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Inflation-Unemployment Tradeoff and Modern Phillips Curve

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Phillips Curve Derivation in New Keynesian ModelsWage-Setting Equilibrium and Wage BargainingNatural Rate Hypothesis and NAIRU
phillips-curve inflation-unemployment tradeoff

Core Idea

The Phillips curve describes the relationship between inflation and unemployment. When unemployment falls below its natural rate, labor markets tighten, wage pressures rise, and inflation accelerates. The stability of this tradeoff depends on how inflation expectations form and respond to policy credibility.

Explainer

From the New Keynesian Phillips Curve, you know that inflation is driven by expected future inflation and the output gap — when the economy operates above potential, firms face rising marginal costs and raise prices. The inflation-unemployment tradeoff translates this output gap logic into labor market terms: when unemployment drops below its natural rate, labor becomes scarce, wages are bid up, firms pass those costs into prices, and inflation rises. The question at the heart of modern macroeconomics is whether this tradeoff is stable enough to exploit — can a central bank permanently buy lower unemployment by accepting higher inflation?

The original Phillips curve, estimated by A.W. Phillips in 1958, documented a remarkably stable negative relationship between wage inflation and unemployment in UK data spanning nearly a century. Policymakers in the 1960s interpreted this as a menu of choices: accept 2% unemployment at the cost of 5% inflation, or choose 4% unemployment with 2% inflation. This interpretation proved dangerously incomplete. When governments tried to exploit the tradeoff by running persistently expansionary policy, they discovered that the relationship shifted: the same unemployment rate was now associated with ever-higher inflation. By the 1970s, the US experienced stagflation — high inflation and high unemployment simultaneously — which the original stable Phillips curve could not explain.

The resolution came from expectations augmentation, introduced by Milton Friedman and Edmund Phelps. Their insight was that the tradeoff between inflation and unemployment is not between the level of inflation and the level of unemployment, but between *unexpected* inflation and unemployment. When a central bank stimulates the economy, firms see rising demand and hire more workers, temporarily pushing unemployment below its natural rate. But this only works as long as workers and firms are surprised by the higher inflation. Once they adjust their expectations upward — demanding higher nominal wages in anticipation of rising prices — the cost advantage to firms evaporates, employment returns to its natural level, and the economy is left with higher inflation but no lasting reduction in unemployment. The short-run Phillips curve shifts up with each round of inflationary policy.

This means the short-run tradeoff is real but temporary, and its slope depends on how quickly expectations adjust. If expectations are adaptive (backward-looking, based on recent inflation experience), the tradeoff can be exploited for a while before expectations catch up. If expectations are rational (forward-looking, incorporating all available information including knowledge of policy), the tradeoff is much shorter-lived — possibly nonexistent if policy is fully anticipated. Modern central banks take this seriously: by establishing credible inflation targets and communicating policy intentions transparently, they aim to anchor expectations so that temporary supply shocks do not spiral into persistent inflation through a wage-price feedback loop. The stability of the inflation-unemployment tradeoff is therefore not a fixed feature of the economy — it depends on the credibility of the institutions managing monetary policy.

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 SidesAngle Pairs: Complementary, Supplementary, and VerticalParallel Lines and TransversalsCorresponding AnglesAlternate Interior AnglesTriangle Angle Sum TheoremExterior Angle TheoremTriangle Inequality TheoremSimilar Triangles: AA SimilaritySimilar Triangles: SSS and SAS SimilarityProportions in Similar TrianglesRight Triangle Trigonometry IntroductionSine, Cosine, and Tangent RatiosTrigonometric Ratios ReviewRadian MeasureConverting Between Degrees and RadiansThe Unit CircleGraphing Sine and CosineGraphing Tangent and Reciprocal Trigonometric FunctionsDerivatives of Trigonometric FunctionsAntiderivativesIndefinite IntegralsBasic Integration RulesRiemann SumsDefinite Integral DefinitionDouble Integrals: Definition and SetupIterated Integrals and Fubini's TheoremDouble Integrals over Rectangular RegionsDouble Integrals over General RegionsApplications of Double Integrals: Area, Mass, and MomentsCenter of MassConservation of Linear MomentumElastic CollisionsInelastic CollisionsCoefficient of RestitutionCollision Analysis and Real-World ApplicationsTwo-Body Collisions in the Center-of-Mass FrameReduced Mass and Two-Body ProblemsKinematics in Two DimensionsProjectile MotionCircular Motion: KinematicsSimple Harmonic MotionIntroduction to Differential EquationsSolow Growth ModelCapital Accumulation and the Golden RuleInvestment Demand and Capital FormationAggregate DemandThe AS-AD ModelBusiness CyclesRecession Definition, Measurement, and DatingThe Output GapThe Output Gap and Potential OutputPhillips Curve Derivation in New Keynesian ModelsInflation-Unemployment Tradeoff and Modern Phillips Curve

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