Now it's a dilemma. I can just write up my answer and wait to post it until someone else posts, maximizing the amount of reputation I'd get for the same answer. If everyone does the same, the net outcome is a longer waiting period to get answers to questions. I'd rather keep game theory out of it.

A possible solution: When someone answers, the karma clock is "reset", so it is then based on the time since the last answer given.

Snap! That's a good idea. :)