  Cooperative multi-agent systems can be naturally used to model many real
world problems, such as network packet routing and the coordination of
autonomous vehicles. There is a great need for new reinforcement learning
methods that can efficiently learn decentralised policies for such systems. To
this end, we propose a new multi-agent actor-critic method called
counterfactual multi-agent (COMA) policy gradients. COMA uses a centralised
critic to estimate the Q-function and decentralised actors to optimise the
agents' policies. In addition, to address the challenges of multi-agent credit
assignment, it uses a counterfactual baseline that marginalises out a single
agent's action, while keeping the other agents' actions fixed. COMA also uses a
critic representation that allows the counterfactual baseline to be computed
efficiently in a single forward pass. We evaluate COMA in the testbed of
StarCraft unit micromanagement, using a decentralised variant with significant
partial observability. COMA significantly improves average performance over
other multi-agent actor-critic methods in this setting, and the best performing
agents are competitive with state-of-the-art centralised controllers that get
access to the full state.
