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对偶效用理论在保险中的应用 被引量:7

The Applications of Dual Utility Theory in Insurance
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摘要 运用对偶效用理论分析了两个经典的保险经济学问题 ,一是解释了比例保险中买全额保险是否最优的问题 ,这个问题用传统期望效用理论的方法分析将得到与实际相矛盾的结果 ;另一个是超额损失保险问题 ,给出了在各种保费原则下的最优免赔额的分析结果 . Two classical problems in insurance are investigated. The first is whether full insurance is optimal in proportional insurance. The other is the optimal free claims in excess of loss insurance. More realistic interpretations about the problems can be gotten by using the dual utility theory proposed by Yaari(1987) than by using expected utility theory.
作者 毛泽春
出处 《山东大学学报(理学版)》 CAS CSCD 北大核心 2003年第1期9-13,共5页 Journal of Shandong University(Natural Science)
基金 高等学校博士点专项基金项目
关键词 对偶效用 比例保险 超额损失保险 dual utility proportional insurance excess of loss insurance
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参考文献8

  • 1Borch K H.The Utility Concept Applied to the Theory of Insurance[J].ASTIN Bulletin,1961,1:170-191.
  • 2Yaari M E.The Dual Theory of Choice under Risk[J].Eeonometrica,1987,55:95-115.
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同被引文献34

  • 1毛泽春,王乃静.对偶效用下的保费原理与保险公司再保险需求[J].数量经济技术经济研究,2005,22(4):100-106. 被引量:2
  • 2汉斯U 盖伯.数学风险论导引[M].世界图书出版社,1997..
  • 3Yarri, M. E., "The dual theory of choice under risk", Econometrica [J]. 1987, (55): 95- 115.
  • 4Wang, S., "Premium calculation by transforming the layer premium density" [J]. ASTIN Bulletin, 1996, (26) : 71 -92.
  • 5Wang, S., "Young V., Risk - Adjusted Credibility Premium Using Distorted Probability" [J]. Scand Actuarial Journal, 1998, (2) : 143- 165.
  • 6Dhaene J., Dentfit M., Goovaerts J., Kass R., Vyncke D. : "The concept of comonotonicity in actuarial science and finance: theory" [J].Insurance: Mathematics and Economics, 2002, (31) : 3 - 33.
  • 7Dhaene J., Denuit, M., Goovaerts J., Kass, R., Vyncke D., "The concept of comonotonicity in actuarial science and finance: applications" [J]. Insurance: Mathematics and Economics, 2002, (31): 133-161.
  • 8简·菲利普·鲍查德 马克·波特著 周为群译.《金融风险理论》[M].经济科学出版社,2002..
  • 9Boreh, K., The utility concept applied to the theory of insurance [J], ASTIN Bulletin, 1961, 1(170--191).
  • 10Wang, S., Insurance Pricing And Increased Limits Ratemaking By Proportional Hazards Transforms[J], Insurance. Mathematics and Economics, 1995, 17 (43--54).

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