That still isn't quite right. Pareto optimal better describes transitions than states. A state can be described as Pareto optimal only in the sense that there are no Pareto optimal transitions out of it. So for example, in prisoner's dilemma, all of the states are Pareto optimal because none of the moves are. No matter what anyone does, somebody will be worse off than the alternative.

As another example, "I get everything, you get nothing" isn't necessarily Pareto optimal because there could be something non-rivalrous that the person getting nothing could have without depriving the person getting everything of it.