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This paper provides new conditions for dynamic optimality in discrete time and uses them to establish fundamental dynamic programming results for several commonly used recursive preference specifications. These include Epstein-Zin…

General Economics · Economics 2020-06-23 Guanlong Ren , John Stachurski

The undercut procedure was presented by Brams et al. [2] as a procedure for identifying an envy-free allocation when agents have preferences over sets of objects. They assumed that agents have strict preferences over objects and their…

Computer Science and Game Theory · Computer Science 2014-02-11 Haris Aziz

We take the first step in studying general sequential decision-making under two adaptivity constraints: rare policy switch and batch learning. First, we provide a general class called the Eluder Condition class, which includes a wide range…

Machine Learning · Computer Science 2023-12-07 Nuoya Xiong , Zhaoran Wang , Zhuoran Yang

Preference-based Reinforcement Learning (PbRL) replaces reward values in traditional reinforcement learning by preferences to better elicit human opinion on the target objective, especially when numerical reward values are hard to design or…

Machine Learning · Computer Science 2020-10-27 Yichong Xu , Ruosong Wang , Lin F. Yang , Aarti Singh , Artur Dubrawski

This paper reports results of a network theory approach to the study of the United States patent system. We model the patent citation network as a discrete time, discrete space stochastic dynamic system. From data on more than 2 million…

Physics and Society · Physics 2007-05-23 Gabor Csardi , Katherine J Strandburg , Laszlo Zalanyi , Jan Tobochnik , Peter Erdi

In this paper, we present a link between preference-based and multiobjective sequential decision-making. While transforming a multiobjective problem to a preference-based one is quite natural, the other direction is a bit less obvious. We…

Artificial Intelligence · Computer Science 2017-01-04 Paul Weng

We consider the challenge of preference elicitation in systems that help users discover the most desirable item(s) within a given database. Past work on preference elicitation focused on structured models that provide a factored…

Artificial Intelligence · Computer Science 2012-07-19 Ronen I. Brafman , Carmel Domshlak , Tanya Kogan

We consider a revenue-maximizing seller with $n$ items facing a single buyer. We introduce the notion of symmetric menu complexity of a mechanism, which counts the number of distinct options the buyer may purchase, up to permutations of the…

Computer Science and Game Theory · Computer Science 2020-05-08 Pravesh Kothari , Divyarthi Mohan , Ariel Schvartzman , Sahil Singla , S. Matthew Weinberg

Timing decisions are common: when to file your taxes, finish a referee report, or complete a task at work. We ask whether time preferences can be inferred when \textsl{only} task completion is observed. To answer this question, we analyze…

Theoretical Economics · Economics 2019-05-13 Paul Heidhues , Philipp Strack

This paper studies the differentiability of the value function of switched linear systems under arbitrary switching and controlled switching, referred to as worst-case and optimal value functions respectively. First, we show that the value…

Optimization and Control · Mathematics 2025-11-26 Guillaume O. Berger

Euclidean preferences are a widely studied preference model, in which decision makers and alternatives are embedded in d-dimensional Euclidean space. Decision makers prefer those alternatives closer to them. This model, also known as…

Computer Science and Game Theory · Computer Science 2016-02-29 Dominik Peters

In preference-based reinforcement learning (PbRL), a reward function is learned from a type of human feedback called preference. To expedite preference collection, recent works have leveraged \emph{offline preferences}, which are…

Machine Learning · Computer Science 2024-03-18 Guoxi Zhang , Han Bao , Hisashi Kashima

Humans often juggle multiple, sometimes conflicting objectives and shift their priorities as circumstances change, rather than following a fixed objective function. In contrast, most computational decision-making and multi-objective RL…

Artificial Intelligence · Computer Science 2026-03-25 Xianwei Cao , Dou Quan , Zhenliang Zhang , Shuang Wang

Determining consumer preferences and utility is a foundational challenge in economics. They are central in determining consumer behaviour through the utility-maximising consumer decision-making process. However, preferences and utilities…

Machine Learning · Computer Science 2025-03-18 Marta Grzeskiewicz

Preference elicitation plays a central role in interactive recommender systems. Most preference elicitation approaches use either item queries that ask users to select preferred items from a slate, or attribute queries that ask them to…

Information Retrieval · Computer Science 2023-11-07 Erdem Biyik , Fan Yao , Yinlam Chow , Alex Haig , Chih-wei Hsu , Mohammad Ghavamzadeh , Craig Boutilier

In Demand Response programs, price incentives might not be sufficient to modify residential consumers load profile. Here, we consider that each consumer has a preferred profile and a discomfort cost when deviating from it. Consumers can…

Optimization and Control · Mathematics 2017-12-01 Paulin Jacquot , Olivier Beaude , Nadia Oudjane , Stephane Gaubert

We provide an axiomatic characterization of lexicographic preferences over the set of all random availability functions using two assumptions. The first assumption is strong monotonicity, which in our framework is equivalent to the strong…

Theoretical Economics · Economics 2025-11-03 Somdeb Lahiri

In this work we introduce a variant of the Yule-Simon model for preferential growth by incorporating a finite kernel to model the effects of bounded memory. We characterize the properties of the model combining analytical arguments with…

Physics and Society · Physics 2018-02-28 Ana L. Schaigorodsky , Juan I. Perotti , Nahuel Almeira , Orlando V. Billoni

Recently several authors have proposed stochastic evolutionary models for the growth of complex networks that give rise to power-law distributions. These models are based on the notion of preferential attachment leading to the ``rich get…

Soft Condensed Matter · Physics 2007-05-23 Trevor Fenner , Mark Levene , George Loizou

Linear temporal logic (LTL) offers a simplified way of specifying tasks for policy optimization that may otherwise be difficult to describe with scalar reward functions. However, the standard RL framework can be too myopic to find maximally…

Machine Learning · Computer Science 2023-03-06 Cameron Voloshin , Abhinav Verma , Yisong Yue
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