Big pot with TPTK

[Wardfish]

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If you have a smaller stack it seems like players doesn't recognize you as a good player as when you have a big stack.

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I agree with this, to the extent that my 'default' rating of a 100BB player is higher than that for a 50BB player.

I think that having 100+BB against another player with 100+BB you can play more on the river,but with 50BB you are often pot-committed or all-in by the turn. For the better players, this is a big advantage.