  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.
