Our dog Bud is like that greyhound, in that he doesn't play like other dogs. He's not interested in squeaky balls, doggie toys, fetching the stick... at all. Well, sometimes he'll pick up something the other dog was interested in... but only to mess with the other dog's head.
When the boys have had a good meal, they'll chase each other through the house, and that usually lasts for 5-10 minutes. That's about the only playing Bud does.