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Monotonic Value Function Factorisation for Deep Multi-Agent Reinforcement Learning
Tabish Rashid Mikayel Samvelyan Christian Schroeder de Witt Gregory Farquhar Jakob Foerster Shimon Whiteson

Abstract
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.
Code Repositories
Benchmarks
| Benchmark | Methodology | Metrics |
|---|---|---|
| smac-on-smac-27m-vs-30m | QMIX | Median Win Rate: 49 |
| smac-on-smac-3s5z-vs-3s6z-1 | QMIX | Median Win Rate: 2 |
| smac-on-smac-6h-vs-8z-1 | QMIX | Median Win Rate: 3 |
| smac-on-smac-corridor | QMIX | Median Win Rate: 1 |
| smac-on-smac-mmm2-1 | QMIX | Median Win Rate: 69 |
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