Nozick mentioned PD. I've always heard it asserted that Newcomb started with PD (eg, here).

Oddly, Nozick does not give Newcomb's first name. He talks about the problem on page 1, but waits to page 10 to say that it is the problem in the title of the paper.

Someone building a decision theory can equally well say that Newcomb's problem and someone who threatens to duplicate them and make them play PD against their duplicate are equally unfair, but that's not the connection.