The Phillips Curve

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Phillips-curve inflation-unemployment NAIRU stagflation expectations

Core Idea

The Phillips curve depicts an empirical inverse relationship between inflation and unemployment: when unemployment is low, wage and price pressures are high, and vice versa. In the 1960s this appeared to offer policymakers a stable trade-off. The stagflation of the 1970s — high inflation and high unemployment simultaneously — challenged this view. Friedman and Phelps argued the short-run Phillips curve shifts with expected inflation, so there is no long-run trade-off at any unemployment below the natural rate; the long-run Phillips curve is vertical. Modern variants incorporate supply shocks and inflation expectations anchoring by central banks.

How It's Best Learned

Plot US inflation and unemployment data from 1960–2023 and observe the breakdown of the stable trade-off. Trace how the curve shifted up in the 1970s as expectations became unanchored, and back down after Volcker's disinflation in 1981–1983.

Common Misconceptions

Explainer

You know from the AS-AD model that aggregate demand expansions can reduce unemployment in the short run, and from studying inflation that sustained excess demand generates price pressure. The Phillips curve makes this connection explicit and empirical: it describes the observed inverse relationship between the inflation rate and the unemployment rate. A.W. Phillips documented this pattern in UK wage data from 1861–1957, and the relationship was quickly extended to price inflation and generalized internationally. By the early 1960s, the curve appeared to offer policymakers a stable menu: accept more inflation to buy lower unemployment, or tighten policy to reduce inflation at the cost of higher unemployment.

The intellectual crisis came in the late 1960s, before the 1970s made it undeniable. Milton Friedman and Edmund Phelps independently argued in 1968 that the apparent trade-off was temporary and would collapse once expectations adjusted. Their argument: the short-run curve traces a relationship between *unexpected* inflation and unemployment. If the central bank tries to hold unemployment below the natural rate — the rate consistent with stable expectations — it must generate ongoing inflation surprises. But workers and firms learn and update their expectations. Once expected inflation rises, the short-run curve shifts up, returning unemployment to the natural rate. The only way to sustain low unemployment is to constantly outrun expectations with ever-higher inflation. In the long run, therefore, the only stable outcome is unemployment at the natural rate (NAIRU — Non-Accelerating Inflation Rate of Unemployment), at whatever inflation rate monetary policy chooses. This gives a vertical long-run Phillips curve.

The 1970s made this theory viscerally real. OPEC oil embargoes in 1973 and 1979 delivered adverse supply shocks — stagflation — that the original demand-side framework could not explain. Costs rose independently of demand, pushing up inflation while simultaneously raising unemployment. The short-run curve had shifted upward. Meanwhile, a decade of accommodative monetary policy had unanchored inflation expectations, making the situation self-reinforcing. The cure — Paul Volcker's sharp monetary tightening in 1979–1983 — deliberately raised unemployment sharply to wring out inflationary expectations, tracing a movement up-and-left along a new, lower short-run curve.

The modern version of the Phillips curve, embedded in New Keynesian models, is written as: π = π^e + α(y − y*) + supply shocks, where π^e is expected inflation (now typically forward-looking), y − y* is the output gap (or equivalently the negative of the unemployment gap), and supply shocks shift the curve directly. Central bank credibility plays a crucial role: if households and firms believe the central bank will maintain low inflation, their inflation expectations remain anchored near the target, and supply shocks produce less persistent inflation because expectations don't spiral upward.

The 2010s added a new empirical puzzle: US unemployment fell well below traditional NAIRU estimates with minimal inflation, suggesting the curve had flattened. Possible explanations include globalization dampening domestic wage pressure, the rise of temporary and gig employment, and anchored expectations doing heavy lifting. This ongoing debate illustrates why the Phillips curve remains one of the most contested empirical relationships in macroeconomics — the underlying logic is sound, but the precise shape, slope, and stability of the curve continue to evolve with the data.

Practice Questions 3 questions

Prerequisite Chain

Counting to 10Counting to 20Understanding ZeroThe Number ZeroCounting to FiveOne-to-One CorrespondenceCombining Small Groups Within 5Addition Within 10Addition Within 20Two-Digit Addition Without RegroupingTwo-Digit Addition with RegroupingAddition Within 100Repeated Addition as MultiplicationMultiplication 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 100Two-Digit by One-Digit DivisionDivision with RemaindersRemainders and Quotients in DivisionDivision Word ProblemsIntroduction to Long DivisionFactors and MultiplesPrime and Composite NumbersEquivalent FractionsRelating Fractions and DecimalsDecimal Place ValueReading and Writing DecimalsComparing and Ordering DecimalsAdding and Subtracting DecimalsMultiplying DecimalsDividing DecimalsDividing FractionsMixed Number ArithmeticOrder of OperationsInteger Order of OperationsVariable ExpressionsCombining Like TermsOne-Step EquationsTwo-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 DefinitionLimit Definition of the DerivativePower RuleConstant Multiple and Sum/Difference RulesProduct RuleChain RuleDerivatives of Exponential FunctionsDerivatives of Logarithmic FunctionsImplicit DifferentiationComparative StaticsPrice Elasticity of DemandAggregate DemandThe AS-AD ModelThe Phillips Curve

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