[dnord]

This debate wasn't super productive in that thread, and I don't have high hopes for it here, but...

Most home-game players don't know/care about the adjustments they ought to be making when their stack size moves relative to the blinds. (This is especially true in tournaments, since the blinds are periodically increasing, but you specifically excluded this.)

What are the mistakes a short stack can make? They can play speculative hands when their stack limits their implied odds. This is a pretty big leak.

They can sacrifice pot equity when they fold draws (if a deep stack bets $500 into a $500 pot, and the short stack has only $50 behind). This isn't a huge mistake, and my guess is that it doesn't happen as often as the first example.

They might possibly make bets relative to their own stacks, and not the pot, if they are afraid of getting all-in and losing.

Deep stacks should play exactly the same as the "effective" stack, but I guess the thread over there cleared up the fact that most home game players (even smart ones from 2p2) have no concept of this. They can make the same mistakes: playing speculative hands against short stack opponents who can't pay correct odds on their initial investment, making bets that seem large, but still offer excellent pot odds to a short stack opponent, and pricing opponents in by betting "half their stack" instead of giving their opponents improper odds to draw.

The only BIG mistake would be deep stacks playing other deep stacks the same way that they would play against small stacks. A three-barrel bluff might be just the thing between two 100BB stacks, but between 500BB stacks, the raising and reraising can quickly get beyond most players' online or tournament experience. Many hands worth felting against a 50BB or 100BB opponent are easy folds if you're against a 500BB opponent who wants to get all-in. Many players don't realize this.

Now you're also asking about the psychological state of someone on their third short buyin, or someone who's tripled up, and how they adjust their game. There are undoubtedly players who take risks to "get even" when they're down, and there are players who notoriously gamble every chip of the house's money in a completely different way than they would their own. I think a lot of people in that other thread were conflating the two ideas: deep stacks gamble and take risks, short stacks take shots, etc. If someone has this kind of hang-up about money ("their" money vs. "found" money vs. "won" money vs. "lost" money), it doesn't seem to make any difference what they bought in for. Not in my experience, anyway.