Jewish law (Shulchan Aruch Choshen Mishpat 262) says that some lost objects are allowed to be kept by the finder. I understood that the reason is because the original owner had ye'ush (gave up hope). Seemingly that makes the item hefker (ownerless). So a new person can own this item. But we know that a minor can't Halachically transfer ownership of an item he owns. Like we see by the Lulav and Esrog, that if you give them to a minor, then the minor aquires it but can't give it back to you. You're stuck with him owning it.
So my question is: What happens if a minor owns an object and loses it, and this is an object that's allowed to be kept because the owner gives up hope. (and let's say you can tell that this object belonged to a minor. e.g. it's a kid-sized object.) So if a minor doesn't have the da'as or ability to make Halachic actions, then it would seem that his ye'ush (giving up hope) doesn't work on the object. So if a child's object never had Halachic ye'ush, is this object not allowed to be kept?
TLDR: If a Katan can't be mafkir or meya'esh (like we see by Dalet Minim), then it seems his aveidah should be chayiv lehachriz. So is every aveidas katan assur to keep?
