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I disagree with this. Losing their balance on a gambling site don't stop people from gambling more and more. They simply deposit another amount, which is usually bigger than the previous one, because they want to recover their losses. And if they don't have money of their own, they borrow it. It is called "chasing losses", and it's a real hell, if you ask me.
On the other hand, for those gamblers who only play with money they can afford to lose, indeed losing their balance means stop for the day. And although it's the majority of gamblers, I don't think we are talking about them in this topic, because for them it's not hard to stop at any time, regardless of whether they are losing or winning.
I said that when you run out of money you will stop whether you like it or not. You won't be able to deposit anything if you're out of money. Borrowing may work for some people but who's going to offer a credit like to a broke addict? This may work once but then you're on the blacklist and it's all over.
You've said it yourself that the majority stops when they lose what they have on their casino balance or in their pockets. For most people this will be a signal to stop.