Is it useful to list the exact name of a prize or grant in a resume? Given that a lot of prizes or grants are specific to a particular university, is there any point in listing the exact name of a prize or grant on one's resume?

For example, if I say that I won "John Doe Scholarship" or "Mary Doe Thesis Award", it won't really mean anything to someone outside the university. Would it be easier just to say you won scholarships/grants and an award for your thesis?
Unless you won a huge amount of awards, I would be quite specific: "John Doe award from XYZ university for best master thesis in 2014".

Even when you have won many awards, it still makes sense to be specific about the most important ones, and be brief about the others.