Please correct me if i'm wrong but if the players have a positive "expectation" You will have a negative "expectation"
Take PrimeDice for example, at x2 they give the player 49.5% chance to win which means in the long run the odds are against the player by just .5%
If it were to be the other way around you would be the one with the negative profit.
I'm sorry ，maybe I didn't explain clearly because my mother tongue isn't English
The payout must associate with the prize pool in a positive "expectation" game. and the payout must be limited
for example:
dice from 1-100
your bet = 1BTC
the prize pool = 100BTC
the payout no more than the pool
Prize: #1 chance 1% dice =1 payout: 20+(pool/10) x = 30 BTC expectation=0.3
Prize: #2 chance 25% 1Prize: #3 chance 74% 25have a negative "expectation"
but when the prize pool grow the "expectation" will be positive
your bet = 1BTC
the prize pool > 300BTC
Prize: #1 chance 1% dice =1 payout: 20+(pool/10) x > 50 BTC expectation>0.5
Prize: #2 chance 25% 1Prize: #3 chance 74% 250.5+0.5+0 - 1 > 0
so the prize pool will float near 300BTC
this is just a simple example
No problem, your english was perfectly understandable.
I didn't think you had thought it through but it seems good.
I'm far from a mathematician lol but that makes sense to me, nice work.