A topic in the Open Knowledge Graph — a free, open map of 15,290 topics and the order to learn them in.

The Expectations-Augmented Phillips Curve

Research Depth 119 in the knowledge graph ☐ I know this ☆ Set as goal
5topics build on this
928prerequisites beneath it
See this on the map →
Inflation Expectations and Expectation FormationNAIRU: Non-Accelerating Inflation Rate of Unemployment+2 more→→Stagflation and Policy Conflict
phillips-curve inflation unemployment

Core Idea

The modern Phillips curve relates inflation to unemployment and inflation expectations: inflation = expected inflation + a function of the output gap. Unlike the original Phillips curve, it accounts for the fact that inflation expectations can shift the entire relationship. The expectations term explains stagflation and why policymakers must manage expectations to control inflation without accepting high unemployment.

Explainer

You already know the original Phillips curve: the empirical observation that low unemployment tends to accompany high inflation, and vice versa, suggesting a stable policy tradeoff. The expectations-augmented version, developed by Milton Friedman and Edmund Phelps in the late 1960s — just before the data dramatically validated their theory — explains why that original tradeoff was an illusion. The key insight: workers and firms care about real wages, not nominal wages. When inflation rises, they will eventually demand higher nominal wages to keep pace. That adjustment process is what destroys the stable inflation-unemployment tradeoff.

The modern equation is: π = πᵉ + β(u* − u) + supply shocks. Here π is actual inflation, πᵉ is expected inflation, u is actual unemployment, u* is the natural rate, and the term β(u* − u) represents the effect of the output gap on inflation pressure. Read it in plain language: inflation today equals what people expected it would be, plus any pressure coming from unemployment being below or above the natural rate, plus supply shocks. If unemployment equals the natural rate (u = u*), inflation equals expected inflation exactly. There is no permanent tradeoff — the economy can only hold unemployment below the natural rate temporarily, while it generates surprise inflation that expectations have not yet caught up with.

The stagflation of the 1970s was the decisive empirical proof. Conventional Keynesian models predicted that higher inflation would buy lower unemployment. Instead, both rose simultaneously — unemployment climbed even as inflation accelerated. The expectations-augmented explanation: a decade of expansionary policy had pushed inflation consistently above earlier expectations, causing workers and firms to revise expectations upward. Each upward revision of πᵉ shifted the entire Phillips curve upward, so maintaining the same low unemployment required ever-higher inflation, and eventually not even that was enough. The policy lesson: you can exploit the unemployment-inflation tradeoff only temporarily, and only by generating inflation faster than people anticipate. Once expectations adapt, the curve shifts and the tradeoff disappears.

This reframing makes expectations management central to modern monetary policy. Under rational or adaptive expectations, if a central bank consistently targets 2% inflation and is credible, πᵉ anchors near 2%. Then the Phillips curve equation says that as long as unemployment stays near the natural rate and there are no supply shocks, inflation stays near 2% — automatically. A credible inflation target is a self-fulfilling equilibrium. Conversely, if credibility breaks down and expectations become unanchored (as happened in the 1970s), getting inflation back down requires accepting unemployment above the natural rate — a deliberate recession — to convince the public that inflation will fall. The Volcker disinflation of 1981–82 is the canonical case: the Fed raised rates sharply, unemployment hit 10%, but it successfully broke high inflation expectations, pulling the Phillips curve back down to a position where moderate inflation and acceptable unemployment could coexist.

Practice Questions 5 questions

Prerequisite Chain

Understanding Zero → The Number Zero → Counting to Five → Counting to 10 → Counting to 20 → Counting a Set of Objects Up to 20 → Cardinality: The Last Number Counted → Matching Numerals to Quantities → Subitizing Small Quantities → Addition Within 10 → Number Bonds to 10 → Addition Within 20 → Doubles and Near Doubles → Doubles Facts Within 10 → Near Doubles Facts Within 20 → Mental Math Strategies for Addition → Mental Math: Adding and Subtracting Tens → Addition Within 100 → Repeated Addition as Multiplication → Multiplication as Equal Groups → Multiplication: Arrays → Basic Multiplication Facts (0s, 1s, 2s, 5s, 10s) → Multiplication Facts Within 100 → Division as Equal Sharing → Division as Grouping (Measurement Division) → Division: Grouping (Repeated Subtraction) Model → Division: Fair Sharing Model → Division as Equal Sharing → Division as Grouping → Basic Division Facts → Division Facts Within 100 → Multiplication and Division Fact Families → Relationship Between Multiplication and Division → Division Facts as Inverse of Multiplication → Remainders and Quotients in Division → Division Word Problems → Multi-Step Word Problems → Solving Multi-Step Word Problems → Multiplication Word Problems → Division Word Problems → Introduction to Long Division → Factors and Multiples → Prime and Composite Numbers → Equivalent Fractions → Relating Fractions and Decimals → Decimal Place Value → Integers and the Number Line → Comparing and Ordering Integers → Absolute Value → Adding Integers → Subtracting Integers → Multiplying Integers → Dividing Integers → Unit Rates → Proportions → Percent Concept → Converting Between Fractions, Decimals, and Percents → Operations with Rational Numbers → Two-Step Equations → Solving Multi-Step Equations → Equations with Variables on Both Sides → Angle Pairs: Complementary, Supplementary, and Vertical → Parallel Lines and Transversals → Corresponding Angles → Alternate Interior Angles → Triangle Angle Sum Theorem → Exterior Angle Theorem → Triangle Inequality Theorem → Similar Triangles: AA Similarity → Similar Triangles: SSS and SAS Similarity → Proportions in Similar Triangles → Right Triangle Trigonometry Introduction → Sine, Cosine, and Tangent Ratios → Trigonometric Ratios Review → Radian Measure → Converting Between Degrees and Radians → The Unit Circle → Graphing Sine and Cosine → Graphing Tangent and Reciprocal Trigonometric Functions → Derivatives of Trigonometric Functions → Antiderivatives → Indefinite Integrals → Basic Integration Rules → Riemann Sums → Definite Integral Definition → Double Integrals: Definition and Setup → Iterated Integrals and Fubini's Theorem → Double Integrals over Rectangular Regions → Double Integrals over General Regions → Applications of Double Integrals: Area, Mass, and Moments → Center of Mass → Conservation of Linear Momentum → Elastic Collisions → Inelastic Collisions → Coefficient of Restitution → Collision Analysis and Real-World Applications → Two-Body Collisions in the Center-of-Mass Frame → Reduced Mass and Two-Body Problems → Kinematics in Two Dimensions → Projectile Motion → Circular Motion: Kinematics → Simple Harmonic Motion → Introduction to Differential Equations → Solow Growth Model → Capital Accumulation and the Golden Rule → Investment Demand and Capital Formation → Aggregate Demand → The AS-AD Model → Business Cycles → Recession Definition, Measurement, and Dating → The Output Gap → The Output Gap and Potential Output → Phillips Curve Derivation in New Keynesian Models → Inflation-Unemployment Tradeoff and Modern Phillips Curve → Natural Rate Hypothesis and NAIRU → Medium-Run Equilibrium at the NAIRU → Wage-Price Dynamics and the Inflation Process → Supply Shocks and Stagflation → NAIRU: Non-Accelerating Inflation Rate of Unemployment → The Expectations-Augmented Phillips Curve

Longest path: 120 steps · 928 total prerequisite topics

Prerequisites (4)

Leads To (1)