The formation of coalition may imply some theoretical difficulties, such as costs arising from forming a coalition or sharing information among agents. In this paper we will assume that only a subset S of the set of all possible coalitions in an economy is the set of admissible coalitions. We define the S-core concept, as in Hervs-Moreno. We will extend to a model with both uncertainty and asymmetric informations the results showed in Okuda and Shitovitz.