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The Martingale simply does not work. An infinitely wealthy gambler employing this strategy over an infinite time horizon on a fair game has a neutral expectation. For every gambler who comes out ahead, another one comes out behind. Additionally, real life gamblers aren't infinitely wealthy and casino games are negative expectation.

If it "works" for you, you're just the survivor bias.

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I agree it doesn't work but with infinite money you can win any finite amount of money. Your assertion assumes that you don't stop after a win.

> For every gambler who comes out ahead

That's only true in games where the only winnings are the bets of the players. Roulette, and blackjack, is different because your winnings on success are set and paid by the house.

He's not saying that there is literally one winner per loser, but that statistically the group of winners and group of losers will be about the same size, for a fair game.

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