Logic/(video?) Games: Do they have a cognitive effect?

Somewhere in this interview:

The guy mentions how just doing simple arithmetic problems influences depression rates.

I was wondering about the influence of logic games in general.  Since--as I noted in my bs knowledge of neuroscience back here--how the neocortex overlays all of the behaviorist bs.  The idea would be that logic games enhance the PFC, and that in turn enhances executive control and a whole host of other functions.

Which leads to another idea I'm kind of apprehensive to...do videogames have a cognitive effect?

I mean, in general, the people I know who play shittons of videogames...tend to not be altogether dumb people.