For intelligence for example you could have a PID controller where there is automatic tuning which would fit the definition of learning and application. But I don't think we'd call it intelligent outside of marketing copy.
I do like that meta observation though that not only do people get better at prediction through learning they can also get better at the rate at which they improve their predictions.
You seem to be assuming I have a reductive definition of game, when the definition given in the article is basically "anything people choose to play." See https://www.raphkoster.com/2013/04/16/playing-with-game/ which is linked in there.
I strongly disagree with lumping "intelligence" into the question though, so I am with you on that.