Actually, just thought of something:
One fair way to do this could be: your chance of being a Titan is determined by your medal count, with each medal increasing your chance by X%. Players get chances to rank decisions. If a decision you participated in (so a decision made during your tenure) gets below a certain "threshold" of feedback, nothing happens. But, if your decision gets above that threshold, you get, say, a trust medal, thus increasing your chance next time around, without reducing anonymity.
Still has the problem of populist decisions, of course, but maybe somebody else will come up with a solution for that.
