# Hysteresis (economics)

In economics, hysteresis refers to the possibility that periods of high unemployment tend to increase the rate-of-unemployment-below-which-inflation-begins-to-accelerate, commonly referred to as the natural rate of unemployment or non-accelerating inflation rate of unemployment (NAIRU). The term is based on the physical phenomenon of hysteresis in magnetic materials.

## Implication for statistical characterization of unemployment

If the unemployment rate exhibits hysteresis, then it follows a statistically non-stationary process, because the expected value of the unemployment rate now and in the future permanently shifts when the rate itself changes. The process with hysteresis is a unit root process, which in its simplest form can be characterized as

${\displaystyle U_{t}=U_{t-1}+e_{t},}$

where ${\displaystyle U_{t}}$ is the unemployment rate at time t and ${\displaystyle e_{t}}$ is a stationary error term representing outside shocks to the rate. According to this characterization, ${\displaystyle E_{t-1}(U_{t+\tau })=U_{t-1}}$ for all ${\displaystyle \tau =0,1,\ldots }$, where ${\displaystyle E_{t-1}}$ refers to an expectation conditional on values observed no later than time t–1; any temporary shock to unemployment, represented by a single non-zero value of ${\displaystyle e_{t}}$, results in a permanent change to expected unemployment (even for ${\displaystyle \tau }$ indefinitely large so the expectation is for indefinitely far into the future). A more elaborate model would allow ${\displaystyle E_{t-1}(U_{t+\tau })}$ to go up positively but less than one-for-one with ${\displaystyle e_{t}}$. In contrast, a non-hysteresis model of unemployment would have ${\displaystyle U_{t}}$ following a stationary process, so that ${\displaystyle E_{t-1}U_{t+\tau }}$ for arbitrarily large ${\displaystyle \tau }$ would always equal a permanently fixed natural rate of unemployment.

## Causes

When some negative shock reduces employment in a company or industry, there are fewer employed workers left. As the employed workers usually have the power to influence or set wages, their reduced number incentivizes them to bargain for even higher wages when the economy again gets better, instead of letting the wage stay at the equilibrium wage level, where the supply and demand of workers would match. This causes hysteresis, i.e., the unemployment becomes permanently higher after negative shocks.[1]

It has also been argued that unemployed people lose their skills during unemployment, which makes them less likely to again get jobs.Template:Hargreaves Heap, Economic Journal 1980

## Policy implications

If there is no hysteresis in unemployment, then for example if the central bank wishes to lower the inflation rate it may shift to a contractionary monetary policy, which if not fully anticipated and believed will temporarily increase the unemployment rate; if the contractionary policy persists, the unemployment rise will eventually disappear as the unemployment rate returns to the natural rate. Then the cost of the anti-inflation policy will have been temporary unemployment. But if there is hysteresis, the unemployment rise initiated by the contractionary policy will never completely go away, and in this case the cost of the anti-inflation policy will have been permanently higher unemployment, making the policy less likely to have greater benefits than costs.

## Evidence

The experience of the United Kingdom since the early 1980s counts against hystersis as a determinant of the natural rate of unemployment, as unemployment fell much faster in the recovery from the early 1990s recession than after the early 1980s recession.[2]

An econometric study of fourteen OECD countries rejected the hysteresis hypothesis,[3] as did a study at the state level in the US.[4]

## References

1. ^ Olivier J. Blanchard and Lawrence H. Summers, 1986. "Hysteresis and the European Unemployment Problem," NBER Macroeconomics Annual, 1, p p. 15-78.
2. ^ http://www.economicshelp.org/macroeconomics/unemployment/changing_natural_rate_unemployment.html
3. ^ http://mpra.ub.uni-muenchen.de/9915/1/MPRA_paper_9915.pdf