What is the difference between correlated equilibrium and mixed equilibrium?
Here's what I understand :
Unlike a pure Nash equilibrium, a mixed equilibrium corresponds to when each player has a probability distribution he follows instead of pure actions (single action with probability one).
Also, what I understand by correlated equilibrium is that it corresponds to when someone tells each player to follow some particular probability distribution, and each player plays according to that.
What I don't understand is what is the difference between these two? Can't one be modeled as the other?