[pete fabrizio]

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The statement that all players will eventually go broke depends on two assumptions:

1.) That each player plays for an infinite amount of time.
2.) There is an infinite stream of money coming into the poker world.

If these are satisfied, every player will eventually bust out at some point. The stakes they wager each hand and their present bankroll are irrelevant.

Say you had $1,000,000 and only played 1/2 limit holdem, you would eventually hit a losing streak so bad that you would lose it all. Since you are playing for an infinite amount of time this is inevitable.

Now obviously our poker playing lifetimes do not satisfy condition #1 and never will, so this is really just an academic discussion.

-Daddys_Visa-

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No. Once you reach $500,000, you move down to .50/1.00. And once you reach $250,000 you move down to .25/.50. Thus, you will never, ever, ever go broke. You might, in billions and billions of years, find yourself playing a very unsatisfying .000001/.000002 game though.

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There's some pretty bad math in this discussion. If you have $1,000,000 and play 1/2 LH with a winrate/standard deviation ratio of .1, you will never ever go broke, even with infinite trials. Yes, at any given time your chances of going broke will be finite while you have infinite trials left, but since the chances reduce over trials as you win, they can be summed (basic high-school math), and if you sum all your chances of going broke together they will still add up to a negligibly small number.