This type of Admission Pass Bracelet is usually associated with theme parks more than arcades. It's made of that rip-stop tough fiberous fabric/plastic & has a peel off area of strong glue. The bracelet is colored for the day it's used on, with a date too so people can't just sneak in. They're always brightly colored for easy visibility.

These are decorated with stars, laughin-Sonic stock art & the SegaWorld logo. Bracelets like these are actually really rare and hard to get. Why? Because they were made to be disposable. You wore it for the day to get in, then simply cut it off and threw it out because it was useless after one day. Nobody much thought to keep these, so now with SWSydney closed, they're quite scarce---but they are fun to see! 

"Did You Know Gaming"
Has an interesting Youtube episode on unusual Sonic games with an arcade focus. It covers and explains things with game play footage & in one case a review (The popcorn is yucky) plus, adding more facts about them, like who did the voices, and what happens in the Sonic Popcorn Shop.
It's a good thing to watch to learn even more about old, and uncommon Sonic games, so be sure to check it out at
Did You Know Gaming: Unusual Old Sonic Games