The issue of green supply chain management can be seen as an equilibrium process which includes the game between the supplier and the submitter of the whole supply chain. The boundary rationality of the submitter and supplier made the game process to be a process for the stable state. Based on the model of evolutionary game involving the cooperation between the supplier and submitter of the supply chain, we find that the initial state run a key role on the game. And the unstable state strategies have the trend to achieve or degenerate to the perfect or the terrible strategy during the operation of the green supply chain. And several parameters can be controlled for the well operation of green supply chain management
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