Always told to hand over and run.
However, I was mugged when I was 19. I'd done a 730/6 shift at the nursery, I had headache, I'd got the bus to college and was on my way home.
I got off the bus at 10pm round the corner from my house and some chimp tried to take.my bag out my hands. He asked for the bag I ignored him.and carried on, he put his hands on the handle of my bag and o literally lost my shit.
I yanked the bag back but at the same time I was telling really loudly and shouted "fire fire" alongside get off, fuck off etc. People started looking out Windows and coming out the pub and he just backed off slowly. Someone called the Police and my Dad 
He was picked up by the Police and lucky for me he wasn't carrying any weapons, he was trying his luck after a dare by friends.
I absolutely lost it because the bag he tried to take had all my coursework in and was due to be handed in and signed off the next day. It was all handwritten and no way was someone taking it from me! I'd been up since 6am, still not home at 10pm and O was tired and hungry!
If it was to happen now though I like to think I'd just hand over my stuff but I get so angry that scum like that have the mentality that it's ok to take what you like and when you like. Especially those that target old people in their homes etc.