> You need to revisit Economics 101. High demand -> price rise -> more supply -> price drop. If you set a price ceiling, this will make the shortage worse as the market cannot properly function.

And you need to revisit Economics 102 where they talk about inelastic demand and why some prices are usually controlled at least to an extent ( food, medication, electricity), and Economics 103 where they mention they real world and economy are slightly more complex and have slightly more variables than what Economics 101 started with.