Using utility graphs to search for Pareto-optimal outcomes in complex, interdependent issue negotiations

Fuente: arXiv
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Autori principali: Robu, Valentin, Klein, Mark
Natura: Preprint
Pubblicazione: 2025
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author Robu, Valentin
Klein, Mark
author_facet Robu, Valentin
Klein, Mark
contents This paper studies how utility graphs decomposition algorithms can be used to effectively search for Pareto-efficient outcomes in complex automated negotiation. We propose a number of algorithms that can efficiently handle high-dimensional utility graphs, and test them on a variety of utility graph topologies, generated based on state of the art methods for analysing complex graphs. We show that we can achieve exponential speed-up, for many structures, even for very large utility graphs. To our knowledge, our approach can handle the largest utility spaces to date for complex interdependent negotiations, in terms of number of issues. Moreover, we examine the performance of our algorithms across two different types of elicitation queries from the literature: value and comparison queries, thus making a connection between automated negotiation and the preference elicitation literature.
format Preprint
id arxiv_https___arxiv_org_abs_2509_10885
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Using utility graphs to search for Pareto-optimal outcomes in complex, interdependent issue negotiations
Robu, Valentin
Klein, Mark
Multiagent Systems
05C90
I.2.11
This paper studies how utility graphs decomposition algorithms can be used to effectively search for Pareto-efficient outcomes in complex automated negotiation. We propose a number of algorithms that can efficiently handle high-dimensional utility graphs, and test them on a variety of utility graph topologies, generated based on state of the art methods for analysing complex graphs. We show that we can achieve exponential speed-up, for many structures, even for very large utility graphs. To our knowledge, our approach can handle the largest utility spaces to date for complex interdependent negotiations, in terms of number of issues. Moreover, we examine the performance of our algorithms across two different types of elicitation queries from the literature: value and comparison queries, thus making a connection between automated negotiation and the preference elicitation literature.
title Using utility graphs to search for Pareto-optimal outcomes in complex, interdependent issue negotiations
topic Multiagent Systems
05C90
I.2.11
url https://arxiv.org/abs/2509.10885