Memory

In both Hiroshima mon amour and Last Year at Marienbad, there are themes of repetitiveness and seemingly lost memories. The movies are both directed by Alain Renais and the characters are nameless. The woman in Last Year in Marienbad denies ever meeting the man who is incessantly telling her that they had met before and in Hiroshima mon amour She is telling Him, using repetitive dialogue certain things that Him denies ever happened.

What do you think was the point in not giving the characters names? I think it makes the viewers wonder if the memories were in fact true.