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With the deepening of the global economic integration development, the sharpening of market competition and the worsening of the management environment, the coopetitive quasi-market network has been becoming an important way for more and more business enterprises organization to make reasonable use of resources mutually. So the inter-enterprise collaboration resource network, as an important style of the co-opetitive quasi-market network organization, has become a hot point which and experts in the world pay close attention to and research on. Apply evolutionary game method to build the replicated dynamic model of the trust relationship among the partners in the inter-enterprise collaboration resource network under bounded rationality. In the meantime, the learning course of trust or distrust strategy among participant enterprises is discussed in this paper. Moreover, the long-term evolutionary trend of partner selection strategies are described based on evolutionary stable strategy, and then the system's evolutionary equilibrium and stability between trust and distrust partners are also studied respectively. Finally, it is pointed out that the perfect trust restraint mechanism is the key to maintain the collaboration resource network relationship between trust partners and distrust partners, which also provides some guidance for more extensive inter-enterprise collaboration resource network development afterwards.