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首页> 外文会议>International conference on group decision and negotiation >Nash Stability in a Multi-objective Graph Model with Interval Preference Weights: Application to a US-China Trade Dispute
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Nash Stability in a Multi-objective Graph Model with Interval Preference Weights: Application to a US-China Trade Dispute

机译：具有区间偏好权重的多目标图模型中的纳什稳定性：在中美贸易争端中的应用

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摘要

In many real-world conflict situations, decision-makers (DMs) integrate multiple objectives rather than considering just one objective or dimension. A multi-objective graph model (MOGM) is proposed to balance each DM's objectives in both two-DM and multi-DM conflicts. To identify Nash stability in MOGMs, a comprehensive preference matrix with weight parameters on objectives is developed for each DM, along with a unilateral move matrix including preference weights (UMP). Then, considering the subjective uncertainty of DMs, interval numbers are used to represent the degree of uncertainty of preference. Subsequently, Nash equilibria and interval Nash equilibria are developed for MOGMs, and the dependence of these equilibria on weights is shown. To illustrate how MOGM can be applied in practice and provide valuable strategic insights, it is used to investigate a US-China trade dispute model. The stability results suggest potential strategic resolutions of bilateral trade disputes, and how DMs can attain them. The case analysis process suggests that a peaceful settlement of the dispute may be achievable.
机译：在许多现实世界中的冲突局势中，决策者（DM）集成了多个目标，而不仅仅是考虑一个目标或维度。提出了一种多目标图模型（MOGM），以平衡两个DM和多DM冲突中每个DM的目标。为了识别MOGM中的Nash稳定性，针对每个DM开发了一个具有目标权重参数的综合偏好矩阵，以及一个包含偏好权重（UMP）的单边移动矩阵。然后，考虑到决策者的主观不确定性，使用区间数来表示偏好的不确定性程度。随后，为MOGM开发了纳什均衡和区间纳什均衡，并显示了这些均衡对权重的依赖性。为了说明MOGM如何在实践中应用并提供有价值的战略见解，它被用于调查中美贸易争端模型。稳定性结果表明了双边贸易争端的潜在战略解决方案，以及DM如何解决它们。案例分析过程表明，可以实现和平解决争端。

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