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Our previous work on classifying complex ship images [1,2] has evolved into an effort to develop software tools for building and solving generic classification problems. Managing the uncertainty associated with feature data and other…

Artificial Intelligence · Computer Science 2013-04-11 Lashon B. Booker , Naveen Hota , Gavin Hemphill

There is a long history in game theory on the topic of Bayesian or "rational" learning, in which each player maintains beliefs over a set of alternative behaviours, or types, for the other players. This idea has gained increasing interest…

Artificial Intelligence · Computer Science 2016-03-03 Stefano V. Albrecht , Jacob W. Crandall , Subramanian Ramamoorthy

Over time, there have hen refinements in the way that probability distributions are used for representing beliefs. Models which rely on single probability distributions depict a complete ordering among the propositions of interest, yet…

Artificial Intelligence · Computer Science 2013-02-28 Paul Snow

The human mind is capable of extraordinary achievements, yet it often appears to work against itself. It actively defends its cherished beliefs even in the face of contradictory evidence, conveniently interprets information to conform to…

Artificial Intelligence · Computer Science 2025-09-23 David Hyland , Mahault Albarracin

We consider distributed learning problem in games with an unknown cost-relevant parameter, and aim to find the Nash equilibrium while learning the true parameter. Inspired by the social learning literature, we propose a distributed…

Optimization and Control · Mathematics 2023-03-14 Shijie Huang , Jinlong Lei , Yiguang Hong

Motivated reasoning posits that people distort how they process information in the direction of beliefs they find attractive. This paper creates a novel experimental design to identify motivated reasoning from Bayesian updating when people…

General Economics · Economics 2022-05-26 Michael Thaler

Bayesian persuasion studies how an informed sender should influence beliefs of rational receivers who take decisions through Bayesian updating of a common prior. We focus on the online Bayesian persuasion framework, in which the sender…

Computer Science and Game Theory · Computer Science 2023-03-03 Martino Bernasconi , Matteo Castiglioni , Andrea Celli , Alberto Marchesi , Nicola Gatti , Francesco Trovò

Experiments on decision making under uncertainty are known to display a classical pattern of risk aversion and risk seeking referred to as "fourfold pattern" (or "reflection effect") , but recent experiments varying the speed and order of…

Neurons and Cognition · Quantitative Biology 2024-01-17 Francesco Fumarola , Lukasz Kusmierz , Ronald B. Dekker

The study of private inference has been sparked by growing concern regarding the analysis of data when it stems from sensitive sources. We present the first method for private Bayesian inference in exponential families that properly…

Machine Learning · Computer Science 2018-10-29 Garrett Bernstein , Daniel Sheldon

This work is a technical approach to modeling false information nature, design, belief impact and containment in multi-agent networks. We present a Bayesian mathematical model for source information and viewer's belief, and how the former…

Social and Information Networks · Computer Science 2018-04-06 Amin Khajehnejad , Shima Hajimirza

We develop a hierarchical Bayesian dynamic game for competitive inventory and pricing under incomplete information. Two firms repeatedly choose order quantities and prices while facing two layers of uncertainty: unknown market demand and…

Methodology · Statistics 2026-03-09 Debashis Chatterjee

We propose a framework for general Bayesian inference. We argue that a valid update of a prior belief distribution to a posterior can be made for parameters which are connected to observations through a loss function rather than the…

Statistics Theory · Mathematics 2016-02-29 Pier Giovanni Bissiri , Chris Holmes , Stephen Walker

We propose a new model for forming beliefs and learning about unknown probabilities (such as the probability of picking a red marble from a bag with an unknown distribution of coloured marbles). The most widespread model for such situations…

Artificial Intelligence · Computer Science 2019-07-24 Alexandru Baltag , Soroush Rafiee Rad , Sonja Smets

Within the Kolmogorov theory of probability, Bayes' rule allows one to perform statistical inference by relating conditional probabilities to unconditional probabilities. As we show here, however, there is a continuous set of alternative…

Probability · Mathematics 2014-12-05 Samuel G. Rodriques

This paper considers online reputation and polling systems where individuals make recommendations based on their private observations and recommendations of friends. Such interaction of individuals and their social influence is modelled as…

Social and Information Networks · Computer Science 2015-01-07 Vikram Krishnamurthy , William Hoiles

In the canonical examples underlying Shafer-Dempster theory, beliefs over the hypotheses of interest are derived from a probability model for a set of auxiliary hypotheses. Beliefs are derived via a compatibility relation connecting the…

Artificial Intelligence · Computer Science 2013-04-11 Kathryn Blackmond Laskey

We study delegated Bayesian persuasion: a principal incentivizes an intermediary to design information via outcome-contingent transfers, while the intermediary privately chooses the experiment subject to convex costs. We characterize…

Theoretical Economics · Economics 2026-04-27 Wilfried Youmbi Fotso , Xun Chen

Peer effects, in which the behavior of an individual is affected by the behavior of their peers, are posited by multiple theories in the social sciences. Other processes can also produce behaviors that are correlated in networks and groups,…

Methodology · Statistics 2021-02-16 Dean Eckles , Eytan Bakshy

It is well known that accurate probabilistic predictors can be trained through empirical risk minimisation with proper scoring rules as loss functions. While such learners capture so-called aleatoric uncertainty of predictions, various…

Machine Learning · Computer Science 2023-01-31 Viktor Bengs , Eyke Hüllermeier , Willem Waegeman

We study a social learning model in which agents iteratively update their beliefs about the true state of the world using private signals and the beliefs of other agents in a non-Bayesian manner. Some agents are stubborn, meaning they…

Social and Information Networks · Computer Science 2022-09-21 Daniel Vial , Vijay Subramanian
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