Nowadays, with global scientific and technological levels rapidly improving, innovation has been a great need for enterprises to solve the dilemma. Combined with EPR (Extended Producer Responsibility) and the topic of remanufacturer, adopting green innovation has been an effective way when green supply chain management is applied. In this paper, we focus on the activity of green innovation and build a model where the manufacturer will invest in green innovation to improve the product availability rate of recycled products and save the cost in the process of remanufacturing. Besides, we take three stages in a cycle into consideration, that is, production/sale, recycling used production, and remanufacture/sale, and meanwhile, the government gives a subsidy to enterprises to encourage the activity of recycling. In the process of model solving, we take a dynamic decision-making way into consideration. We find that the decision adjustment speed of players has a significant effect on the stability, and in a long dynamic repeated game process, with the speed of decision adjustment increasing, the system enters into chaos at the end of the process. It is interesting that when the speed of decision adjustment exceeds the critical point of the bifurcation diagram, the profit of the manufacturer decreases and then enters a chaotic state. Besides, with the level of subsidies increasing, the area of stable region decreases gradually. Certain investment has a positive effect on product selling and recycling as well as the profit, and the government subsidy undoubtedly raises the profit of manufacturers and encourages the activity of recycling. In the end, we make chaos control by adjusting the decision method.

中文翻译：

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EPR政策与政府补贴下供应链绿色创新引进的复杂博弈研究

如今，随着全球科学技术水平的迅速提高，创新已成为企业解决这一难题的迫切需求。结合EPR（生产者扩展责任）和再制造商这一主题，采用绿色创新已成为应用绿色供应链管理的有效方法。在本文中，我们将重点放在绿色创新活动上，并建立一个模型，制造商将在绿色创新上进行投资，以提高再生产品的产品利用率，并在再制造过程中节省成本。此外，我们将生产/销售，废旧产品的再利用和再制造/销售的三个阶段考虑在内，同时，政府对企业给予补贴，以鼓励其进行回收活动。在模型求解过程中，我们会考虑动态决策方式。我们发现，玩家的决策调整速度对稳定性有重要影响，在长时间的动态重复游戏过程中，随着决策调整速度的提高，系统最终会陷入混乱。有趣的是，当决策调整的速度超过分叉图的临界点时，制造商的利润将下降，然后进入混乱状态。此外，随着补贴水平的提高，稳定地区的面积逐渐减少。一定的投资对产品的销售和回收利用以及利润都有积极的影响，而政府的补贴无疑会提高制造商的利润并鼓励回收活动。到底，