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Belief function theory provides a flexible way to combine information provided by different sources. This combination is usually followed by a decision making which can be handled by a range of decision rules. Some rules help to choose the…

Artificial Intelligence · Computer Science 2015-01-29 Amira Essaid , Arnaud Martin , Grégory Smits , Boutheina Ben Yaghlane

It is common to encounter the situation with uncertainty for decision makers (DMs) in dealing with a complex decision making problem. The existing evidence shows that people usually fear the extreme uncertainty named as the unknown. This…

Theoretical Economics · Economics 2021-08-05 Fang Liu

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

The introduction of explicit notions of rejection, or disbelief, into logics for knowledge representation can be justified in a number of ways. Motivations range from the need for versions of negation weaker than classical negation, to the…

Artificial Intelligence · Computer Science 2007-05-23 Samir Chopra , Johannes Heidema , Thomas Meyer

Expectation is a central notion in probability theory. The notion of expectation also makes sense for other notions of uncertainty. We introduce a propositional logic for reasoning about expectation, where the semantics depends on the…

Artificial Intelligence · Computer Science 2014-07-29 Joseph Y. Halpern , Riccardo Pucella

Confidence is an essential ingredient of success in a wide range of domains ranging from job performance and mental health, to sports, business, and combat. Some authors have suggested that not just confidence but overconfidence-believing…

Populations and Evolution · Quantitative Biology 2011-09-27 Dominic D. P. Johnson , James H. Fowler

Despite the fact that beliefs are mental states that cannot be directly observed, humans talk about each others' beliefs on a regular basis, often using rich compositional language to describe what others think and know. What explains this…

Artificial Intelligence · Computer Science 2024-07-10 Lance Ying , Tan Zhi-Xuan , Lionel Wong , Vikash Mansinghka , Joshua Tenenbaum

We study the problem of an agent continuously faced with the decision of placing or not placing trust in an institution. The agent makes use of Bayesian learning in order to estimate the institution's true trustworthiness and makes the…

Physics and Society · Physics 2024-02-06 Benedikt V. Meylahn , Arnoud V. den Boer , Michel Mandjes

We define a new notion of conditional belief, which plays the same role for Dempster-Shafer belief functions as conditional probability does for probability functions. Our definition is different from the standard definition given by…

Artificial Intelligence · Computer Science 2013-04-05 Ronald Fagin , Joseph Y. Halpern

A myriad of explainability methods have been proposed in recent years, but there is little consensus on how to evaluate them. While automatic metrics allow for quick benchmarking, it isn't clear how such metrics reflect human interaction…

Computation and Language · Computer Science 2021-06-30 Ana Valeria Gonzalez , Anna Rogers , Anders Søgaard

This paper presents an approach for developing the explanation capabilities of rule-based expert systems managing imprecise and uncertain knowledge. The treatment of uncertainty takes place in the framework of possibility theory where the…

Artificial Intelligence · Computer Science 2013-04-08 Henri Farrency , Henri Prade

In this study into the player's emotional theory of mind of gameplaying agents, we investigate how an agent's behaviour and the player's own performance and emotions shape the recognition of a frustrated behaviour. We focus on the…

Artificial Intelligence · Computer Science 2020-01-24 David Melhart , Georgios N. Yannakakis , Antonios Liapis

Confidence is a fundamental concept in statistics, but there is a tendency to misinterpret it as probability. In this paper, I argue that an intuitively and mathematically more appropriate interpretation of confidence is through…

Statistics Theory · Mathematics 2017-07-04 Ryan Martin

Leading agent-based trust models address two important needs. First, they show how an agent may estimate the trustworthiness of another agent based on prior interactions. Second, they show how agents may share their knowledge in order to…

Multiagent Systems · Computer Science 2014-01-17 Yonghong Wang , Chung-Wei Hang , Munindar P. Singh

Belief change is a fundamental problem in AI: Agents constantly have to update their beliefs to accommodate new observations. In recent years, there has been much work on axiomatic characterizations of belief change. We claim that a better…

Artificial Intelligence · Computer Science 2007-05-23 Nir Friedman , Joseph Y. Halpern

An implicit expectation of asking users to rate agents, such as an AI decision-aid, is that they will use only relevant information -- ask them about an agent's benevolence, and they should consider whether or not it was kind. Behavioral…

Human-Computer Interaction · Computer Science 2023-07-28 Nikolos Gurney , David Pynadath , Ning Wang

The process of doing Science in condition of uncertainty is illustrated with a toy experiment in which the inferential and the forecasting aspects are both present. The fundamental aspects of probabilistic reasoning, also relevant in real…

History and Overview · Mathematics 2018-02-07 Giulio D'Agostini

Large language models (LLMs) are increasingly deployed in high-stakes settings where good decisions require forming beliefs over the probability of unknown outcomes. However, it is unclear whether LLMs act as if they hold coherent beliefs…

Artificial Intelligence · Computer Science 2026-05-12 Khurram Yamin , Jingjing Tang , Santiago Cortes-Gomez , Amit Sharma , Eric Horvitz , Bryan Wilder

Subjective probability is based on the intuitive idea that probability quantifies the degree of belief that an event will occur. A probability theory based on this idea represents the most general framework for handling uncertainty. A brief…

Data Analysis, Statistics and Probability · Physics 2009-10-31 G. D'Agostini

In this paper, we study belief elicitation about an uncertain future event, where the reports will affect a principal's decision. We study two problems that can arise in this setting: (1) Agents may have an interest in the outcome of the…

Computer Science and Game Theory · Computer Science 2023-03-01 Manuel Wuthrich , Mark York , David C. Parkes