Motivated by the low-carbon economic development, we study the competition issues in apparel supply chains considering consumers’ low-carbon preferences. In this paper, we construct static and dynamic decision-making models under different game scenarios based on the centralized and decentralized frameworks. Firstly, we explore the critical conversion conditions between the centralized and decentralized frameworks with the static game models. The centralized model benefits the whole supply chain when the low-carbon investment coefficient is moderate. On the contrary, the decentralized model benefits the supply chain when the low-carbon investment coefficient is smaller or larger. Secondly, combined with the local and global bifurcation theory, we examine the complex effect of adjustment parameters on the dynamic system. The dynamic game systems show bifurcation, chaos, and multi-stability as the adjustment parameters change continuously. Therefore, we apply a hybrid chaos control method to stabilize the dynamic system. Thirdly, we compare the average profits in the dynamic game scenarios and show the complex relationships with the varying parameters. Finally, some management insights and suggestions are presented based on our findings.

在低碳经济发展的推动下，我们研究了考虑消费者低碳偏好的服装供应链中的竞争问题。在本文中，我们基于集中式和分散式框架构建了不同游戏场景下的静态和动态决策模型。首先，我们用静态博弈模型探索集中式和分散式框架之间的关键转换条件。当低碳投资系数适中时，集中模式对整个供应链都有好处。相反，当低碳投资系数较小或较大时，分散模式对供应链有利。其次，结合局部和全局分岔理论，考察了调整参数对动力系统的复杂影响。动态博弈系统随着调整参数的不断变化而呈现出分岔、混沌和多稳定性。因此，我们采用混合混沌控制方法来稳定动态系统。第三，我们比较了动态游戏场景中的平均利润，并展示了与变化参数的复杂关系。最后，根据我们的调查结果提出了一些管理见解和建议。