Specific examples would be greatly appreciated.
1a) letting me know about a problem when it's still a tiny problem rather than waiting until it's too big for them to handle.
1b) having possible solutions to the problems that they bring to me. I may not use the solutions, but it's good to know that people are thinking like problem-solvers.
What doesn't help:
1) see 1a
2) Pawning off their responsibilities on their subordinates OR flat out not doing the little things that they think that no one pays attention to.