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In this work we study the asymptotic behavior of optimal trajectories for a class of differential inclusions of the form [xacute](t)$isinv;b(x(t)) - x(t) arising in economic dynamics where b belongs to a space of set-valued mappings. We establish the existence of an open everywhere dense subset E of the space of set-valued mappings such that each mapping from E has the turnpike property
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