I have a question with no answers on Stack Overflow.
Can I flag the question and ask a moderator to set a bounty on it, because I don't have enough reputation to start a bounty on my own?
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No, that would not be appropriate, and the flag is very likely to be declined. Moderators are elected/appointed to ... moderate ... the site, and putting bounties on questions isn't one of their tasks. They'd have to pay the bounty from their own reputation, and just like other users, they can only have three active bounties at a time. Just imagine what would happen if all users would start requesting this ...
This FAQ entry: How do I get attention for one of my own questions without a good answer? contains some additional ideas for how to draw more attention to your question.
(Anecdotally, I remember a handful of cases where a ♦ moderator did post a bounty on somebody else's question because (s)he thought the question deserved it, not to gain any personal benefit from it. This is an exception though, and most certainly not limited to ♦ moderators.)
... because I don't have enough reputation to start a bounty on my own ...
Some people have dreams ... others wake up and work (hard) on it ...
Looking at your current "reputation" on SO, you're only missing 2 more reputation points to actually earn the privilege to Set bounties. So just find any post (question or answer) for which you can think of an appropriate "suggested edit", get such edit approved, and you'll earn the missing reputation. With that, you can create a bounty of
Important: as mentioned in the comment below this answer by Mari lou A, make sure the edits you suggest do get approved. Because trivial and poor/incorrect suggested edits are a quick way of getting banned from suggesting edits in the future also.
PS 1: get another 25 similar edits approved to be able to create another bounty of
PS 2: For a user who only has
+1 rep, it only takes 37 "suggested edits" to get approved