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一种基于模糊性理论的最优保险决策模型
引用本文:朱佳兵,王秋庭. 一种基于模糊性理论的最优保险决策模型[J]. 武汉科技大学学报, 2014, 37(5): 397-400
作者姓名:朱佳兵  王秋庭
作者单位:武汉科技大学理学院,湖北 武汉,430065;武汉科技大学理学院,湖北 武汉,430065
摘    要:沿用Gilboa和Schmeidler等学者分析模糊性问题的方法,定义一扩展状态空间上的概率测度,以描述保险市场中存在的模糊性。针对一种特殊均衡性保险市场——保险人为风险中性,投保人为风险厌恶,研究两者面临相同模糊性程度下的最优保险问题。结果表明,该市场条件下,投保人购买足额保险为最优决策。

关 键 词:模糊性理论  扩展状态空间  均衡保险市场  最优保险决策
收稿时间:2014-04-01

A model for optimal insurance strategy based on ambiguity theory
Zhu Jiabing and Wang Qiuting. A model for optimal insurance strategy based on ambiguity theory[J]. Journal of Wuhan University of Science and Technology, 2014, 37(5): 397-400
Authors:Zhu Jiabing and Wang Qiuting
Affiliation:College of Science, Wuhan University of Science and Technology, Wuhan 430065, China;College of Science, Wuhan University of Science and Technology, Wuhan 430065, China
Abstract:Following Gilboa and Schmeidler (1989), this paper extends theses analyses to an equilibrium insurance market with a risk-neutral insurer and a risk-averse insured who have identical ambiguity degree. Ambiguity is described through a probability measure on an extended state space that includes extra ambiguous states. We show that, full coverage is optimal in the presence of ambiguity.
Keywords:ambiguity theory   extended state space   equilibrium insurance market   optimal insurance strategy
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