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Price Ceilings & Floors

A government caps rents, or sets a minimum price for milk. The market can no longer settle by itself: a ceiling below the equilibrium creates a shortage, a floor above it a surplus. How big, and who wins or loses?

EconomicsRegulationWelfare
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Straight lines: demand Qd = A − B·P, supply Qs = C + D·P. A ceiling only matters below the equilibrium price, a floor only above it. Surpluses assume the scarce units go to the buyers (or come from the sellers) who value them most; in practice queues and black markets usually make things worse.

Ceilings, Floors and Their Side Effects

A price ceiling is a legal maximum, like rent control or a cap on energy prices. If it lies below the market price, more people want to buy than sellers are willing to offer: a shortage. Fewer units are traded than before, and the buyers who do get one pay less.

A price floor is a legal minimum, like a guaranteed price for farmers or a minimum wage. Above the market price, sellers offer more than buyers want: a surplus that someone has to buy up or that goes unsold. Both cause a deadweight loss: trades that would have benefited both sides no longer happen.

ceiling < P*shortage
floor > P*surplus
ceiling > P*no effect
tradedthe short side decides

Market with a Price Limit

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demand
supply
price limit
deadweight loss
Result
Enter the values above

Who Gains, Who Loses

your inputs
Free marketWith the limitChange

Worked Techniques

Shortage under a Ceiling

Fill the maximum price into both curves. Only the smaller quantity, the supply, is actually traded.

Example: ceiling 15: 700 wanted, 400 offered, shortage 300.
Deadweight Loss

For the units no longer traded, buyers would have paid more than sellers needed. That gap, added up, is lost.

Example: 
Surplus under a Floor

At a minimum price above the equilibrium, sellers offer more than buyers take. Buying up that surplus costs the government floor × surplus.

Example: floor 25: 800 offered, 500 bought, surplus 300.

Sources & Verification

References
  1. N. G. Mankiw, Principles of Economics, 9th ed., Cengage, 2021 — Ch. 6 (Supply, Demand, and Government Policies) and Ch. 7 (Consumers, Producers, and the Efficiency of Markets).