Consider the search model in Pissarides (2000). Assume that the matching function is Cobb-Douglas so that the matching rate per time period is given by
m(u,v) =uαv(1−α).
Using equations
(Kt+1/Lt)(Lt+1Lt+1) = (Kt/Lt) + (sAKαtL(1−α)t)/Lt − δKt/Lt
and
kt+1(1+n) = kt + sAkαt − δkt
derive an expression that defines the steady-state Beveridge curve.
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