It's from you bonding with your main Palico the only way you can during the game: By completing quests and expeditions. If you look at the description of the ticket you'll find:
Proof of you and your Felyne Palicoes' rapport. Collect enough and it
might pay off.
It will help if you keep your main Palico Enthused by eating before every quest/expedition and though I haven't completely confirmed it yet it seems the more higher tier quests you do the faster you get them. I've got way more once I started to do high rank missions.