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ECONOMICS • LABOR ECONOMICS

Unemployment Flows & Steady State

Adjust job-finding and separation rates to watch employment and unemployment converge toward a flow-based steady state.

● LABOR MARKET FLOWShires ↔ separations
Current unemployment
Steady-state unemployment
Hires
Separations

Reasoning inspector

live model state
Unemployment rate—
Steady-state rate—
Employed—
Unemployed—
Hires—
Separations—

Experiment with the mechanism

Unemployment is a stock shaped by flows into and out of employment. A stable unemployment rate emerges when separations into unemployment are balanced by job finding out of unemployment.

LEARN WITH THE SIMULATION

Understand Unemployment Flows & Steady State by experimenting.

START HERE

Labor-market unemployment changes because workers move between employment and unemployment. This simulation treats those movements as two flows: separations from jobs and job finding from unemployment. The unemployment stock rises when separations exceed hires and falls when hires exceed separations, converging toward a flow-based steady state when the two flows balance.

BUILD THE IDEA

What you should understand first

  • Relate unemployment to worker flows rather than treating it as a fixed percentage.
  • Derive the steady-state unemployment rate from separation and job-finding rates.
  • Distinguish a stock such as unemployment from the hires and separations that change it.

TRY IT YOURSELF

Which matters more for steady-state unemployment: job finding or job separation?

  1. Record the default steady-state unemployment rate.
  2. Raise only the job-finding rate and replay the transition.
  3. Reset, then raise only the separation rate.
  4. Compare both the new steady-state rate and the speed of convergence.
Read the visual:

Higher job finding lowers the steady-state unemployment rate, while higher separation raises it. Both also change how quickly the current unemployment stock approaches its long-run flow balance.

WHY IT WORKS 01

Why the steady state depends on two rates

At steady state, separations into unemployment equal hires out of unemployment. With employment E and unemployment U, the balance condition is sE = fU. Because E + U equals the labor force, rearranging gives a steady-state unemployment share of s/(s+f). A higher finding rate therefore lowers the fraction of workers who remain unemployed, while a higher separation rate raises it.

WHY IT WORKS 02

Stocks can be stable while flows are large

A stable unemployment rate does not imply that nobody changes jobs or employment status. Large numbers of workers can separate and find jobs during the same period. If those flows are nearly equal, the unemployment stock barely moves even though turnover is substantial. This distinction between stocks and flows is central to interpreting labor-market data.

DO NOT MIX THESE UP

Common misconception

The unemployment rate is not determined only by layoffs. A labor market can have substantial hiring and separation at the same time while the unemployment stock remains nearly stable. This model also omits labor-force entry, exit, vacancies, matching frictions beyond a fixed finding rate, and differences across workers.

PRACTICE CHALLENGE

Can you create high worker turnover while keeping unemployment near its starting rate?

  • Raise both the separation and job-finding rates.
  • Replay the transition and inspect hires and separations.
  • Adjust the two rates until the unemployment rate moves only slightly.
  • Explain how large offsetting flows can leave the stock nearly unchanged.
Reveal the reasoning

Yes. The unemployment stock changes by separations minus hires. When both flows are large but close to equal, many workers move between employment states even though the unemployment rate changes little. Stability of the stock therefore does not imply low turnover.

MODEL BOUNDARIES

What this simulation assumes

Every simulation simplifies reality or a mathematical system. These are the assumptions and limits to keep in mind while interpreting the results.

Model assumptions

  • The labor force is fixed during the simulated transition.
  • Job-finding and separation rates are constant within a run.
  • Every unemployed worker shares the same finding rate and every employed worker shares the same separation rate.

Model limitations

  • Labor-force entry and exit, vacancies, wages, matching heterogeneity and business-cycle feedback are omitted.
  • The discrete-period transition is educational and not calibrated to a specific country or frequency.

CONNECT IT

Where this matters

  • Labor-market dynamics
  • Unemployment-duration intuition
  • Flow-stock reasoning
  • Business-cycle labor analysis

WORDS THAT MATTER

Key vocabulary

Separation rate
The fraction of employed workers who leave employment during one model period.
Job-finding rate
The fraction of unemployed workers who enter employment during one model period.
Steady state
A condition where inflows and outflows balance so the unemployment rate no longer changes.
Stock
A quantity measured at a point in time, such as the number of unemployed workers.