Depends. All three ships, if flown competently, would attempt a reverski immediately. And then they would be forced to do something else or die of boredom.
I'd say the Anaconda would go down first, as the Cutter is tougher and the Corvette has more firepower. In a fight between the Cutter and Corvette, I'd say it would probably end up being a narrow victory for either. Cutter is naturally more tanky, but the Corvette has more SCBs, and will do more damage on the Cutter thanks to its C4s.
As far as leaving the battle, the Anaconda could jump far enough away so as not to be followed. Cutter could use its speed to leave the battle in a hurry. Corvette probably can't run from a fight, really.