Cory Doctorow, Down and Out in the Magic Kingdom (2003).
If you're doing an economics and science fiction reading list, this should be pretty near the top.
I talked a bit about this book and its quasi-magical reputation currency, Whuffie, in my review of Doctorow's Pirate Cinema.
The TL;DR version is: maybe it's interesting to compare Whuffie and DRM (or at least, the things DRM would imagine itself doing in the best of all possible worlds). Why quasi-magical? Nowadays it's difficult not to see Whuffie through the lens of algorithmic governmentality, Uber, platform capitalism, Peeple, etc. But it may also be worth drilling down to the conceit that underlies Whuffie: a system that can evaluate feelings and work out exactly what they're about and the ways in which they're good or bad (hence 'reality'-based currency).
Also see under Paul Graham Raven below. For other exotic currencies that are perhaps made out of trust or reputation, see entries for Iain M. Banks, Karen Lord, and Michael Swanwick.