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Sure.

At least according to what we know right now of IQ and video games there is some sort of positive correlation (Sauce, 2022 Kokkinakis 2017), as with chess (Sala, 2017).

The mechanism of play and its impact of cognition might be similar for both board games and digital games, as a lot of games deals with stuff like probabilities, cause-effect relationships etc.

What we know of intelligence is general is that it is likely not a constant, and might differ in areas (social, mathematical, spatial, linguistical etc)

Do I think playing HoI by itself will make you pass a math test? Absolutely not
 
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i'm not sure it's entirely true that iq is immobile. i think same person taking iq test at age 4 vs 20 will perform differently, and not just because the default average of 100 shifts with new people taking it over time.
IQ seems to be at least mutable by quite a lot during adolescence and teenage years, and then become more stable https://www.nature.com/articles/nature10514

Same with quality of food https://pubmed.ncbi.nlm.nih.gov/21300993/

Probably a lot of environmental conditions as well.

For the general populace I think proficiency in a a skill and willingness to work hard to improve is much more important than x difference in a IQ score.

As someone that's not very smart myself I have to believe that *gulp*
 
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