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Res."],"accepted":{"date-parts":[[2024,6,8]]},"published-print":{"date-parts":[[2024,9]]},"abstract":"<jats:p>In a partition-graph restricted cooperative game with incomplete information, it is assumed that a prior coalition takes part in the grand coalition <jats:italic>N<\/jats:italic> in form of communication structure. Before the grand coalition is formed, all the players participate in the cooperation just by communication structure. Hence, a new cooperative game with communication structure (a restricted game for short) is formed. In this study, a new value of a restricted game is proposed, which is defined by the Myserson value and the Shapley value. It is proved that the added value of grand coalition is distributed by a certain ratio (<jats:italic>i.e<\/jats:italic>., the Shapley value). By generalized the distribution ratio, a further extension of the proposed value is gotten, <jats:italic>i.e<\/jats:italic>., the weight extended value. 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