We call this game just "Stamp rally".
I don't know why but, often this kind of stamp rally game is held in Otaru.
For example, in our holding event, "Otaru Long Xmas" has "Romantic Stamp Rally".
Lots of shops, restaurants, hotels etc join this game.
If you use these facilities, each staff will stamp on your stamp form. If you collect 5 stamps, you'll be able to try the lot at Canal Plaza.
You might get special gift!
I made English leaflet and map for this game.
When you come to Otaru, please feel free to visit tourist information center and ask about these leaflets.