Labor Markets

Labor Market Economics

name: labor-markets description: Labor market economics — unemployment, wages, Phillips Curve. Cover NAIRU, Phillips Curve, Okun's law.

When to Activate

• Analyzing unemployment dynamics (structural, cyclical, frictional)
• Estimating the NAIRU and its implications for monetary policy
• Applying the Phillips Curve to assess inflation-unemployment trade-offs
• Using Okun's Law to relate output gaps to unemployment
• Evaluating wage growth dynamics and labor share of income
• Assessing labor market tightness and its implications for inflation
• Analyzing minimum wage effects on employment and welfare
• Evaluating labor market policies (active vs passive measures)
• Comparing labor market institutions across countries

Core Concepts

Types of Unemployment

Measurement:

Unemployment rate = Unemployed / Labor Force x 100%
Labor force = Employed + Unemployed (actively seeking work)
Participation rate = Labor Force / Working-age Population x 100%
Employment rate = Employed / Working-age Population x 100%

Broader measures:
  U-3: Official unemployment rate (ILO definition)
  U-6: Includes marginally attached workers and involuntary part-time
       (better measure of labor market slack)

Beveridge Curve: Relationship between vacancy rate and unemployment rate
  - Outward shift = increased mismatch (structural unemployment rising)
  - Movement along curve = cyclical changes

NAIRU (Non-Accelerating Inflation Rate of Unemployment)

The unemployment rate consistent with stable inflation. Below NAIRU, inflation accelerates; above NAIRU, inflation decelerates.

NAIRU estimation approaches:
  1. Phillips Curve estimation: Extract NAIRU as the unemployment rate
     where inflation is stable (inflation expectations = actual inflation)
  2. Kalman filter / state-space models: Estimate time-varying NAIRU
  3. Structural models: Based on wage-setting and price-setting equations
  4. Reduced-form: HP filter or similar statistical decomposition

Typical NAIRU estimates (as of mid-2020s):
  US:          ~4.0-4.5%
  Eurozone:    ~6.5-7.0%
  Germany:     ~3.0-3.5%
  UK:          ~4.0-4.5%
  Japan:       ~2.5-3.0%

NAIRU is NOT constant — it shifts due to:
  - Labor market reforms (flexibility, matching efficiency)
  - Demographic changes (aging workforce)
  - Globalization and trade openness
  - Hysteresis effects (prolonged unemployment raises NAIRU)
  - Technology and automation

Policy significance: Central banks use NAIRU estimates to gauge labor market slack and calibrate monetary policy. If unemployment < NAIRU, expect inflationary pressure. Wide uncertainty bands around NAIRU estimates limit its precision as a policy guide.

Phillips Curve

Original Phillips Curve (1958): Negative relationship between wage growth and unemployment.

Expectations-Augmented Phillips Curve (Friedman-Phelps):

pi = pi_e - beta * (u - u*) + supply_shock

pi     = actual inflation
pi_e   = expected inflation
u      = actual unemployment rate
u*     = NAIRU
beta   = slope parameter (sensitivity of inflation to unemployment gap)
supply_shock = cost-push factors (oil prices, exchange rate, etc.)

When u < u*: inflation exceeds expectations (economy overheating)
When u > u*: inflation falls below expectations (slack in economy)
When u = u*: inflation equals expectations (stable)

New Keynesian Phillips Curve:

pi_t = beta * E[pi_t+1] + kappa * x_t

pi_t      = current inflation
E[pi_t+1] = expected future inflation (forward-looking)
x_t       = output gap (or real marginal cost)
kappa     = slope (sensitivity to the output gap)

Key feature: Forward-looking expectations (rational expectations),
not backward-looking (adaptive expectations)

Phillips Curve flattening: Since the 1990s, the Phillips Curve has appeared flatter in many economies — inflation is less responsive to unemployment changes. Explanations:

• Better-anchored inflation expectations
• Globalization (global slack matters, not just domestic)
• Gig economy and labor market flexibility
• Measurement issues (output gap uncertainty)
• Non-linear: Curve may steepen at very low unemployment rates

Okun's Law

Relationship between output gap and unemployment gap:

u - u* = -beta * (Y - Y*) / Y*

Typical beta: ~0.4-0.5 for the US
  → A 1 percentage point increase in unemployment corresponds to
    roughly 2-2.5% decline in GDP relative to potential

Alternative (growth rate form):
  Change in u = -beta * (g - g*)

  g   = actual GDP growth
  g*  = potential GDP growth (typically ~2% for advanced economies)
  beta = ~0.4-0.5

  → If GDP growth is 1pp below potential, unemployment rises ~0.4-0.5pp

Limitations:

• Relationship varies across countries (labor market flexibility matters)
• Asymmetric: Unemployment rises faster in downturns than it falls in recoveries
• Structural breaks possible (post-crisis periods may shift the relationship)
• Labor hoarding in some countries dampens the response

Wage Determination

Wage-setting frameworks:

• Marginal productivity theory: Wages = marginal product of labor in competitive markets
• Efficiency wages: Firms pay above market-clearing wages to reduce turnover, increase effort, and attract better workers
• Insider-outsider theory: Employed workers (insiders) have bargaining power; unemployed (outsiders) cannot underbid them due to hiring/firing costs
• Collective bargaining: Wages set through negotiations between unions and employers. Wage outcomes depend on union density, bargaining coverage, and coordination

Wage Phillips Curve:

Nominal wage growth = Inflation expectations + Productivity growth - beta * (u - u*)

Real wage growth should track productivity growth in equilibrium.
If real wages grow faster than productivity → unit labor costs rise → inflationary
If real wages grow slower than productivity → labor share of income falls

Labor share of income:

• Labor share = Total compensation / GDP
• Declining trend in many advanced economies since the 1980s
• Drivers: Globalization, automation, declining union power, superstar firms, capital-biased technical change

Labor Market Institutions

Methodology

1. Labor market slack assessment: Compare unemployment rate to NAIRU estimate; examine U-6, participation rate, and vacancy-unemployment (Beveridge Curve) data
2. Phillips Curve estimation: Estimate the relationship between inflation and unemployment using appropriate specification (expectations-augmented or New Keynesian)
3. Okun's Law application: Estimate the output gap implied by unemployment data, or vice versa
4. Wage dynamics analysis: Decompose wage growth into productivity, inflation expectations, and labor market tightness components
5. Policy evaluation: Assess impact of labor market reforms on NAIRU, employment, and welfare
6. Cross-country comparison: Compare labor market outcomes relative to institutional frameworks

Templates

Labor Market Dashboard

Country: __________    Period: __________

Employment Indicators:
  Unemployment rate (U-3):        ____%    (NAIRU estimate: ____%)
  Unemployment rate (U-6):        ____%
  Labor force participation:      ____%
  Employment rate:                ____%
  Vacancy rate:                   ____%
  V/U ratio:                     _____

Wage Indicators:
  Nominal wage growth (YoY):      ____%
  Real wage growth (YoY):         ____%
  Productivity growth (YoY):      ____%
  Unit labor cost growth (YoY):   ____%
  Labor share of GDP:             ____%

Phillips Curve Assessment:
  Unemployment gap (u - u*):      ____%
  Implied inflation pressure:     [ ] Disinflationary  [ ] Neutral  [ ] Inflationary

Okun's Law Implied:
  Output gap from unemployment:   ____%
  Consistent with GDP growth:     ____%

Quality Gate

• Unemployment decomposed by type (frictional, structural, cyclical)
• NAIRU estimate used with explicit uncertainty range acknowledged
• Phillips Curve specification appropriate (expectations-augmented or NK)
• Phillips Curve flattening considered when interpreting slope estimates
• Okun's Law coefficient appropriate for the country analyzed
• Wage growth decomposed into productivity, expectations, and slack components
• Broader measures of slack considered (U-6, participation, underemployment)
• Labor market institutions accounted for in cross-country comparisons
• Beveridge Curve shifts assessed for structural change in matching efficiency
• Distributional effects of labor market conditions analyzed (by skill, age, region)