In this research, the effect of environmental traarency on the customers' behavior of the green and non-green products are considered and modeled. In addition, corporate social responsibility is taken into account as the social aspect of sustainability. In particular, we consider the consumers' satisfaction and formulate it based on traarency, which is performed for the first time. Moreover, we study the long-term behavior of supply chains through the evolutionary game theory. In this research, four problems are considered and modeled. First, the study of a non-green supply chain considering environmental traarency and advertising. In this problem, a supply chain is considered that produce a non-green product and uses advertising. Second, the survey of a green supply chain considering traarency.