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A representative researcher has repeated opportunities for empirical research. To process findings, she must impose an "identifying assumption." She conducts research when the assumption is sufficiently plausible (taking into account both…

Theoretical Economics · Economics 2025-01-17 Andrew Ellis , Ran Spiegler

Discrete Choice Modelling serves as a robust framework for modelling human choice behaviour across various disciplines. Building a choice model is a semi structured research process that involves a combination of a priori assumptions,…

Econometrics · Economics 2025-06-09 Gabriel Nova , Sander van Cranenburgh , Stephane Hess

In many situations, the decision maker observes items in sequence and needs to determine whether or not to retain a particular item immediately after it is observed. Any decision rule creates a set of items that are selected. We consider…

Probability · Mathematics 2007-05-23 Abba M. Krieger , Moshe Pollak , Ester Samuel-Cahn

In most contemporary approaches to decision making, a decision problem is described by a sets of states and set of outcomes, and a rich set of acts, which are functions from states to outcomes over which the decision maker (DM) has…

Computer Science and Game Theory · Computer Science 2021-09-07 Lawrence Blume , David Easley , Joseph Y. Halpern

Comparisons are made for the amount of agreement of the composite likelihood information criteria and their full likelihood counterparts when making decisions among the fits of different models, and some properties of penalty term for…

Statistics Theory · Mathematics 2014-10-17 Chi Tim Ng , Harry Joe

We study a model of user decision-making in the context of recommender systems via numerical simulation. Our model provides an explanation for the findings of Nguyen, et. al (2014), where, in environments where recommender systems are…

Computers and Society · Computer Science 2020-07-27 Guy Aridor , Duarte Goncalves , Shan Sikdar

The random utility model (RUM, McFadden and Richter, 1990) has been the standard tool to describe the behavior of a population of decision makers. RUM assumes that decision makers behave as if they maximize a rational preference over a…

General Economics · Economics 2022-07-05 Victor H. Aguiar , Maria Jose Boccardi , Nail Kashaev , Jeongbin Kim

Among the various forms of reasoning studied in the context of artificial intelligence, qualitative reasoning makes it possible to infer new knowledge in the context of imprecise, incomplete information without numerical values. In this…

Artificial Intelligence · Computer Science 2026-02-10 Quentin Cohen-Solal , Alexandre Niveau , Maroua Bouzid

We discuss conditionalisation for Accept-Desirability models in an abstract decision-making framework, where uncertain rewards live in a general linear space, and events are special projection operators on that linear space. This abstract…

Artificial Intelligence · Computer Science 2025-12-23 Kathelijne Coussement , Gert de Cooman , Keano De Vos

We investigate how the choice of decision makers can be varied under the presence of risk and uncertainty. Our analysis is based on the approach we have previously applied to individual decision makers, which we now generalize to the case…

Physics and Society · Physics 2014-09-03 V. I. Yukalov , D. Sornette

Most social choice rules assume access to full rankings, while current alignment practice -- despite aiming for diversity -- typically treats voters as anonymous and comparisons as independent, effectively extracting only about one bit per…

Computer Science and Game Theory · Computer Science 2026-03-23 Luise Ge , Daniel Halpern , Gregory Kehne , Yevgeniy Vorobeychik

Choice revision is a sort of non-prioritized multiple revision, in which the agent partially accepts the new information represented by a set of sentences. We investigate the construction of choice revision based on a new approach to belief…

Logic · Mathematics 2018-05-02 Li Zhang

Decision makers sometimes cannot observe the consequences of their actions ex-post. This paper axiomatically characterizes a decision model in which the decision maker cares about verifying that a good consequence has been achieved.…

Theoretical Economics · Economics 2026-03-03 Hendrik Rommeswinkel

We study preferences estimated from finite choice experiments and provide sufficient conditions for convergence to a unique underlying "true" preference. Our conditions are weak, and therefore valid in a wide range of economic environments.…

Theoretical Economics · Economics 2020-11-03 Christopher P. Chambers , Federico Echenique , Nicolas Lambert

This paper provides a model to analyze and identify a decision maker's (DM's) hypothetical reasoning. Using this model, I show that a DM's propensity to engage in hypothetical thinking is captured exactly by her ability to recognize…

Theoretical Economics · Economics 2021-07-22 Evan Piermont

As the frontiers of applied statistics progress through increasingly complex experiments we must exploit increasingly sophisticated inferential models to analyze the observations we make. In order to avoid misleading or outright erroneous…

Methodology · Statistics 2018-03-23 Michael Betancourt

Inspired by sample splitting and the reusable holdout introduced in the field of differential privacy, we consider selective inference with a randomized response. We discuss two major advantages of using a randomized response for model…

Statistics Theory · Mathematics 2016-12-01 Xiaoying Tian , Jonathan E. Taylor

This position paper reflects on the state-of-the-art in decision-making under uncertainty. A classical assumption is that probabilities can sufficiently capture all uncertainty in a system. In this paper, the focus is on the uncertainty…

Artificial Intelligence · Computer Science 2023-03-13 Thom Badings , Thiago D. Simão , Marnix Suilen , Nils Jansen

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

Nontransitive choices have long been an area of curiosity within economics. However, determining whether nontransitive choices represent an individual's preference is a difficult task since choice data is inherently stochastic. This paper…

Theoretical Economics · Economics 2023-05-01 Mogens Fosgerau , John Rehbeck