Hide and seek/tag

Does anybody else do this with their cat? Our male "Pekoe" loves to play like this. It usually starts with me walking by and he just starts running from me. Then I start to chase him and he runs and hides usually in our bedroom or the spare bedroom. I catch him and then turn and run and hide and wait for him to come and find me which he does pretty quick. This goes on for about 5 minutes until we are both tuckered out. My wife loves watching the game and gets quite a laugh from it. One of these times I'll have to video tape it.

My bf does that with our cat Achilles. He loves it and it is really effective for tiring him out. I thought it was only our cat, but my cousin does the same thing with his cat as well. They just wanna play all the time.