It does change it. Theory is different from actual. Again, the equation does not factor in human emotions since it is an outside factor. In a perfect world, if the gambler and the casino play an infinite number of games without any other factor then yes both will get 1.00. But the fact is that you still have to factor in human greed and the limits. Well, I guess this is just going in circles and we both agree to disagree.
No,
you are going in circles by begging the question and you do not understand the extent of my argument.
Greed
does not matter. Individual profit
does not matter. It is the total profit of all the players vs. the casino that does matter which is expected to be 0.
So a player gets greedy. There are two outcomes: they win the bet or they lose the bet. The expected profit is 0 from both sides. Thus, as a long-term investment, nothing happens and the casino wastes money from server hosting.
And again, I go back to my argument that it still does not incorporate human emotions. Math is math, yes. In a perfect scenario the game will end in 0. But the thing is there are gamblers that can't stop playing even if they have won a lot already and think they can make more out of their winnings but end up losing in the end.