That was just too complicated for me

... can you explain with an example for my better understanding?
Haha sure.. Air Miles is an example of an off-chain artefact that has similarities to a Token Network. The early adoption of Air Miles by important group actors (airlines) increased the utility value of Air Miles (equivalent to a blockchain token) for another set of actors (consumers) within the group. The adoption of Air Miles by consumers once again increased the utility value of Air Miles for merchants outside the airline industry. Token network will be working in a similar fashion.