Reinforcement Learning with Pairwise Preferences in Long-Term Decision Problems

Fuente: arXiv
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Autori principali: Carr, Jonathan Colaço, Panangaden, Prakash, Precup, Doina, Van Roy, Benjamin
Natura: Preprint
Pubblicazione: 2026
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author Carr, Jonathan Colaço
Panangaden, Prakash
Precup, Doina
Van Roy, Benjamin
author_facet Carr, Jonathan Colaço
Panangaden, Prakash
Precup, Doina
Van Roy, Benjamin
contents Reinforcement learning problems typically define the goal as maximizing the expected value of a scalar reward function. But, pairwise preferences are often easier to specify than scalar rewards, and they express certain goals that scalar rewards cannot. Methods for reinforcement learning with pairwise preferences have thus received growing interest. Unfortunately, these methods are inefficient in problems with long time horizons, and they lack guarantees on the performance of Markov policies relative to history-dependent policies, which bridge the theory and practice of reinforcement learning. We therefore propose the \textit{Markov decision contest} as a new problem model for reinforcement learning with pairwise preferences. We prove that stationary Markov policies are optimal among all history-dependent policies, that solving a Markov decision contest exactly is in P, and that a simple iterative algorithm converges to an optimal policy at a sublinear rate. Lastly, in a set of high-dimensional decision problems with long time horizons, we show that our approximate algorithm is significantly more learning-efficient than prior work.
format Preprint
id arxiv_https___arxiv_org_abs_2606_00367
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Reinforcement Learning with Pairwise Preferences in Long-Term Decision Problems
Carr, Jonathan Colaço
Panangaden, Prakash
Precup, Doina
Van Roy, Benjamin
Machine Learning
Artificial Intelligence
Reinforcement learning problems typically define the goal as maximizing the expected value of a scalar reward function. But, pairwise preferences are often easier to specify than scalar rewards, and they express certain goals that scalar rewards cannot. Methods for reinforcement learning with pairwise preferences have thus received growing interest. Unfortunately, these methods are inefficient in problems with long time horizons, and they lack guarantees on the performance of Markov policies relative to history-dependent policies, which bridge the theory and practice of reinforcement learning. We therefore propose the \textit{Markov decision contest} as a new problem model for reinforcement learning with pairwise preferences. We prove that stationary Markov policies are optimal among all history-dependent policies, that solving a Markov decision contest exactly is in P, and that a simple iterative algorithm converges to an optimal policy at a sublinear rate. Lastly, in a set of high-dimensional decision problems with long time horizons, we show that our approximate algorithm is significantly more learning-efficient than prior work.
title Reinforcement Learning with Pairwise Preferences in Long-Term Decision Problems
topic Machine Learning
Artificial Intelligence
url https://arxiv.org/abs/2606.00367