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Long-Run Equilibrium with Free Entry and Exit

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Market Equilibrium in Perfect Competition
long-run-equilibrium free-entry zero-profit competitive-equilibrium

Core Idea

In the long run with free entry and exit, firms earning positive profits attract new entrants, increasing market supply and driving down price until profit is zero (P = ATC). Losses cause firms to exit, reducing supply and raising price. Long-run equilibrium occurs where price equals the minimum of each firm's long-run average cost, and firms earn zero economic profit. This condition determines the long-run number of firms in the industry.

How It's Best Learned

Trace the adjustment process: start with positive (or negative) profits, observe entry (or exit), and follow how supply shifts until zero-profit equilibrium is reached. Examine how industry size responds to shifts in demand or technology.

Explainer

From your study of short-run competitive equilibrium, you know that the market price is set by supply and demand, and each price-taking firm produces where P = MC. But what happens over time? If price is high enough that firms are earning positive economic profit, the world outside the industry takes notice. New firms enter, each adding to market supply. The supply curve shifts rightward, driving price down. Entry continues until profit disappears. If price falls below average total cost — firms are losing money — some exit, supply contracts, and price rises until the losses stop. This adjustment process has a powerful and surprising conclusion: free entry and exit drives long-run economic profit to zero.

It is worth understanding precisely what "zero economic profit" means. Economic profit deducts the opportunity cost of all inputs, including the owner's time and invested capital — the best alternative uses of those resources. Zero economic profit means the firm earns exactly as much as its inputs could earn elsewhere. A restaurant earning zero economic profit is still paying wages, covering rent, and returning a normal rate of return to the owner's capital. What it is *not* doing is earning above-normal returns that would attract new competition. Zero economic profit is not a crisis; it is the equilibrium condition. Firms stay in the industry because they are doing at least as well as their alternatives — not because there is a windfall to capture.

Why does long-run equilibrium pin price at the *minimum* of average total cost? At any price above minimum ATC, firms are earning positive economic profit, so entry occurs and price falls. At any price below minimum ATC, firms are losing money, so exit occurs and price rises. Equilibrium requires P = ATC, and the only stable equilibrium point on the ATC curve is the bottom — the minimum efficient scale. Here P = MC = ATC simultaneously. This means competitive markets, in the long run, force all production to the lowest feasible per-unit cost. Resources are allocated efficiently within the industry: there is no cheaper way to produce the good at this scale.

The number of firms in the industry is determined endogenously by the equilibrium condition. Given demand D and each firm's minimum ATC (which sets both price P* and quantity per firm q*), the number of firms N = Q*/q*, where Q* is total industry quantity demanded at price P*. A permanent increase in demand raises short-run price and profits, inducing entry; the industry expands until the zero-profit condition holds again at the same P* with more firms. A technological improvement that lowers minimum ATC reduces the long-run equilibrium price, drives out higher-cost incumbents, and re-equilibrates at a lower price with a new (possibly larger or smaller) number of firms. The long-run supply curve for a constant-cost industry is therefore perfectly elastic (horizontal) at minimum ATC — price always returns to the same level, and the industry scales quantity through firm entry and exit.

Practice Questions 5 questions

Prerequisite Chain

Understanding ZeroThe Number ZeroCounting to FiveCounting to 10Counting to 20Counting a Set of Objects Up to 20Cardinality: The Last Number CountedMatching Numerals to QuantitiesSubitizing Small QuantitiesAddition Within 10Number Bonds to 10Addition Within 20Doubles and Near DoublesDoubles Facts Within 10Near Doubles Facts Within 20Mental Math Strategies for AdditionMental Math: Adding and Subtracting TensAddition Within 100Repeated Addition as MultiplicationMultiplication as Equal GroupsMultiplication: ArraysBasic Multiplication Facts (0s, 1s, 2s, 5s, 10s)Multiplication Facts Within 100Division as Equal SharingDivision as Grouping (Measurement Division)Division: Grouping (Repeated Subtraction) ModelDivision: Fair Sharing ModelDivision as Equal SharingDivision as GroupingBasic Division FactsDivision Facts Within 100Multiplication and Division Fact FamiliesRelationship Between Multiplication and DivisionDivision Facts as Inverse of MultiplicationRemainders and Quotients in DivisionDivision Word ProblemsMulti-Step Word ProblemsSolving Multi-Step Word ProblemsMultiplication Word ProblemsDivision Word ProblemsIntroduction to Long DivisionFactors and MultiplesPrime and Composite NumbersEquivalent FractionsRelating Fractions and DecimalsDecimal Place ValueIntegers and the Number LineComparing and Ordering IntegersAbsolute ValueAdding IntegersSubtracting IntegersMultiplying IntegersDividing IntegersUnit RatesProportionsPercent ConceptConverting Between Fractions, Decimals, and PercentsOperations with Rational NumbersTwo-Step EquationsSolving Multi-Step EquationsEquations with Variables on Both SidesLiteral EquationsSlope-Intercept FormPoint-Slope FormWriting Linear EquationsParallel and Perpendicular Line SlopesGraphing Linear EquationsPiecewise FunctionsOne-Sided LimitsContinuity DefinitionLimits and Continuity in Multiple VariablesFunctions of Several VariablesContinuity in Multiple VariablesPartial Derivatives: Definition and ComputationDifferentiability in Multiple VariablesDifferentiability in Multivariable FunctionsTotal Differential and Linear ApproximationChain Rule for Multivariable FunctionsImplicit DifferentiationRelated RatesOptimization ProblemsCritical Points of Multivariable FunctionsCritical Points and Classification of ExtremaSecond Partial Test for Local Extrema (Hessian)The Hessian Matrix and Second Derivative TestUnconstrained Optimization: Finding ExtremaOptimization in Multiple VariablesLagrange MultipliersCost Minimization and Conditional Input DemandLong-Run Cost Curves and Scale EconomiesLong-Run Costs and Economies of ScaleEconomies and Diseconomies of Scale in the Long RunLong-Run Average Cost and Economies of ScaleProfit Maximization and Output DecisionsThe Shutdown Condition and Operating DecisionsIndividual Firm Supply Curve in CompetitionMarket Equilibrium in Perfect CompetitionLong-Run Equilibrium with Free Entry and Exit

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