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The system model and protocol structure of the superposition modulated cooperative transmission in multiuser wireless networks is presented. The applicability of this model becomes difficult with increasing number of users. In this work, this problem is evaluated by the application of coalition formation games. In coalition formation games the stability of the coalitions is investigated. Nash stability is robust to the deviations even when there is no need to permission for players who want to pass from a coalition to another. The distribution of the gains provided by the coalitions affects the stability. In this work, the core of the gain distribution techniques is investigated. The realization of the fact that the core includes the gain distribution techniques which provide Nash stability is explained by means of an example.