08

From Short to Medium Run (IS-LM-PC)

Hysteresis in Unemployment

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Hysteresis: persistent recessions raise the natural rate un itself, making damage long-lasting. Channels — (1) skill depreciation of long-term unemployed; (2) insider-outsider bargaining; (3) stigma from long spells. Implies conventional demand policy can have permanent effects on un — justifying aggressive stabilisation.

Derivation

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The Standard View (No Hysteresis)

un=(m+z)/αu_n = (m + z)/\alpha

Natural rate is structural. Demand shocks cause temporary deviations; uu eventually returns to unu_n.

The Hysteresis Challenge

unt=un0+λk=1Kutku_n^t = u_n^0 + \lambda \sum_{k=1}^{K} u_{t-k}

Natural rate depends on past unemployment. Persistent recessions raise unu_n itself.

Three Channels

The hysteresis mechanism is not one thing but three reinforcing processes:

  1. Skill depreciation. Long unemployment spells erode human capital.
  2. Insider-outsider bargaining (Blanchard-Summers 1986). Employed workers negotiate wages without regard for the unemployed.
  3. Stigma. Employers use long unemployment duration as a negative productivity signal.

European Experience

| Year | EU un | |------|-------| | 1975 | ~3% | | 1985 | ~10% | | 1995 | ~10% | | 2005 | ~8% |

EU unemployment ratcheted up after 1970s oil shocks and 1980s recessions — never fully recovered. US unemployment, in contrast, mean-reverts much faster.

Policy Implications

  • Before recession: avoid letting recessions deepen — hysteresis makes downturns permanent.
  • After recession: aggressive demand stimulus, even if overshooting inflation target, pays off by preventing un drift.
  • Labour-market policy: active labour-market programmes (training, job-search support) reduce hysteresis.

This underpins the "run hot" policy approach (Yellen 2017, ECB 2020s) — tolerating above-target inflation to keep uu low.

Worked Example

Full-hysteresis model: un_t = u_{t−1}. Start at un_0 = 5%. Recession pushes u to 8% for 2 years, then demand recovers.

  1. Year 1: u = 8%, un = 5%.
  2. Year 2: un_1 = u_0 = 5%. u = 8%.
  3. Year 3: un_2 = u_1 = 8%. Demand recovers, u = un_2 = 8%.
  4. Permanent un rise of 3 pp from a 2-year recession. Demand policy to avoid the initial rise would have saved the entire increase.
Full hysteresis: 2-year recession permanently raises un by 3 pp. Implies strong preventive-stabilisation rationale.

Common Mistakes

  • Assuming un is always structural and immune to cyclical shocks — hysteresis rejects this.
  • Confusing hysteresis with the standard natural-rate model — they differ on persistence of shocks.
  • Ignoring policy implications: under hysteresis, demand stabilisation has long-run value.
  • Treating all forms of unemployment as equally damaging — long-term spells are disproportionately harmful.

Exam Cues

  • Hysteresis: persistent recessions raise un itself.
  • Three channels: skill depreciation, insider-outsider bargaining, stigma.
  • European vs US: EU shows hysteresis, US mean-reverts faster.
  • Policy implication: aggressive demand stabilisation justified if hysteresis is present.

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