Cats are reasonably smart and can be trained. Cats are also quite strong-willed and so are difficult to train. Our cats know they aren't allowed on the table, so they don't go on the table (when we're around). We've also taught them some calls to stop fighting and to come. They're moderately effective.

The big trick is to start young, start with things they're interested in, and always follow through. If you tell your cat to get off the table and you don't make sure they do, they decide you're asking them to get off the table and they might choose not to.

Also, cats like treats and food. Not many things catch their interest more, certainly not trifles like their own name.