Prisoner's Dilemma relies on causality, Newcomb's Paradox is anti-causality.

The contents of Newcomb's boxes are caused by the kind of agent you are -- which are (effectively by definition of what 'kind of agent' means) mapped directly to what decision you will take.

Newcomb's paradox can only be called anti-causality only in some confused anti-compatibilist sense in which determinism is opposed to free will and therefore "the kind of agent you are" must be opposed to "the decisions you make" -- instead of absolutely correlating to them.