Anonymity vs reputation question

Thinking about something, I found an interesting problem. It is possible to set up a reputation-based system with nyms, where every nym is an identity with attached reputation. The problem is, a nym that exists for a long time can get its anonymity partially or fully compromised. Abandonment of the nym and using a blank one leads to loss of the reputation and related credibility. Is it possible to have a system where nyms can share reputation without divulging the links between them? That would allow the possibility of eg. publishing as a "new" identity while still having the "weight" of an already established seasoned professional. I suppose this problem is already known and maybe even solved. Am I correct?