For a game of go the entire game state is known to each player. That's the diff. For vidya games state is hidden to the player if the player cannot 'see' it. Therefore u wrong fam.
Roads aren't free because they aren't free.
That isn't a tautology, it's a statement of fact: Roads have a dollar value. In nature. In nature it's got a price. Because men will trade, or pay, or war for it.
Therefore, to allocate it efficiently, we should allow it to trade at that value. This is how roads make the most number of people happy.
That may sound like right-wing pablum, but it's a subject that has been well trod by great thinkers for a very, very long time. [1]
[1] Coase, to mention just one
My guess, is your misunderstanding lies in biology in general. There is no constant maximum heart effort per lifetime. The heart is a muscle, if muscles are not used they become weak, conversely when muscles are used they become stronger and can grow (see: weight lifting). Also there is more to staying alive than a heart that beats.