Dont you think that the same probability exists for a dice site as well that accepts invetment in bank roll ? If players win against their odds, they can also run away with all the investments. They can play in their own website knowing the seed. In fact, Dicebitco.in did the same. In Ponzi game, there is no seed. The probaility is 100% real - "Whether there will be a next investor or not". So, how can it not be provably fair ?
Dicebitco.in did skip nounces and it came out very fast. The only reason it every came out is because it was provably fair. Without provably you just have a gut feeling that a site might do something shady to the rolls, but you can never confirm or deny it. Gamblers have strange gut feelings all day long.
Investing is a very high risk granted. Thats why the dice sites that allowed investments had been under very close watch by highly reputable members within the gambling subsection (e.g. doog).
Ponzis won't qualify as being provably fair
http://bitcoin-casino-guide.com/provably-fair-gambling/
Very good read on the subject, thanks.
I think having a blockchain already makes it provably fair.
How can the blockchain prove who is playing?
The idea with ponzi games is that the operator does not play. Its PvP players gamble against eachother and the operator gets a little bonus for providing the service. Youd have to prove this for a ponzi to be provably fair. So you have to prove that a certain person and their friends are not playing. Proving a negative[1] is considered impossible. I dont want to rule out that there is a solution, but all I currently see is people saying: stop the warning we dont do bad. I see very little actual suggestions towards a solution.
Provably fair also doesn't mean you can't be cheated.
No. It means the player can reveal the cheat, thus giving the operator a very high incentive to be honest. A single instance of a revealed cheat would ruin the operators reputation (see dicebitco.in).
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tl;dr: A provably fair ponzi would have to prove either that the operators are not playing or make sure that everyone is a player. That is to remove the operator.
[1] http://en.wikipedia.org/wiki/Evidence_of_absence