What term can one use in as situation where politicians create an artificial crisis which they solve later on to gain some political mileage?
I have not found an existing definition for this (without implying different circumstances like "instigator" or "self made hero").
But I've used "Firestarter firefighter" in the past. It was the best description I could think of at the time (note that I'm not a native English speaker)
I googled whether that's an actual definition, and while I could not find any official confirmation, I did find this. It basically describes the type of person you're talking about.
But I can't think of a single word to encapsulate the behavior. The article I linked seemingly cannot either.
Edit: I thought of using "pyromaniac firefighter", but I think this alternative loses the inherent implication that the starting of the fire is intentional rather than compulsive. ALthough it can fit too, depending on who the politician is, I guess :)