Currently, the rigid restrictions on agents with only constrained motivations (corresponding constrained cooperations) cause the high violation rate, low profits and even harm to their reputations without incent motivations in agent mental models, and as a result extremely limit the agent cooperations. To cope with the problems (To incent agents to cooperate with low violation rates and high profits, and to make them more active to cooperate), incent motivations (corresponding incent cooperations) are introduced, 3 kinds of motivations are set forth: the constrained motivations including norm (N), policy (P), and contract (C), the incent motivations including bargain (A), promotion (M), and sticker (S) and the internal motivation desire (D). The NPCAMSD logic of the model is formally depicted, and the semantic, syntax and axiom are analysed. The overcoming of motivation logical omniscience problem is analysed. The two layer motivation conflict resolving method is introduced. The implementation of the model and experiment prove that the mental model has low contract violation rate, high profits in cooperations and works well for the diverse contemporary business cooperations.