It seems to me that if you buy a stock, you could come out arbitrarily well-off, but your losses are limited to the amount you put in. But if you short, your payoffs are limited to the current price, and your losses could be arbitrarily big, until you run out of money.

Is this accurate? If so, it feels like an important asymmetry that I haven't absorbed from the "stock markets 101" type things that I've occasionally read. What effects does it have on markets, if any? (Running my mouth off, I'd speculate that it makes people less inclined to bet on a bubble popping, which in turn would prolong bubbles.) Are there symmetrical ways to bet a stock will rise/fall?