What a lot of the comments in here are bumping up against with regards to “fairness” is the fact that willingness to pay is a function of both preference intensity and ability to pay.

The way to make sure TS tickets go to the biggest TS fans is to remove the influence of ability to pay and sort only by preference intensity.

Solving wealth inequality fixes this problem entirely - among others!

Edit: like all good economists, I leave solving that particular bit of the problem as an exercise to the reader.