In a recent paper Hvidding [5] derived some interesting policy implications of a non-linear Phillips curve when the unemployment rate is a random variable. Hvidding’s analysis focussed on the following model:
![](//static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:20220902051702474-0222:S0770451800011660:S0770451800011660_inline11.gif?pub-status=live)
where p is the current inflation rate, u is the unemployment rate, p* is the expected inflation rate and a, b and c are constants. The influence of uncertainty in this model manifests itself in the expected value of u-1. For this Hvidding used an approximation suggested by Mood, Graybill and Boes ([6] page 181).