This paper focuses on the bargaining behavior of supply chain members and studies the stability of the bargaining system. There are two forms of bargaining in the process of negotiation. One is separate bargaining, and the other is that the automobile manufacturers form an alliance and bargain with the supplier collectively. We explore the influence of bargaining power and adjustment speed on the stability of the dynamic system and find that both of the factors need to be small to maintain the stability of the supply chain. After comparing the two forms of bargaining in terms of profits and stable regions, we find that the collective bargaining is a pattern with the existence of risk and benefit simultaneously. In order to control chaos in collective bargaining to lower the risk, we adopt the delay feedback control method. With the introduction of the control factor, the system tends to be stable finally.

中文翻译：

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不同议价系统中的复杂动力学分析

本文重点讨论了供应链成员的议价行为，并研究了议价系统的稳定性。谈判过程中有两种形式的讨价还价。一个是单独的讨价还价，另一个是汽车制造商结成联盟并与供应商共同讨价还价。我们探讨了议价能力和调整速度对动态系统稳定性的影响，并发现两个因素都必须很小，才能维持供应链的稳定性。通过比较两种讨价还价形式的收益和稳定区域，我们发现集体谈判是一种既有风险又有收益的模式。为了控制集体谈判中的混乱情况以降低风险，我们采用延迟反馈控制方法。