Existence of equilibrium in OLG economies with increasing returns

We consider a standard overlapping generation economy with a simple demographic structure with a new cohort of agents at each period with an economic activity extended over two successive periods and finitely many firms active forever. The production possibilities are described by a sequence of production mapping and the main innovation comes from the fact that we allow for increasing returns to scale of more general type of non-convexities. To describe the behavior of the firms, we consider loss-free pricing rules, which covers the case of the average pricing rule, the competitive behavior when the firms have convex production sets, and the competitive behavior with quantity constraints à la Dehez-Drèze. We prove the existence of an equilibrium under assumptions, which are at the same level of generality than the ones for the existence in an exchange economy