https://sv.m.wikipedia.org/wiki/Cash_(betalsystem)
I'm also reminded of the magstripe stored value cards used by our public transit agency. These were trivial to rewrite, but since most people who tried this did it to save money on their commute rather than random joyriding, it was easy for the agency to reconcile the usage logs to find out where they went every day and wait for them at their station...
These days I think the main advantage to offline systems is performance. When you have a busy subway station in Tokyo with massive crowds passing through the gates, nothing beats the throughout of offline Felicia Suica cards. Their gates default to open and you walk through while swiping without stopping, the gates only close if there is a failure. Vs EMV-based systems like London where you have to stop and wait for the card reader