I'll be honest, I have really mixed feelings about the current system involving paying for investigation efforts with Luck Points. They're a limited pool for things you should be able to quite reasonably do, and having utilized the mechanic when prompted, my result didn't seem like it merited the effort to spend it - which was basically "all of your research comes up with nothing, but you did notice someone else looking into it". That was excellent for giving me a hook into RP with other people, but I just feel like the notion of something with such a nebulous pay-off should not require use of a resource pool that can diminish.
I'm also willing to have it explained to me more thoroughly. I'm not looking to attack anybody, I'm just here to have a good time.