If and when panic selling occurs in stock markets, does that devalue the price of stocks and render the market almost worthless, because more and more stocks are introduced into the market (increasing supply) and there is no demand?
See the 1929 Wall Street Crash.
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Exactly. The price of the stock at any given time reflects the combination of the number of people who are willing to buy a stock and the number who are willing to sell. In a panic the supply drastically increases and/or the demand drastically decreases.