Then the lottery is a kind of fraud, because the winnings are taken by people at the expense of other people.
No, because the payments will not be exclusively from new investors (which don't exist in a lottery since it is gambling). If you are going create this kind of false equivalence then you can say that any type of gambling is a ponzi scheme.
(And if you want to extrapolate it further, any
company is a ponzi scheme)
You have correctly understood my idea, and you perfectly understand that I am right. The lottery sells tickets, you can say it is looking for investors, the pyramid sells tokens. What's the Difference? The win in both cases is for the few who participated in both experiments. Is not it?