Well a few things hopefully. The karma system is primarily intended to discourage extremes of poor behaviour, like excessive ganking & CLogging. Plus they can claim each others bounties now and I understand within some player groups it's normal to help out the newbie by letting them do just that to build up funds. Cash is relatively trivial to obtain now (compared to launch) so throwing a little more cash their way is seen as the lesser evil I guess.
One of the big, fundamental issues with most of the suggestions in this thread is that the baddie isn't likely to die, they'll just jump away if they want to. A potential solution to this comes via karma, where a certain pattern of behaviour could lead to the player's ship being impounded when they dock, effectively forcing them into a free sidewinder.
Several threads have popped up recently discussing the gameplay potential of a karma system, and/or a crime & punishment (C&P) overhaul, and this is one of those threads. Actually being able to do this stuff in the game is probably going to come well after the initial implementation of the karma system, and we don't even have an eta for that.
I don't mind chipping in on stuff like this but I'd like to help the Karma system stand the best chance of being well received by the playerbase before worrying too much about what else it could do. Gotta talk about something though eh?