.…

Physics and Society · Physics 2015-04-15 Víctor M. Eguíluz , N. Masuda , J. Fernández-Gracia

We develop the theory and practice of an approach to modelling and probabilistic inference in causal networks that is suitable when application-specific or analysis-specific constraints should inform such inference or when little or no data…

Artificial Intelligence · Computer Science 2017-05-16 Paul Beaumont , Michael Huth

This paper surveys mathematical models, structural results and algorithms in controlled sensing with social learning in social networks. Part 1, namely Bayesian Social Learning with Controlled Sensing addresses the following questions: How…

Signal Processing · Electrical Eng. & Systems 2022-12-29 Vikram Krishnamurthy

This paper studies social system inference from a single trajectory of public evolving opinions, wherein observation noise leads to the statistical dependence of samples on time and coordinates. We first propose a cyber-social system that…

Social and Information Networks · Computer Science 2021-06-30 Yanbing Mao , Naira Hovakimyan , Tarek Abdelzaher , Evangelos Theodorou

Detection rules have traditionally been designed for rational agents that minimize the Bayes risk (average decision cost). With the advent of crowd-sensing systems, there is a need to redesign binary hypothesis testing rules for behavioral…

Artificial Intelligence · Computer Science 2016-10-07 V. Sriram Siddhardh Nadendla , Swastik Brahma , Pramod K. Varshney

The Bayesian paradigm offers principled tools for sequential decision-making under uncertainty, but its reliance on a probabilistic model for all parameters can hinder the incorporation of complex structural constraints. We introduce a…

Machine Learning · Computer Science 2025-10-09 Kaizheng Wang

Decision procedures aggregating the preferences of multiple agents can produce cycles and hence outcomes which have been described heuristically as `chaotic'. We make this description precise by constructing an explicit dynamical system…

Statistical Mechanics · Physics 2009-10-31 David A. Meyer , Thad A. Brown

Stochastic processes offer a flexible mathematical formalism to model and reason about systems. Most analysis tools, however, start from the premises that models are fully specified, so that any parameters controlling the system's dynamics…

Systems and Control · Computer Science 2017-01-11 Luca Bortolussi , Guido Sanguinetti

This work proposes a Bayesian inference method for the reduced-order modeling of time-dependent systems. Informed by the structure of the governing equations, the task of learning a reduced-order model from data is posed as a Bayesian…

Numerical Analysis · Mathematics 2023-01-18 Mengwu Guo , Shane A. McQuarrie , Karen E. Willcox

Social choice theory offers a wealth of approaches for selecting a candidate on behalf of voters based on their reported preference rankings over options. When voters have underlying utilities for these options, however, using preference…

Computer Science and Game Theory · Computer Science 2025-10-24 Luise Ge , Gregory Kehne , Yevgeniy Vorobeychik

In this work we review some recent development in the mathematical modelling of quantitative sociology by means of statistical mechanics. After a short pedagogical introduction to static and dynamic properties of many body systems, we…

Physics and Society · Physics 2009-10-15 Elena Agliari , Adriano Barra , Raffaella Burioni , Pierluigi Contucci

The study of online decision-making problems that leverage contextual information has drawn notable attention due to their significant applications in fields ranging from healthcare to autonomous systems. In modern applications, contextual…

Machine Learning · Statistics 2025-04-22 Qiyu Han , Will Wei Sun , Yichen Zhang

We introduce a new computational model of moral decision making, drawing on a recent theory of commonsense moral learning via social dynamics. Our model describes moral dilemmas as a utility function that computes trade-offs in values over…

Artificial Intelligence · Computer Science 2018-01-16 Richard Kim , Max Kleiman-Weiner , Andres Abeliuk , Edmond Awad , Sohan Dsouza , Josh Tenenbaum , Iyad Rahwan