> Are you going to reduce lottery payouts
They will decrease on their own if people think about where to get food, and not about extra money for the lottery.
> and maximum stock investments as well?
No, there are no restrictions. Any amount of investment. But there are only government's stocks and the terms of return on investment are determined by the government
> Will I still be allowed to hunt for food?
Only deep in the sparsely populated provinces. To avoid armed rebellions.
> Society is something better encouraged than gamified.
You'll be surprised at what methods encourage people best.
Read the biography of Korolev, who sent the first satellite and the first man into space. A case was fabricated against him, he was sentenced to 10 years in a gulag, but after a year he was transferred to a prison for engineers, on the condition that he will be a very effective engineer.
And he was. The results of such encouragement were amazing and almost unachievable by any other methods.