Banks, Iain M. The Algebraist

Iain M. Banks, The Algebraist (2005). A non-Culture novel (although barely, I reckon). In terms of economics, it's notable for its reputation currency kudos (used by the Dwellers). Here's a snippet:
Bribing creatures who found the concept of money merely amusing tended to tax even the most enterprising and talented arbitrageur. The Dwellers clove to a system in which power was distributed, well, more or less randomly, it sometimes seemed, and authority and influence depended almost entirely on one's age; little leverage there.  
Alternatively, every now and again a species would attempt to take by force of arms what those involved in Dweller Studies attempted to wrest from the Dwellers by polite but dogged inquiry. Force, it had been discovered - independently, amazingly often - did not really work with Dwellers. They felt no pain, held their own continued survival (and that of others, given the slightest provocation) to be of relatively little consequence and seemed to embody, apparently at the cellular level, the belief that all that really mattered, ever, was a value unique to themselves which they defined as a particular kind of kudos, one of whose guiding principles appeared to be that if any outside influence attempted to mess with them they had to resist it to the last breath in the bodies of all concerned, regardless.
And another:
The problem was that to the Dwellers all professions were in effect hobbies, all posts and positions sinecures. This tailor that Y'sul and the City Administrator were babbling on about would have had no real need to be a tailor, he was just somebody who'd found he possessed an aptitude for the pastime (or, more likely, for the gossiping and fussing generally associated with it). He would take on clients to increase his kudos, the level of which would increase proportionally the more powerful were the people he tailored for, so that somebody in a position of civil power would constitute a favoured client, even if that position of power had come about through a lottery, some arcanely complicated rota system or plain old coercive voting - jobs like that of City Administrator were subject to all those regimes and more, depending on the band or zone concerned, or just which city was involved. The City Administrator, in return, would be able to drop casually into just the right conversations the fact she had such a well-known, high-kudos tailor. Obviously Y'sul had had sufficient kudos of his own to be able to engage the services of this alpha-outfitter too. People further down the pecking order would have employed less well-connected tailors, or just got their clothes from Common, which was Dweller for, in this particular case, off-the-peg, and in general just meant mass-produced, kudos-free, available-as-a-matter-of-right-just-because you're-a-Dweller . . . well, pretty much anything, up to and including spaceships.
Kudos makes for some interesting comparisons with Cory Doctorow's Whuffie, Karen Lord's social credit, and the trust "currency" of Michael Swanwick's millies.

Also see Abigail Nussbaum's review.