Yes, Sydney_b was talking about Lincoln, NE. She beat me to the comments.
The striped paths are referred to on the official trail map (checking) as "All weather commuter trails." One in particular has a parallel walking trail that I see many of the slower folk, people with dogs and/or kids on, but honestly, not as often as I'd like.
The "highway markings" are mostly successful, as people are used to the dashed yellow lines on the highway. It is not fool-proof, however, and there are many fools.
As a practicle matter, I have found that my bike bell clears the way better than my voice, though I speak, too, and then thank the passee for moving over. In situations (small kids, clueless adults) where I'm passing on the "wrong" side I say "Coming through!" For people who are directionally challenged (me!) it's more reliable.
Another factor that may make our trails civilized is that we have quite a few, all over town. This spreads the use, and the general knowledge of trail ettiquite is reasonably high.
Give big space to the festive dog that make sport in the roadway. Avoid entanglement with your wheel spoke.
(Sign in Japan)
1978 Raleigh Gran Prix
2003 EZ Sport AX