This paper deals with the role of bubbles, having the same meaning as Ponzi games, for implementing efficient growth paths in a closed economy overlapping generations model. It is shown that the well-known arbitrage condition for bubbles, namely that they must yield the same return in...

In a world of endogenous fertility, where the number of descendants is an integral part of the economic allocation, the traditional concept of Pareto-optimality cannot be applied any longer: the number of individuals to be present on earth may vary between any two allocations we wish to compare....