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What happens to the stock price if most of the share holders stop trading that stock?

Apple has 4.33bn shares in free float, What would happen in a hypothetical situation if nearly all the owner of the stock stops trading those stocks and keep it in hopes that it will go up in future or expectations of dividend or some other incentive.

In this situation lets say only 100 shares are being traded every day by a bunch of traders do they have absolute control over the price (Not Value) of the stock ? And can they drive the price of stock to insanely low/high levels ?

Most of the days we dont see even 1 percent of the total free float shares being traded everyday for most of the companies out there.