Upper and lower probabilistic preferences in the graph model for conflict resolution
Upper and lower probabilistic preferences in the graph model for conflict resolution
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DOI：
10.1016/j.ijar.2018.04.008
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发表时间：
2018-07-01
影响因子：
3.9
通讯作者：
dos Santos, Andrea Maria
中科院分区：
文献类型：
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作者：
Rego, Leandro Chaves;dos Santos, Andrea Maria
我们提出了一个模型，其中决策者可以在可能的冲突场景中使用冲突解决图模型（GMCR）中的上下概率来表达他们的偏好。在这个新模型中，我们提出了八个稳定性定义（解概念），它们是GMCR模型中常用的四个稳定性概念的概括，即：谨慎的α -纳什稳定性，风险的a-纳什稳定性，谨慎(α, β)-元国家性，风险(α, β)-元国家性，谨慎(α, β)-对称元理性，风险(α, β)-对称元理性，谨慎(α, β)-顺序稳定性和风险(α, β, γ)-顺序稳定性。我们对两个或两个以上决策者的冲突以及决策者作为一个联盟的冲突提出了这些定义，并分析了它们之间的关系。我们提出了两种应用，并使用所提出的模型进行稳定性分析，以说明当允许个人具有由上概率和下概率表示的关于自己偏好的不确定性时所获得的收益。(C) 2018爱思唯尔公司版权所有。
We propose a model where decision makers may express their preferences among the possible conflict scenarios using upper and lower probabilities in the graph model for conflict resolution (GMCR). In this new model, we propose eight stability definitions (solution concepts) that are generalizations of the four stability concepts commonly used in the GMCR model, namely: cautious alpha-Nash stability, risky a-Nash stability, cautious (alpha, beta)-metarationality, risky (alpha, beta)-metarationality, cautious (alpha, beta)-symmetric meta rationality, risky (alpha,beta)-symmetric metarationality, cautious (alpha, beta)-sequential stability and risky (alpha, beta, gamma)-sequential stability. We present these definitions for conflicts with two or more decision makers and also for conflicts in which the decision makers act as a coalition and analyze the relationship between them. We present two applications and perform the stability analysis using the proposed model to illustrate the gains obtained when individuals are allowed to have the uncertainty about their own preferences expressed by upper and lower probabilities. (C) 2018 Elsevier Inc. All rights reserved.