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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)/L− δKt/Lt 


and


kt+1(1+n) = k+ sAkα− δkt


derive an expression that defines the steady-state Beveridge curve.

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