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The random utility model, a cornerstone in economics, is axiomatized by Falmagne (1978) and McFadden and Richter (1990) with the assumption that if a menu is observable, the choice frequencies of all alternatives are also observable.…

Theoretical Economics · Economics 2025-10-07 Haruki Kono , Kota Saito , Alec Sandroni

This paper proposes a method for estimating consumer preferences among discrete choices, where the consumer chooses at most one product in a category, but selects from multiple categories in parallel. The consumer's utility is additive in…

Machine Learning · Computer Science 2023-08-08 Rob Donnelly , Francisco R. Ruiz , David Blei , Susan Athey

We exploit qualitative probabilistic relationships among variables for computing bounds of conditional probability distributions of interest in Bayesian networks. Using the signs of qualitative relationships, we can implement abstraction…

Artificial Intelligence · Computer Science 2013-02-01 Chao-Lin Liu , Michael P. Wellman

Counterfactual explanations utilize feature perturbations to analyze the outcome of an original decision and recommend an actionable recourse. We argue that it is beneficial to provide several alternative explanations rather than a single…

Machine Learning · Computer Science 2023-01-24 Natraj Raman , Daniele Magazzeni , Sameena Shah

Edgeworth-type expansions for convolutions of probability densities and powers of the characteristic functions with non-uniform error terms are established for i.i.d. random variables with finite (fractional) moments of order $s \geq 2$,…

Probability · Mathematics 2011-04-20 S. G. Bobkov , G. P. Chistyakov , F. Götze

Despite their enormous predictive power, machine learning models are often unsuitable for applications in regulated industries such as finance, due to their limited capacity to provide explanations. While model-agnostic frameworks such as…

Machine Learning · Statistics 2025-11-03 Joshua S. Harvey , Guanchao Feng , Sai Anusha Meesala , Tina Zhao , Dhagash Mehta

We develop a nonparametric approach to identify and estimate consumer preferences and unobserved heterogeneity under nonlinear price schedules. Leveraging variation across multiple price schedules, we show that both the utility function and…

Econometrics · Economics 2026-04-29 Samuele Centorrino , Frédérique Fève , Jean-Pierre Florens

We present a general framework for evaluating image counterfactuals. The power and flexibility of deep generative models make them valuable tools for learning mechanisms in structural causal models. However, their flexibility makes…

Computer Vision and Pattern Recognition · Computer Science 2023-03-03 Miguel Monteiro , Fabio De Sousa Ribeiro , Nick Pawlowski , Daniel C. Castro , Ben Glocker

Structural models that admit multiple reduced forms, such as game-theoretic models with multiple equilibria, pose challenges in practice, especially when parameters are set-identified and the identified set is large. In such cases,…

Econometrics · Economics 2021-01-29 Nathan Canen , Kyungchul Song

Counterfactual explanations are widely used to interpret machine learning predictions by identifying minimal changes to input features that would alter a model's decision. However, most existing counterfactual methods have not been tested…

Machine Learning · Computer Science 2026-02-03 Leonidas Christodoulou , Chang Sun

The Random Utility Model (RUM) is the gold standard in describing the behavior of a population of consumers. The RUM operates under the assumption of transitivity in consumers' preference relationships, but the empirical literature has…

Theoretical Economics · Economics 2024-06-21 Wilfried Youmbi

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

A family of models of individual discrete choice are constructed by means of statistical averaging of choices made by a subject in a reinforcement learning process, where the subject has short, k-term memory span. The choice probabilities…

Econometrics · Economics 2019-08-20 Misha Perepelitsa

We study counterfactual classification as a new tool for decision-making under hypothetical (contrary to fact) scenarios. We propose a doubly-robust nonparametric estimator for a general counterfactual classifier, where we can incorporate…

Machine Learning · Computer Science 2023-01-31 Kwangho Kim , Edward H. Kennedy , José R. Zubizarreta

This paper studies nonparametric identification and counterfactual bounds for heterogeneous firms that can be ranked in terms of productivity. Our approach works when quantities and prices are latent, rendering standard approaches…

Econometrics · Economics 2022-06-07 Victor H. Aguiar , Nail Kashaev , Roy Allen

McFadden's random-utility model of multinomial choice has long been the workhorse of applied research. We establish shape-restrictions under which multinomial choice-probability functions can be rationalized via random-utility models with…

Econometrics · Economics 2021-05-20 Debopam Bhattacharya

We explore the influence of framing on decision-making, where some products are framed (e.g., displayed, recommended, endorsed, or labeled). We introduce a novel choice function that captures observed variations in framed alternatives.…

Theoretical Economics · Economics 2025-02-04 Paul H. Y. Cheung , Yusufcan Masatlioglu

Consider sensitivity analysis to assess the worst-case possible values of counterfactual outcome means and average treatment effects under sequential unmeasured confounding in a longitudinal study with time-varying treatments and…

Statistics Theory · Mathematics 2023-08-31 Zhiqiang Tan

We characterize the identified sets of a wide range of stochastic choice models, including random utility, various models of boundedly-rational behavior, and dynamic discrete choice. In each of these settings, we show two distributions over…

Theoretical Economics · Economics 2026-02-24 Peter Caradonna , Christopher Turansick

A central push in operations models over the last decade has been the incorporation of models of customer choice. Real world implementations of many of these models face the formidable stumbling block of simply identifying the `right' model…

Applications · Statistics 2011-06-23 Vivek F. Farias , Srikanth Jagabathula , Devavrat Shah