Not sure if this is a bug, or if no one ever thought it would happen and thus never coded anything to keep it from happening, but during a campaign game today (the map pack campaign) I noticed that as soon as I had killed one bot, he ran around the corner behind me and started shooting. I thought maybe he had spawned right there, but then I saw him fighting himself later, and there were two of the same bot in the scoreboard.
Video of the two fighting:
http://www.mediafire.com/?kymzm2zytxm (sorry it's 5 MB for a 4-second video. I'll change my bitrate next time!)
They acted as separate bots (despite having the same score in that screenshot). They acted normal, there were just two of the same bot. Their scores changed at different times (one of them actually won and the other came in like third).