I think this situation calls for "how to deal with rudeness", altho that is closesly related to stupidity. anyway, my favorite approach is to return rudeness with overly-exageratted friendliness. you got to really make sure to go way over the top though, so they can get drenched in the sarcasm. as in your case, i use to do hourly foot patrols as part of my job, and this same thing has happened many times. i like to stop in front of them, give a big friendly smile, and wave. like, "Oh it's you! how ARE you doing?"

yeah, you're taking a chance of being run over, but how much can that really hurt anyway? lol. the other approach i like is to antagonize them with completely innocent things. favorite example was the buisness woman that was late for a meeting and kept trying to blow past all the check-in security measures. while kindly asking how her day was (even tho it was obvious it wasn't going good for her), we made sure to enforce every little last security check...the ones we generally never did but had it in our power to. and when she really started going off, calmly said "you don't have to go through these checkpoints, the exit doors right there if you want to go back home".

the reason these ways of dealing with things are soo great is that, even though you don't really get to see the results, when they get wherever they're going and are still ****ed off they go ranting to someone "can you believe they waved hello to me? that a-hole!" and then sound completely retarded to whoever they're ranting to. anyway, that's just how i roll, later my peeps! (...just thought i'd try that, i'm too redneck to pull it off tho).

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I'm like one of those idiot savants...well, except for the savant part.
"In order to increase awareness of the homeless, security have been given binoculars."