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We axiomatize the Choquet rank-dependent utility model within a Savage framework with an exogenous source of pure risk. This model is a decision model under ambiguity, serving as a conceptual generalization of the Choquet expected utility…

Theoretical Economics · Economics 2025-11-11 Zachary Van Oosten , Ruodu Wang

This paper addresses the question of which models fit with information concerning the preferences of the decision maker over each attribute, and his preferences about aggregation of criteria (interacting criteria). We show that the…

Discrete Mathematics · Computer Science 2008-12-18 Christophe Labreuche , Michel Grabisch

We introduce a model-free preference under ambiguity, as a primitive trait of behavior, which we apply once as well as repeatedly. Its single and double application yield simple, easily interpretable definitions of ambiguity aversion and…

Risk Management · Quantitative Finance 2025-01-24 Mücahit Aygün , Roger J. A. Laeven , Mitja Stadje

We consider finite games in strategic form with Choquet expected utility. Using the notion of (unambiguously) believed, we define Choquet rationalizability and characterize it by Choquet rationality and common beliefs in Choquet rationality…

Computer Science and Game Theory · Computer Science 2019-07-23 Adam Dominiak , Burkhard Schipper

The Choquet integral is a powerful aggregation operator which lists many well-known models as its special cases. We look at these special cases and provide their axiomatic analysis. In cases where an axiomatization has been previously given…

Economics · Quantitative Finance 2016-12-01 Mikhail Timonin

Ambiguity and ambiguity aversion have been widely studied in decision theory and economics both at a theoretical and an experimental level. After Ellsberg's seminal studies challenging subjective expected utility theory (SEUT), several…

Physics and Society · Physics 2018-03-20 Diederik Aerts , Sandro Sozzo

Standard selective prediction methods typically estimate uncertainty from the output of a single predictive branch. While effective for general uncertainty estimation, these approaches often struggle under partial observability, where local…

Computer Vision and Pattern Recognition · Computer Science 2026-05-05 Kartik Jhawar , Yuhao Geng , Atul N. Parikh , Lipo Wang

We experimentally study a game in which success requires a sufficient total contribution by members of a group. There are significant uncertainties surrounding the chance and the total effort required for success. A theoretical model with…

General Economics · Economics 2022-09-23 Pablo Brañas-Garza , Antonio Cabrales , María Paz Espinosa , Diego Jorrat

Choquet capacities and integrals are central concepts in decision making under ambiguity or model uncertainty, pioneered by Schmeidler. Motivated by risk optimization problems for quantiles under ambiguity, we study the subclass of Choquet…

Risk Management · Quantitative Finance 2024-12-30 Peng Liu , Tiantian Mao , Ruodu Wang

We propose a game-theoretic framework that incorporates both incomplete information and general ambiguity attitudes on factors external to all players. Our starting point is players' preferences on payoff-distribution vectors, essentially…

Economics · Quantitative Finance 2017-04-04 Jian Yang

Due to the complexity of many decision making problems, tree search algorithms often have inadequate information to produce accurate transition models. This results in ambiguities (uncertainties for which there are multiple plausible…

Robotics · Computer Science 2024-08-27 Jared J. Beard , R. Michael Butts , Yu Gu

Many decision problems cannot be solved exactly and use several estimation algorithms that assign scores to the different available options. The estimation errors can have various correlations, from low (e.g. between two very different…

Machine Learning · Computer Science 2023-09-06 Theo Delemazure , François Durand , Fabien Mathieu

We represent preferences that exhibit absolute or relative attitudes towards ambiguity without assuming convexity of preferences. Our analysis is motivated by the recent experimental evidence by Baillon and Placido (2019) indicating that…

Theoretical Economics · Economics 2024-07-02 Francesco Fabbri , Giulio Principi , Lorenzo Stanca

When considering a model selection or, more generally, an aggregation approach for adaptive statistical inference, it is often necessary to compute estimators over a wide range of model complexities including unnecessarily large models even…

Statistics Theory · Mathematics 2026-04-17 Ilsang Ohn , Shitao Fan , Jungbin Jun , Lizhen Lin

Average treatment effect estimation is the most central problem in causal inference with application to numerous disciplines. While many estimation strategies have been proposed in the literature, the statistical optimality of these methods…

Machine Learning · Statistics 2025-06-10 Jikai Jin , Vasilis Syrgkanis

In this paper, we propose an ETA model (Estimated Time of Arrival) that leverages an attention mechanism over historical road speed patterns. As autonomous driving and intelligent transportation systems become increasingly prevalent, the…

Machine Learning · Computer Science 2026-01-21 ByeoungDo Kim , JunYeop Na , Kyungwook Tak , JunTae Kim , DongHyeon Kim , Duckky Kim

We propose a cost-effective framework for preference elicitation and aggregation under the Plackett-Luce model with features. Given a budget, our framework iteratively computes the most cost-effective elicitation questions in order to help…

Machine Learning · Computer Science 2018-07-10 Zhibing Zhao , Haoming Li , Junming Wang , Jeffrey Kephart , Nicholas Mattei , Hui Su , Lirong Xia

Heterogeneous treatment effects (HTEs) are increasingly estimated using machine learning models that produce highly personalized predictions of treatment effects. In practice, however, predicted treatment effects are rarely interpreted,…

We propose and axiomatize a new model of incomplete preferences under uncertainty, which we call \textit{hope-and-prepare preferences}. An act is considered more desirable than an other act when, and only when, both an optimistic…

Theoretical Economics · Economics 2025-07-29 Pierre Bardier , Bach Dong-Xuan , Van-Quy Nguyen

We establish dual representations for systemic risk measures based on acceptance sets in a general setting. We deal with systemic risk measures of both "first allocate, then aggregate" and "first aggregate, then allocate" type. In both…

Mathematical Finance · Quantitative Finance 2019-10-25 Maria Arduca , Pablo Koch-Medina , Cosimo Munari
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