This paper divides the population into two groups: the "inheritors" or "rentiers" (whose wealth is smaller than the capitalized value of their inherited wealth, i.e. who consumed more than their labor income during their lifetime); and the "savers" or "self-made men" (whose wealth is larger than...

We consider an infinite-horizon inter-generational economy with identical agents differing only in their inherited wealth and with a constant-returns-to-scale technology using capital and labour (called "effort") and displaying a purely idiosyncratic risk. If effort is contractible, full...