# Multi-objective dynamic programming with limited precision

arXiv: https://arxiv.org/abs/2009.08198 · HTML: https://mlsanity.com/paper/2009.08198/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 17 Sep 2020.

## Built on by (most cited first, 1 of 1)

- [Distributional Multi-Objective Decision Making](https://mlsanity.com/paper/2305.05560/) (2023)

## Abstract (arXiv)

This paper addresses the problem of approximating the set of all solutions for Multi-objective Markov Decision Processes. We show that in the vast majority of interesting cases, the number of solutions is exponential or even infinite. In order to overcome this difficulty we propose to approximate the set of all solutions by means of a limited precision approach based on White's multi-objective value-iteration dynamic programming algorithm. We prove that the number of calculated solutions is tractable and show experimentally that the solutions obtained are a good approximation of the true Pareto front.