As for minimized like i said dont quote me. But as for the game being on/off. It only makes mathmatical sense that it would get more done offline depending on user skills that are selected, etc. But there is a level of dynamics to the game that i imagine only LDW knows as to how it calculates what a villager who knows 3 skills but has none checked does when the game is off. Logically speaking if you check everyone to a skill, they will accumulate more when the game is off because they wont be doing laundry/swimming/exercising/telling jokes/complaining/arguing/worrying/relaxing/chasing butterflies/etc because its all math at that point. But like i said, there is a level of dynamics to the way LDW calculates the math, that answers the question as a whole.