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Confirmation bias is a cognitive bias that adversely affects management decisions, and mathematical modelling is an aid to its detailed understanding. Bias in opinion update about the value of a parameter is modelled here assuming that…

Other Statistics · Statistics 2022-02-08 Rose D Baker

We consider a persuasion problem between a sender and a receiver whose utility may be nonlinear in her belief; we call such receivers risk-conscious. Such utility models arise when the receiver exhibits systematic biases away from…

Theoretical Economics · Economics 2023-07-17 Jerry Anunrojwong , Krishnamurthy Iyer , David Lingenbrink

Bayesian methods are increasingly applied in these days in the theory and practice of statistics. Any Bayesian inference depends on a likelihood and a prior. Ideally one would like to elicit a prior from related sources of information or…

Methodology · Statistics 2011-08-11 Malay Ghosh

Early warning signals have been proposed to forecast the possibility of a critical transition, such as the eutrophication of a lake, the collapse of a coral reef, or the end of a glacial period. Because such transitions often unfold on…

Populations and Evolution · Quantitative Biology 2012-10-04 Carl Boettiger , Alan Hastings

This paper studies the persuasion of a receiver who accesses information only if she exerts costly attention effort. A sender designs an experiment to persuade the receiver to take a specific action. The experiment affects the receiver's…

Theoretical Economics · Economics 2026-04-07 Pietro Dall'Ara

If uncertainty is modelled by a probability measure, decisions are typically made by choosing the option with the highest expected utility. If an imprecise probability model is used instead, this decision rule can be generalised in several…

Artificial Intelligence · Computer Science 2020-03-27 Jasper De Bock

Bayesian persuasion, a central model in information design, studies how a sender, who privately observes a state drawn from a prior distribution, strategically sends a signal to influence a receiver's action. A key assumption is that both…

Computer Science and Game Theory · Computer Science 2025-05-23 Jingwu Tang , Jiahao Zhang , Fei Fang , Zhiwei Steven Wu

Active inference may be defined as Bayesian modeling of a brain with a biologically plausible model of the agent. Its primary idea relies on the free energy principle and the prior preference of the agent. An agent will choose an action…

Machine Learning · Computer Science 2021-12-14 Jin young Shin , Cheolhyeong Kim , Hyung Ju Hwang

Is an option especially tempting when it is both immediate and certain? I test the effect of risk on the present-bias factor given quasi-hyperbolic discounting. In my experiment workers allocate about thirty to fifty minutes of real-effort…

General Economics · Economics 2024-08-28 J. Lucas Reddinger

In recent years, much research effort on recommendation has been devoted to mining user behaviors, i.e., collaborative filtering, along with the general information which describes users or items, e.g., textual attributes, categorical…

Information Retrieval · Computer Science 2020-03-10 Yu Zheng , Chen Gao , Xiangnan He , Yong Li , Depeng Jin

Recent work has considered theoretical models for the behavior of agents with specific behavioral biases: rather than making decisions that optimize a given payoff function, the agent behaves inefficiently because its decisions suffer from…

Computer Science and Game Theory · Computer Science 2017-06-06 Jon Kleinberg , Sigal Oren , Manish Raghavan

Filtering has had a profound impact as a device of perceiving information and deriving agent expectations in dynamic economic models. For an abstract economic system, this paper shows that the foundation of applying the filtering method…

Probability · Mathematics 2016-05-13 Zhengyuan Gao , Christian M. Hafner

Algorithms are increasingly used to aid, or in some cases supplant, human decision-making, particularly for decisions that hinge on predictions. As a result, two additional features in addition to prediction quality have generated interest:…

Machine Learning · Computer Science 2019-06-04 Jon Kleinberg , Sendhil Mullainathan

Humans and animals have the ability to reason and make predictions about different courses of action at many time scales. In reinforcement learning, option models (Sutton, Precup \& Singh, 1999; Precup, 2000) provide the framework for this…

Machine Learning · Computer Science 2021-08-09 Khimya Khetarpal , Zafarali Ahmed , Gheorghe Comanici , Doina Precup

This paper proposes two mixed models to study a consumer's optimal saving in the presence of two types of risk.

General Finance · Quantitative Finance 2017-06-26 Irina Georgescu , Adolfo Cristóbal Campoamor , Ana Maria Lucia Casademunt

In this paper, we consider the revealed preferences problem from a learning perspective. Every day, a price vector and a budget is drawn from an unknown distribution, and a rational agent buys his most preferred bundle according to some…

Computer Science and Game Theory · Computer Science 2012-11-20 Morteza Zadimoghaddam , Aaron Roth

The feedback data of recommender systems are often subject to what was exposed to the users; however, most learning and evaluation methods do not account for the underlying exposure mechanism. We first show in theory that applying…

Information Retrieval · Computer Science 2020-12-07 Da Xu , Chuanwei Ruan , Evren Korpeoglu , Sushant Kumar , Kannan Achan

The goal of recommendation is to show users items that they will like. Though usually framed as a prediction, the spirit of recommendation is to answer an interventional question---for each user and movie, what would the rating be if we…

Information Retrieval · Computer Science 2019-05-28 Yixin Wang , Dawen Liang , Laurent Charlin , David M. Blei

This essay looks at decision-making with interval-valued probability measures. Existing decision methods have either supplemented expected utility methods with additional criteria of optimality, or have attempted to supplement the…

Artificial Intelligence · Computer Science 2013-04-15 Ronald P. Loui

We consider a decision maker who is unaware of objects to be sampled and thus cannot form beliefs about the occurrence of particular objects. Ex ante she can form beliefs about the occurrence of novelty and the frequencies of yet to be…

Theoretical Economics · Economics 2025-02-21 Burkhard C. Schipper