Infinite Lottery Prize Idea -

Here is my idea for a lottery with an infinite prize.
Rather than playing a lottery for a one off cash prize like the lottery jackpot; what you win is a membership of an exclusive club that has unending access to the money raised by selling lottery tickets.
In other words, if you become part of the club you don't just become a billionare; your money never runs out.
Unfortunately, in order for this to work, there would have to be fewer winners thus the odds of winning must be made much lower than an ordinary lottery.
But as I said, the prize is much greater than a normal lottery and so its still attractive
You still don't understand the prize?
Okay, when you win, you win a membership of a club where every member gets a weekly percentage of all the money raised by the lottery each week.
Now say that every week the selling of lottery tickets raised 100 million pounds so, every week, because you're a member of the exclusive winners club you would win a large percentage of a 100 million pounds.
Imagine that, millions of pounds every week; much better than a lottery with a one off prize right?

But as I said, the downside is that there would have to be fewer winners because, the more members the club had the smaller every members share would be.

What happens when the club gets too many members?

Well what you could do is limit the number of years that a person can be a member of the club. For example, if the limit was four years then every four years, the club would lose a member and there would be more room for new members.