  A favorable population schedule for the entire potential human family is
sought, under the overlapping generations framework, by treating population (or
fertility) as a planning variable in a dynamical social welfare maximization
context. The utilitarian and maximin social welfare functions are examined,
with zero future discounting, while infinity in the maximand is circumvented by
introducing the depletion of energy resources and its postponement through
technological innovations. The model is formulated as a free-horizon dynamical
planning problem, solved via a non-linear optimizer. Under exploratory
scenarios, we visualize the potential trade-offs between the two welfare
criteria.
