It's definitely a cool concept. The main problem being I think is incentive to adopt. Without the weight of reputation having meaning behind it, no one will care and thus the intended effect disappears.
So a bunch of fake accounts aren't going to influence a's perception of b,unless a has trusted someone who'se created those fake accounts. IN that case, the mistake a made was trusting someone (directly or indirectly) who'se created a bunch of fake accounts.
Because the input weight of a person decreases with their distance on the graph from a, the only sybil attacks that would screw you up would be ones conducted by people who you've said you trust.
My goal is to gradually expand filter bubbles, rather than try to pop them.
In fact, make a complete subgraph of order 9 or more of people who respect each other. That subgraph has order-N respect that goes to infinity for anyone who has any respect for any of its members, even transitively.
https://github.com/neyer/dewdrop
With a much simpler version of the same concept here
https://github.com/neyer/respect
I think it's doable.