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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

This paper introduces the RUMBoost model, a novel discrete choice modelling approach that combines the interpretability and behavioural robustness of Random Utility Models (RUMs) with the generalisation and predictive ability of deep…

Machine Learning · Computer Science 2024-11-19 Nicolas Salvadé , Tim Hillel

This paper introduces the distributionally robust random utility model (DRO-RUM), which allows the preference shock (unobserved heterogeneity) distribution to be misspecified or unknown. We make three contributions using tools from the…

Theoretical Economics · Economics 2023-03-13 David Müller , Emerson Melo , Ruben Schlotter

We study a dynamic generalization of stochastic rationality in consumer behavior, the Dynamic Random Utility Model (DRUM). Under DRUM, a consumer draws a utility function from a stochastic utility process and maximizes this utility subject…

Theoretical Economics · Economics 2022-04-18 Nail Kashaev , Victor H. Aguiar

We readdress the problem of nonparametric statistical testing of random utility models proposed in Kitamura and Stoye (2018). Although their test is elegant, it is subject to computational constraints which leaves execution of the test…

Theoretical Economics · Economics 2025-01-27 Christopher Turansick

Given data on the choices made by consumers for different offer sets, a key challenge is to develop parsimonious models that describe and predict consumer choice behavior while being amenable to prescriptive tasks such as pricing and…

Machine Learning · Statistics 2025-04-15 Yanqiu Ruan , Xiaobo Li , Karthyek Murthy , Karthik Natarajan

The Random Utility Model (RUM) is the leading model to represent the aggregate choices of a heterogeneous population of preference maximizers. We show that if (and only if) preferences are sufficiently uncorrelated, RUM choices can also be…

Theoretical Economics · Economics 2025-05-29 Daniele Caliari , Henrik Petri

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

Matrix completion is a ubiquitous tool in machine learning and data analysis. Most work in this area has focused on the number of observations necessary to obtain an accurate low-rank approximation. In practice, however, the cost of…

Machine Learning · Computer Science 2021-04-19 Dong Hu , Alex Gittens , Malik Magdon-Ismail

This paper discusses {General Random Utility Models (GRUMs)}. These are a class of parametric models that generate partial ranks over alternatives given attributes of agents and alternatives. We propose two preference elicitation scheme for…

Artificial Intelligence · Computer Science 2013-09-27 Hossein Azari Soufiani , David C. Parkes , Lirong Xia

Kitamura and Stoye (2014) develop a nonparametric test for linear inequality constraints, when these are are represented as vertices of a polyhedron instead of its faces. They implement this test for an application to nonparametric tests of…

Econometrics · Economics 2018-12-05 Bart Smeulders

In this paper we present a duality theory for the robust utility maximisation problem in continuous time for utility functions defined on the positive real axis. Our results are inspired by -- and can be seen as the robust analogues of --…

Mathematical Finance · Quantitative Finance 2021-06-15 Daniel Bartl , Michael Kupper , Ariel Neufeld

We study random utility (RU) rationality with aggregation when the underlying alternatives in each aggregate vary across consumers and are unobserved, as is typical for an outside option. RUM over the underlying alternatives is the natural…

Theoretical Economics · Economics 2026-03-10 Yuexin Liao , Kota Saito , Alec Sandroni

We treat uncertain linear programming problems by utilizing the notion of weighted analytic centers and notions from the area of multi-criteria decision making. After introducing our approach, we develop interactive cutting-plane algorithms…

Optimization and Control · Mathematics 2018-05-21 Mehdi Karimi , Somayeh Moazeni , Levent Tuncel

This paper develops and implements a nonparametric test of Random Utility Models. The motivating application is to test the null hypothesis that a sample of cross-sectional demand distributions was generated by a population of rational…

Statistics Theory · Mathematics 2018-12-06 Yuichi Kitamura , Jörg Stoye

Random Utility Models (RUMs) are a classical framework for modeling user preferences and play a key role in reward modeling for Reinforcement Learning from Human Feedback (RLHF). However, a crucial shortcoming of many of these techniques is…

Machine Learning · Computer Science 2026-05-28 Yeshwanth Cherapanamjeri , Constantinos Daskalakis , Gabriele Farina , Sobhan Mohammadpour

In this paper, we consider the problem of predicting survey response rates using a family of flexible and interpretable nonparametric models. The study is motivated by the US Census Bureau's well-known ROAM application, which uses a linear…

Machine Learning · Statistics 2025-04-08 Shibal Ibrahim , Peter Radchenko , Emanuel Ben-David , Rahul Mazumder

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

The random utility model is known to be unidentified, but there are times when the model admits a unique representation. We offer two characterizations for the existence of a unique random utility representation. Our first characterization…

Theoretical Economics · Economics 2023-02-14 Christopher Turansick

At the core of most random utility models (RUMs) is an individual agent with a random utility component following a largest extreme value Type I (LEVI) distribution. What if, instead, the random component follows its mirror image -- the…

Econometrics · Economics 2024-05-24 Richard T. Carson , Derrick H. Sun , Yixiao Sun
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