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A price ceiling is a government-imposed maximum price that can be legally charged for a good or service. When a price ceiling is set below the market equilibrium price, it prevents the price from rising above that level. This is typically done to protect consumers from rapidly increasing prices or to make goods and services more affordable for low-income individuals.

The equilibrium price is the price at which the quantity demanded by consumers equals the quantity supplied by producers. At the equilibrium price, the market is in a state of balance, where there is neither a surplus (excess supply) nor a shortage (excess demand). The equilibrium price is determined by the intersection of the supply and demand curves in a market.

If the price ceiling is set above the equilibrium price, it will not have any effect on the market as the price will not reach the price ceiling. However, if the price ceiling is set below the equilibrium price, it will create a situation where the quantity demanded exceeds the quantity supplied (a shortage), as producers are unable to charge high enough prices to cover their costs, and hence may reduce their production. In this case, the price ceiling disrupts the market equilibrium.

A price ceiling does not technically change the underlying equilibrium price, as the equilibrium price is still the point at which supply and demand curves intersect. However, a binding price ceiling (i.e., a price ceiling set below the equilibrium price) does change the actual transaction price in the market, as it prevents the price from reaching its natural equilibrium level. This causes the market to be in disequilibrium, resulting in inefficiencies and potential negative consequences for both producers and consumers. In conclusion, while a price ceiling does not change the underlying equilibrium price in a market, it can cause market prices to deviate from their natural equilibrium levels, leading to distortions, inefficiencies, and unintended consequences.