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Our goal in this paper is to plan the motion of a robot in a partitioned environment with dynamically changing, locally sensed rewards. We assume that arbitrary assumptions on the reward dynamics can be given. The robot aims to accomplish a…

Robotics · Computer Science 2012-08-30 Maria Svorenova , Jana Tumova , Jiri Barnat , Ivana Cerna

The effects of real-time provision of travel-time information on the behaviour of drivers are considered. The model of Marecek et al. [arXiv:1406.7639, Int. J. Control 88(10), 2015] is extended to consider uncertainty in the response of a…

Optimization and Control · Mathematics 2017-05-26 Jakub Marecek , Robert Shorten , Jia Yuan Yu

Recommendation systems often use online collaborative filtering (CF) algorithms to identify items a given user likes over time, based on ratings that this user and a large number of other users have provided in the past. This problem has…

Machine Learning · Computer Science 2021-02-01 Wasim Huleihel , Soumyabrata Pal , Ofer Shayevitz

Time-inconsistent preferences, where agents favor smaller-sooner over larger-later rewards, are a key feature of human and animal decision-making. Quasi-Hyperbolic (QH) discounting provides a simple yet powerful model for this behavior, but…

Machine Learning · Computer Science 2025-09-09 S. R. Eshwar

This paper studies a one-sector optimal growth model with i.i.d. productivity shocks that are allowed to be unbounded. The utility function is assumed to be non-negative and unbounded from above. The novel feature in our framework is that…

Economics · Quantitative Finance 2021-07-21 Nicole Bäuerle , Anna Jaśkiewicz

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

Humans exhibit time-inconsistent behavior, in which planned actions diverge from executed actions. Understanding time inconsistency and designing appropriate interventions is a key research challenge in computer science and behavioral…

Computer Science and Game Theory · Computer Science 2025-09-18 Yasunori Akagi , Takeshi Kurashima

We study a routing and appointment scheduling problem with uncertain service and travel times arising from home service practice. Specifically, given a set of customers within a service region that an operator needs to serve, we seek to…

Optimization and Control · Mathematics 2021-11-23 Man Yiu , Tsang , Karmel S. Shehadeh

We develop a continuous-time peer-effect discrete choice model where peers that affect the preferences of a given agent are randomly selected based on their previous choices. We characterize the equilibrium behavior and study the empirical…

Econometrics · Economics 2025-11-27 Nail Kashaev , Natalia Lazzati

Temporal abstraction refers to the ability of an agent to use behaviours of controllers which act for a limited, variable amount of time. The options framework describes such behaviours as consisting of a subset of states in which they can…

Machine Learning · Computer Science 2020-01-03 Khimya Khetarpal , Martin Klissarov , Maxime Chevalier-Boisvert , Pierre-Luc Bacon , Doina Precup

An agent's preferences depend on an ordered parameter or type. We characterize the set of utility functions with single-crossing differences (SCD) in convex environments. These include preferences over lotteries, both in expected utility…

Theoretical Economics · Economics 2023-06-06 Navin Kartik , SangMok Lee , Daniel Rappoport

A prominent theme in behavioural contract theory is the study of present-biased agents represented through quasi-hyperbolic discounting. In a model of competitive credit provision, we study an alternative to this framework in which the…

Theoretical Economics · Economics 2026-02-11 Siddharth Chatterjee , Daniel F. Garrett

We study multistage distributionally robust linear optimization, where the uncertainty set is defined as a ball of distribution centered at a scenario tree using the nested distance. The resulting minimax problem is notoriously difficult to…

Optimization and Control · Mathematics 2024-07-24 Rui Gao , Rohit Arora , Yizhe Huang

This paper presents a novel method for introducing time into discrete and continuous spatial representations used in mobile robotics, by modelling long-term, pseudo-periodic variations caused by human activities. Unlike previous approaches,…

Robotics · Computer Science 2026-03-16 Tomas Krajnik , Tomas Vintr , Sergi Molina , Jaime P. Fentanes , Grzegorz Cielniak , Tom Duckett

An important but understudied question in economics is how people choose when facing uncertainty in the timing of events. Here we study preferences over time lotteries, in which the payment amount is certain but the payment time is…

Theoretical Economics · Economics 2021-08-20 Yonatan Berman , Mark Kirstein

This paper deals with the convergence time analysis of a class of fixed-time stable systems with the aim to provide a new non-conservative upper bound for its settling time. Our contribution is fourfold. First, we revisit the well-known…

Optimization and Control · Mathematics 2019-07-23 R. Aldana-López , D. Gómez-Gutiérrez , E. Jiménez-Rodríguez , J. D. Sánchez-Torres , M. Defoort

This paper introduces a novel stochastic control framework to enhance the capabilities of automated investment managers, or robo-advisors, by accurately inferring clients' investment preferences from past activities. Our approach leverages…

Optimization and Control · Mathematics 2024-06-05 Haoyang Cao , Zhengqi Wu , Renyuan Xu

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

Functional data analysis offers a diverse toolkit of statistical methods tailored for analyzing samples of real-valued random functions. Recently, samples of time-varying random objects, such as time-varying networks, have been increasingly…

Methodology · Statistics 2025-03-10 Jiazhen Xu , Andrew T. A. Wood , Tao Zou

The scheduling problem in Hurdle (1973) was formulated in a general form that simultaneously concerned the vehicle dispatching, circulating, fleet sizing, and patron queueing. As a constrained variational problem, it remains not fully…

Optimization and Control · Mathematics 2021-06-11 Wenbo Fan