Of course the idea that a trade-off between employment and inflation exists was and still is a very tempting one to politicians. The so-called Phillips curve could then be interpreted as a menu card that allows politicians to choose whether they want to have high inflation or high unemployment.
Soon the temptation was followed and many governments tried to fight unemployment by conducting inflationary monetary policy. However, when the attempt was made to exploit the above relationship, it collapsed. The employment-inflation trade-off that seemed stable for a whole century broke down during the late 1960s and early 1970s.