In multi-agent reinforcement learning (MARL), agents must learn how to interact and cooperate with each other in an environment to achieve a common objective. In such settings, off-policy correction is a technique used to overcome the problem of non-stationarity of the environment due to the presence of other agents, which may have their own policies.
Off-policy correction is the process of correcting the estimation of the value function or policy of an agent based on experiences that were generated by other agents following different policies. In other words, the agent learns from the experiences of other agents even if those experiences were not generated by following the agents own policy.
The main challenge in off-policy correction is how to account for the other agents behavior, which is typically unknown to the learning agent. There are several approaches to off-policy correction in MARL, such as importance sampling, state-aggregation, and joint action learning.
One of the most popular methods is the Q-learning algorithm with experience replay, called multi-agent deep deterministic policy gradient (MADDPG). MADDPG uses a centralized critic that estimates the Q-functions for each agent and a decentralized actor that learns a policy for each agent independently. The centralized critic is used to correct the off-policy estimation by considering the actions of all agents, while the decentralized actor learns its policy by only considering its own observations and actions.
To illustrate, consider a scenario where two robotic agents are playing soccer. Each agent has its own policy, and they learn by interacting with each other and the ball. Off-policy correction is important in this case because the environment is changing due to the other agents behavior. One agent may learn from past experiences where the other agent made a move that was not optimal, and thus adjust its policy accordingly to avoid that move in the future. The other agent may learn from these same experiences, but for a different reason, such as learning what not to do in a certain situation. By using off-policy correction, each agent can learn from these experiences without having to experience them themselves.