Asym,
You started with a wrong direction. There is no equilibrium in a game of house edge as every bet is subjected to that and in long run, all bets will go far from equilibrium in terms of "extra losses". Variance can take them even more far. Even in a game without any house edge, a bet might not get equilibrium even after a billion trials.
D'alembert is a classic comedy of errors and based on ideas that do not work in real life. It has no mathematical basis to make it a winner.
You started with a wrong direction. There is no equilibrium in a game of house edge as every bet is subjected to that and in long run, all bets will go far from equilibrium in terms of "extra losses". Variance can take them even more far. Even in a game without any house edge, a bet might not get equilibrium even after a billion trials.
D'alembert is a classic comedy of errors and based on ideas that do not work in real life. It has no mathematical basis to make it a winner.