Let's say I have a game (1000 slots roulette) with 60 slots that you can win with. So the probability of winning is 0.06;
Now to attract players, I have a discount system. That is if discount is 30%, you pay 1 dollar to play, you only need to pay 0.7 dollars. But if you win the payout is 10 dollars.
So the expected house edge on $1 should be
(1-D) - 60 / 1000 * P = (1 - 0.3) - 60 / 1000 * 10 = 0.1
I can modify the game to maintain the same house edge, with different discount and payout
D = 0.24, P = 11
(1-D) - 60 / 1000 * P = (1 - 0.24) - 60 / 1000 * 11 = 0.1
So from player point of view both games are the same (probability wise). But if a player can choose he probably will choose to play Game B.
Player 1 play Game A for 1320, after discount: 924, potential winning: 13200,
Player 2 play Game B for 1200, after discount: 912, potential winning: 13200,
As you can see player 2 is better off, same potential winning, but he pays lesser!
I cannot figure out what causes this inconsistency when the house edge is obviously the same, it seems one game earn more money than the other.