Do you think people who abandon their pets should be fined?

From what I heard, a lot of animals were put down in animal shelters. At least in the U.S.
We just need to find better way to identify individual animals. So random abandoned pets found on the streets can be traced to the owner who did it. Then they won't be able to just dump their pets, because it's going to cost them much more than sending the pets to the shelter. The end goal is to get them not to dump the pets at all, or rather to get them think twice before getting a pet. Only the people who are willing to take care of the pets for the rest of the pet's natural life have the right to get a pet.