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Models of stochastic choice typically use conditional choice probabilities given menus as the primitive for analysis, but in the field these are often hard to observe. Moreover, studying preferences over menus is not possible with this…

Theoretical Economics · Economics 2022-08-19 Yaron Azrieli , John Rehbeck

Machine learning methods are being increasingly applied in sensitive societal contexts, where decisions impact human lives. Hence it has become necessary to build capabilities for providing easily-interpretable explanations of models'…

Machine Learning · Computer Science 2021-04-13 Alfredo Carrillo , Luis F. Cantú , Luis Tejerina , Alejandro Noriega

We empirically investigate distributions of individual consumption expenditure f or four commodity categories conditional on fixed income levels. The data stems from the Family Expenditure Survey carried out annually in the United Kingdom.…

Statistical Mechanics · Physics 2009-11-07 Martin Hohnisch , Sabine Pittnauer , Manisha Chakrabarty

Discrimination in machine learning often arises along multiple dimensions (a.k.a. protected attributes); it is then desirable to ensure \emph{intersectional fairness} -- i.e., that no subgroup is discriminated against. It is known that…

Machine Learning · Statistics 2023-06-27 Mathieu Molina , Patrick Loiseau

Human preference evaluations are widely used to compare generative models, yet it remains unclear how many judgments are required to reliably detect small improvements. We show that when preference signal is diffuse across prompts (i.e.,…

Computation and Language · Computer Science 2026-01-16 Wilson Y. Lee

We study consumption dependence in the context of random utility and repeated choice. We show that, in the presence of consumption dependence, the random utility model is a misspecified model of repeated rational choice. This…

Theoretical Economics · Economics 2025-10-01 Christopher Turansick

We investigate the supports of extremal martingale measures with pre-specified marginals in a two-period setting. First, we establish in full generality the equivalence between the extremality of a given measure $Q$ and the denseness in…

Probability · Mathematics 2019-03-08 Luciano Campi , Claude Martini

To take sample biases and skewness in the observations into account, practitioners frequently weight their observations according to some marginal distribution. The present paper demonstrates that such weighting can indeed improve the…

Methodology · Statistics 2018-11-05 Tobias Niebuhr , Mathias Trabs

The robust option pricing problem is to find upper and lower bounds on fair prices of financial claims using only the most minimal assumptions. It contrasts with the classical, model-based approach and gained prominence in the wake of the…

Mathematical Finance · Quantitative Finance 2023-12-15 Alexander M. G. Cox , Annemarie M. Grass

The increasing deployment of machine learning as well as legal regulations such as EU's GDPR cause a need for user-friendly explanations of decisions proposed by machine learning models. Counterfactual explanations are considered as one of…

Machine Learning · Computer Science 2020-08-04 André Artelt , Barbara Hammer

A monopolist offers personalized prices to consumers with unit demand, heterogeneous values, and idiosyncratic costs, who differ in a protected characteristic, such as race or gender. The seller is subject to a non-discrimination…

Theoretical Economics · Economics 2025-06-27 Philipp Strack , Kai Hao Yang

The consumption function maps current wealth and the exogenous state to current consumption. We prove the existence and uniqueness of a consumption function when the agent has a preference for wealth. When the period utility functions are…

Theoretical Economics · Economics 2025-09-30 Qingyin Ma , Alexis Akira Toda

The way that people make choices or exhibit preferences can be strongly affected by the set of available alternatives, often called the choice set. Furthermore, there are usually heterogeneous preferences, either at an individual level…

Computer Science and Game Theory · Computer Science 2020-08-04 Kiran Tomlinson , Austin R. Benson

Parametric inference posits a statistical model that is a specified family of probability distributions. Restricted inference, e.g., restricted likelihood ratio testing, attempts to exploit the structure of a statistical submodel that is a…

Statistics Theory · Mathematics 2019-03-22 Michael W. Trosset , Carey E. Priebe

We study how market segmentation affects consumers when a monopolist can adjust both prices and product qualities across segments, engaging in second- and third-degree price discrimination simultaneously. We characterize the…

Theoretical Economics · Economics 2026-03-04 Dirk Bergemann , Tibor Heumann , Michael C. Wang

This expository paper discusses Bayesian decision analysis perspectives on problems of constrained forecasting. Foundational and pedagogic discussion contrasts decision analytic approaches with the traditional, but typically inappropriate,…

Methodology · Statistics 2021-12-01 Mike West

The increasing occurrence of ordinal data, mainly sociodemographic, led to a renewed research interest in ordinal regression, i.e. the prediction of ordered classes. Besides model accuracy, the interpretation of these models itself is of…

Machine Learning · Computer Science 2019-02-21 Lukas Pfannschmidt , Jonathan Jakob , Michael Biehl , Peter Tino , Barbara Hammer

Economic and financial models -- such as vector autoregressions, local projections, and multivariate volatility models -- feature complex dynamic interactions and spillovers across many time series. These models can be integrated into a…

Econometrics · Economics 2025-03-10 Jinyuan Chang , Qiao Hu , Zhentao Shi , Jia Zhang

Marginal models involve restrictions on the conditional and marginal association structure of a set of categorical variables. They generalize log-linear models for contingency tables, which are the fundamental tools for modelling the…

Methodology · Statistics 2023-04-10 Tamas Rudas , Wicher Bergsma

In recommendation settings, there is an apparent trade-off between the goals of accuracy (to recommend items a user is most likely to want) and diversity (to recommend items representing a range of categories). As such, real-world…

Information Retrieval · Computer Science 2023-07-31 Kenny Peng , Manish Raghavan , Emma Pierson , Jon Kleinberg , Nikhil Garg