Existence of equilibrium in an OLG model with production and altruistic preferences

This note deals with the existence and uniqueness of a non-trivial steady-state equilibrium in an overlapping generations (OLG) model with productive capital and altruistic agents, We establish a necessary and sufficient condition for operative bequests which extends Abel (1987) and Well (1987). Interestingly, we prove that the OLG model with production and altruistic agents always experiences a non-trivial steady-state equilibrium.