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We propose an axiomatic approach which economically underpins the representation of dynamic preferences in terms of a stochastic utility function, sensitive to the information available to the decision maker. Our construction is iterative…

Probability · Mathematics 2020-02-24 Marco Maggis , Andrea Maran

Previous debiasing studies utilize unbiased data to make supervision of model training. They suffer from the high trial risks and experimental costs to obtain unbiased data. Recent research attempts to use invariant learning to detach the…

Information Retrieval · Computer Science 2025-02-06 Ting Bai , Weijie Chen , Cheng Yang , Chuan Shi

Stochastic dominance is a preference relation of uncertain prospect defined over a class of utility functions. While this utility class represents basic properties of risk aversion, it includes some extreme utility functions rarely…

Optimization and Control · Mathematics 2015-12-29 Jian Hu , Gevorg Stepanyan

Recent literature in the last Maximum Entropy workshop introduced an analogy between cumulative probability distributions and normalized utility functions. Based on this analogy, a utility density function can de defined as the derivative…

Artificial Intelligence · Computer Science 2009-11-10 Ali E. Abbas

In financial markets valuable information is rarely circulated homogeneously, because of time required for information to spread. However, advances in communication technology means that the 'lifetime' of important information is typically…

Pricing of Securities · Quantitative Finance 2011-08-05 Dorje C. Brody , Yan Tai Law

Differential privacy is a notion of privacy that has become very popular in the database community. Roughly, the idea is that a randomized query mechanism provides sufficient privacy protection if the ratio between the probabilities that…

Cryptography and Security · Computer Science 2014-06-18 Mário S. Alvim , Miguel E. Andrés , Konstantinos Chatzikokolakis , Pierpaolo Degano , Catuscia Palamidessi

The ability to uncover preferences from choices is fundamental for both positive economics and welfare analysis. Overwhelming evidence shows that choice is stochastic, which has given rise to random utility models as the dominant paradigm…

General Economics · Economics 2018-11-07 Carlos Alos-Ferrer , Ernst Fehr , Nick Netzer

The von Neumann and Morgenstern theory postulates that rational choice under uncertainty is equivalent to maximization of expected utility (EU). This view is mathematically appealing and natural because of the affine structure of the space…

Optimization and Control · Mathematics 2014-12-22 Roman V. Belavkin

We study the learning problem of revealed preference in a stochastic setting: a learner observes the utility-maximizing actions of a set of agents whose utility follows some unknown distribution, and the learner aims to infer the…

Optimization and Control · Mathematics 2022-06-06 John R. Birge , Xiaocheng Li , Chunlin Sun

Diversification represents the idea of choosing variety over uniformity. Within the theory of choice, desirability of diversification is axiomatized as preference for a convex combination of choices that are equivalently ranked. This…

Economics · Quantitative Finance 2016-10-07 Enrico G. De Giorgi , Ola Mahmoud

We study belief revision when information is represented by a set of probability distributions, or general information. General information extends the standard event notion while including qualitative information (A is more likely than B),…

Theoretical Economics · Economics 2025-02-04 Adam Dominiak , Matthew Kovach , Gerelt Tserenjigmid

The classical Merton investment problem predicts deterministic, state-dependent portfolio rules; however, laboratory and field evidence suggests that individuals often prefer randomized decisions leading to stochastic and noisy choices.…

Mathematical Finance · Quantitative Finance 2026-02-17 Min Dai , Yuchao Dong , Yanwei Jia , Xun Yu Zhou

In random expected utility (Gul and Pesendorfer, 2006), the distribution of preferences is uniquely recoverable from random choice. This paper shows through two examples that such uniqueness fails in general if risk preferences are random…

Theoretical Economics · Economics 2020-09-10 Yi-Hsuan Lin

This paper axiomatizes, in a two-stage setup, a new theory for decision under risk and ambiguity. The axiomatized preference relation $\succeq$ on the space $\tilde{V}$ of random variables induces an ambiguity index $c$ on the space…

Optimization and Control · Mathematics 2026-03-24 Roger J. A. Laeven , Mitja Stadje

Machine learning systems embed preferences either in training losses or through post-processing of calibrated predictions. Applying information design methods from Strack and Yang (2024), this paper provides decision problem agnostic…

Theoretical Economics · Economics 2026-01-27 Joshua S. Gans

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

Conjoint experiments randomize multidimensional profiles, offering a powerful design for recovering structural preference parameters -- including marginal rates of substitution, willingness to pay, and the distribution of preferences across…

Methodology · Statistics 2026-05-26 Avidit Acharya , Jens Hainmueller , Yiqing Xu

Decision theory does not traditionally include uncertainty over utility functions. We argue that the a person's utility value for a given outcome can be treated as we treat other domain attributes: as a random variable with a density…

Artificial Intelligence · Computer Science 2013-01-18 Urszula Chajewska , Daphne Koller

We consider the problem of rationalizing choice data by a preference satisfying an arbitrary collection of invariance axioms. Examples of such axioms include quasilinearity, homotheticity, independence-type axioms for mixture spaces,…

Theoretical Economics · Economics 2024-08-09 Peter Caradonna , Christopher P. Chambers

We introduce a new cost function over experiments, f-information, based on the theory of multivariate statistical divergences, that generalizes Sims's classic model of rational inattention as well as the class of posterior-separable cost…

Theoretical Economics · Economics 2025-10-07 Alex Bloedel , Tommaso Denti , Luciano Pomatto
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