Existence and uniqueness of Arrow-Debreu equilibria with consumptions in L^0+

We consider an economy where agents’ consumption sets are given by the cone L 0 + of non-negative measurable functions and whose preferences are defined by additive utilities satisfying the Inada conditions. We extend to this setting the results in Dana [1] on the existence and uniqueness of Arrow-Debreu equilibria. In the case of existence, our conditions are necessary and sufficient.