I'm new to reinforcement learning.
As it is common in RL, $\epsilon$-greedy search for the behavior/exploration is used. So, at the beginning of the training, $\epsilon$ is high, and therefore a lot of random actions are chosen. With time, $\epsilon$ decreases and we often choose the best action.
I was wondering, e.g. in Q-Learning, if $\epsilon$ is small, e.g. 0.1 or 0.01, do the Q-values really still change? Do they just change their direction, i.e. the best action remains the best action but the Q-values diverge further, or do the values really change again so that the best action always changes for a given state?
If the Q-values really do still change strongly, is it because of the remaining random actions, which we still have at $\epsilon>0$ or would it still change at $\epsilon=0$?