You have completely supported my own thinking about why dogs are superior as pets to cats.

Like you suggested, cats don't play games.  I mean they do, but they don't.

For example, if you were to die in your house, and you were not discovered for a week, if you had owned a cat, you would be half eaten by the time authorities found you (individualism to its extreme).  

With a dog, on the other hand, the dog will be sad and perhaps nearly dead too, from not having had eaten out of sorrow for th loss of a leader (pack animal thinking).