That's a decision you need to make based on your risk tolerance, budget, types of predators and predator load, etc.
Because I'm usually at home, with the coop and run close to the house (20' from living room) and have a pretty sturdy coop that gets closed up every night, I opted to go with a predator resistant (but not predator proof) run. I have hardware cloth up a few feet and out a few feet to prevent raccoons from reaching in and deter anything from digging in, and netting on top for birds of prey.