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Cross-world identity/Rigidity/HintikkaVsKripke: it is more about the way of identification (public/perspective, see above) than about rigidity or non-rigidity.
The way of identification decides what counts as one and the same individual.
HintikkaVsKripke: his concept of rigidity is implicitly founded on Russell's notion of the logical proper name. There is, however, no excellent class of rigid expression terms.
Proper names/names/HintikkaVsKripke: proper names are by no means always rigid. E.g. it may be that I do not know to whom the name N.N. refers. Then I have different epistemic alternatives, with different referents. Therefore it makes sense to ask "Who is N.N.?".
Public/Perspective/Identification/Russell/Kripke/Hintikka: Russell: Russell focuses on the perspective.
Kripke/Hintikka: on the public identification.
Jaakko and Merrill B. Hintikka
The Logic of Epistemology and the Epistemology of Logic Dordrecht 1989
J. Hintikka/M. B. Hintikka
Untersuchungen zu Wittgenstein Frankfurt 1996