Instead of trying to skirt issues and involve authorities in hopes to solve problems, it usually is better to confront the person themselves.
Your example went straight to an extreme. It doesn't have to be theft, or murder, or an assault that makes you "upset" at them. Maybe you feel wronged because they said something in public that you wanted private.
Authorities have their place, but many problems can be solved by not involving them. I'd also say that many more problems are caused because people didn't want to confront one another.