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Main Authors: Baisero, Andrea, Bhati, Rupali, Liu, Shuo, Pillai, Aathira, Amato, Christopher
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2505.10484
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author Baisero, Andrea
Bhati, Rupali
Liu, Shuo
Pillai, Aathira
Amato, Christopher
author_facet Baisero, Andrea
Bhati, Rupali
Liu, Shuo
Pillai, Aathira
Amato, Christopher
contents Value function decomposition methods for cooperative multi-agent reinforcement learning compose joint values from individual per-agent utilities, and train them using a joint objective. To ensure that the action selection process between individual utilities and joint values remains consistent, it is imperative for the composition to satisfy the individual-global max (IGM) property. Although satisfying IGM itself is straightforward, most existing methods (e.g., VDN, QMIX) have limited representation capabilities and are unable to represent the full class of IGM values, and the one exception that has no such limitation (QPLEX) is unnecessarily complex. In this work, we present a simple formulation of the full class of IGM values that naturally leads to the derivation of QFIX, a novel family of value function decomposition models that expand the representation capabilities of prior models by means of a thin "fixing" layer. We derive multiple variants of QFIX, and implement three variants in two well-known multi-agent frameworks. We perform an empirical evaluation on multiple SMACv2 and Overcooked environments, which confirms that QFIX (i) succeeds in enhancing the performance of prior methods, (ii) learns more stably and performs better than its main competitor QPLEX, and (iii) achieves this while employing the simplest and smallest mixing models.
format Preprint
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institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Fixing Incomplete Value Function Decomposition for Multi-Agent Reinforcement Learning
Baisero, Andrea
Bhati, Rupali
Liu, Shuo
Pillai, Aathira
Amato, Christopher
Machine Learning
Value function decomposition methods for cooperative multi-agent reinforcement learning compose joint values from individual per-agent utilities, and train them using a joint objective. To ensure that the action selection process between individual utilities and joint values remains consistent, it is imperative for the composition to satisfy the individual-global max (IGM) property. Although satisfying IGM itself is straightforward, most existing methods (e.g., VDN, QMIX) have limited representation capabilities and are unable to represent the full class of IGM values, and the one exception that has no such limitation (QPLEX) is unnecessarily complex. In this work, we present a simple formulation of the full class of IGM values that naturally leads to the derivation of QFIX, a novel family of value function decomposition models that expand the representation capabilities of prior models by means of a thin "fixing" layer. We derive multiple variants of QFIX, and implement three variants in two well-known multi-agent frameworks. We perform an empirical evaluation on multiple SMACv2 and Overcooked environments, which confirms that QFIX (i) succeeds in enhancing the performance of prior methods, (ii) learns more stably and performs better than its main competitor QPLEX, and (iii) achieves this while employing the simplest and smallest mixing models.
title Fixing Incomplete Value Function Decomposition for Multi-Agent Reinforcement Learning
topic Machine Learning
url https://arxiv.org/abs/2505.10484