Long run Phillips curve
The above graph shows the long-run trade-off between inflation and unemployment. In the long run, there is no trade-off, as the economy must return to the natural rate of unemployment on the long-run Phillips curve.
In the short run, the economy can move along a short-run Phillips curve, like SRPC1. But, over time (as inflation expectations adjust) the short-run Phillips curve will shift to return the economy to the long-run Phillips curve, for example shifting from SRPC1 to SRPC2.
Relation Between short-run and long-run trade off:
As discussed above in long-run there is no relationship between inflation and unemployment and in long run natural rate of unemployment prevails but there is a trade-off between higher inflation and lower unemployment in the short run. The trade-off between inflation and unemployment disappears in the long run.
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