A potentialization algorithm for games with applications to multi-agent learning in repeated games

Fuente: arXiv
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Autori principali: Lakheshar, Philipp, Rezagholi, Sharwin
Natura: Preprint
Pubblicazione: 2026
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author Lakheshar, Philipp
Rezagholi, Sharwin
author_facet Lakheshar, Philipp
Rezagholi, Sharwin
contents We investigate an algorithm that assigns to any game in normal form an approximating game that admits an ordinal potential function. Due to the properties of potential games, the algorithm equips every game with a surrogate reward structure that allows efficient multi-agent learning. Numerical simulations using the replicator dynamics show that 'potentialization' guarantees convergence to stable agent behavior.
format Preprint
id arxiv_https___arxiv_org_abs_2602_18925
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle A potentialization algorithm for games with applications to multi-agent learning in repeated games
Lakheshar, Philipp
Rezagholi, Sharwin
Multiagent Systems
Computer Science and Game Theory
We investigate an algorithm that assigns to any game in normal form an approximating game that admits an ordinal potential function. Due to the properties of potential games, the algorithm equips every game with a surrogate reward structure that allows efficient multi-agent learning. Numerical simulations using the replicator dynamics show that 'potentialization' guarantees convergence to stable agent behavior.
title A potentialization algorithm for games with applications to multi-agent learning in repeated games
topic Multiagent Systems
Computer Science and Game Theory
url https://arxiv.org/abs/2602.18925