This is the pre-proceedings for the RLC 2026. You may expect minor changes.

Fixing Incomplete Value Function Decomposition for Multi-Agent Reinforcement Learning

By Andrea Baisero, Rupali Bhati, Shuo Liu, Aathira Sunil Pillai, and Christopher Amato

Reinforcement Learning Journal, vol. 7, 2026, pp. TBD.

Will be presented at the Reinforcement Learning Conference (RLC), MontrĂ©al, Quebec, Canada, August 15–17, 2026.


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Keywords: multi-agent, reinforcement-learning, value-function-decomposition, cooperative,

Abstract:

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 instances in two well-known multi-agent frameworks. We perform an empirical evaluation on multiple SMACv2 and Overcooked environments, which confirms that QFIX (i) enhances the performance of prior non-IGM-complete methods, (ii) learns more robustly and matches or exceeds its main competitor QPLEX, and (iii) employs the simplest and smallest mixing models.


Citation Information:

Andrea Baisero, Rupali Bhati, Shuo Liu, Aathira Sunil Pillai, and Christopher Amato. "Fixing Incomplete Value Function Decomposition for Multi-Agent Reinforcement Learning." Reinforcement Learning Journal, vol. 7, 2026, pp. TBD.

BibTeX:
@article{baisero2026fixing,
    title={Fixing Incomplete Value Function Decomposition for Multi-Agent Reinforcement Learning},
    author={Andrea Baisero and Rupali Bhati and Shuo Liu and Aathira Sunil Pillai and Christopher Amato},
    journal={Reinforcement Learning Journal},
    volume={7},
    pages={},
    year={2026}
}