I saw this question today: A Topology such that the continuous functions are exactly the polynomials
Franklin.vp almost used up two thirds of his today reputation to offer this bounty, it is pretty a bummer for him if there is no nice answer popping up in 7 days. For this question, which looks like not an easy problem to me though I am not by any means an expert in algebraic topology, I wonder if there is any mechanism to offer a bounty with much longer period.
Another example came into my mind was this question: Probability that a stick randomly broken in five places can form a tetrahedron
Should a more flexible bounty system be introduced to MSE? Like with 5k rep you can offer a bounty up to a month, and with 10k rep you can offer bounty up to half a year.
EDIT: I did a search and saw Jeff Atwood's answer here: Is the time scale for bounties too short on stack exchange? I certain do not agree with him on point 3, at least bounty makes the question in the featured tab and gets the question more exposure over a long period of time.