We show that, independently of the topology chosen on the set of all infinity utility streams, there is no Social Welfare Function preserving the von Weizsäcker’s overtaking criterion. With our proof we extend the impossibility result of Basu and Mitra.

This paper studies first-order differentiability properties of the value function in concave dynamic programs. Motivated by economic considerations, we dispense with commonly imposed interiority assumptions. We suppose that the correspondence of feasible choices varies with the vector of state...