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Do market shares exhaust?
RonJohn is right, all shares are owned by someone.  Depending on the company, they can be closely held so that nobody wants to sell at a given time.  This can cause the price people are offering to rise until someone sells.  That trade will cause an adjustment in the ticker price of that stock.  Supply and demand at work.  Berkshire Hathaway is an example of this.  The number of shares is low, the demand for them is high, the price per share is high.