It isn't games dumbing people down, it's the button pushing culture and 'instant gratification' that trains people into accepting quick results. I listened to a scholar studying the effects of I-Phones and computers and how they're making people stupid compared to older generations. One of the obvious conclusions is older generations had to write out everything by hand, which helped with developing memory and precision by repetitive activity in grade school early on, as well as having to read books and study them intensely. nowadays hand many of them a pencil or a pen and they can't even write their own names on a piece of paper, much less do even basic arithmetic without a calculator or make change manually, have no attention spans to speak of, and are pretty much illiterate,, only having to remember which buttons to punch or icons to click on for the most part. They're being fed the BS by the Silly Con Valley hucksters that everybody needs a laptop for school at age 4 and supposedly this develops 'computer literacy' but all it really does is make it too easy on them and the hucksters very rich. People who are addicted to I-Pods and their copycats are particularly at risk for losing IQ points. Don't know what they're going to do when the U.S. is a Third World shithole in 20-30 years and they can't afford batteries phones and tablets at all. They'll be no better than aboriginal tribespeople, and die off by the millions.
Board games are much more about social interaction with family and friends than literal learning a lot; computer games encourage loners and alienation.