Papers › Monotonic Value Function Factorisation for Deep Multi-Agent Reinforcement Learning

Monotonic Value Function Factorisation for Deep Multi-Agent Reinforcement Learning

19 Mar 2020arXiv:2003.08839archive 2025-07-28

Tabish Rashid, Mikayel Samvelyan, Christian Schroeder de Witt, Gregory Farquhar, Jakob Foerster, Shimon Whiteson

In many real-world settings, a team of agents must coordinate its behaviour while acting in a decentralised fashion. At the same time, it is often possible to train the agents in a centralised fashion where global state information is available and communication constraints are lifted. Learning joint action-values conditioned on extra state information is an attractive way to exploit centralised learning, but the best strategy for then extracting decentralised policies is unclear. Our solution is QMIX, a novel value-based method that can train decentralised policies in a centralised end-to-end fashion. QMIX employs a mixing network that estimates joint action-values as a monotonic combination of per-agent values. We structurally enforce that the joint-action value is monotonic in the per-agent values, through the use of non-negative weights in the mixing network, which guarantees consistency between the centralised and decentralised policies. To evaluate the performance of QMIX, we propose the StarCraft Multi-Agent Challenge (SMAC) as a new benchmark for deep multi-agent reinforcement learning. We evaluate QMIX on a challenging set of SMAC scenarios and show that it significantly outperforms existing multi-agent reinforcement learning methods.

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Tasks

Multi-agent Reinforcement LearningReinforcement LearningReinforcement Learning (RL)SMACSMAC+Starcraftreinforcement-learning

Results from the paper archive 2025-07-28

TaskDatasetModelMetricValueRank at snapshotLeaderboardReport
SMAC SMAC 27m_vs_30m QMIX Median Win Rate 49 #8 of 11 Archive leaderboard report
SMAC SMAC 3s5z_vs_3s6z QMIX Median Win Rate 2 #11 of 13 Archive leaderboard report
SMAC SMAC 6h_vs_8z QMIX Median Win Rate 3 #7 of 14 Archive leaderboard report
SMAC SMAC MMM2 QMIX Median Win Rate 69 #10 of 14 Archive leaderboard report
SMAC SMAC corridor QMIX Median Win Rate 1 #11 of 13 Archive leaderboard report

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