  We obtain dual actions for spin $s \geq 2$ massless fields in $(A)dS_d$ by
solving different algebraic constraints in the same first-order theory. Flat
space dual higher spin actions obtained by Boulanger, Cnockaert and Henneaux
\cite{BH} by solving differential constraints are shown to result from our
formulation in a sort of quasi-classical approximation for the flat limit. The
case of $s=2$ is considered in detail.
