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非-Lipschitz条件下随机微分效用 被引量:3

Stochastic Differential Utility under Non Lipschitz Conditions
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摘要 研究了由Duffie 和Epstein 等创立的随机微分效用理论.在非-Lipschitz条件下,讨论了随机微分效用的存在性和唯一性以及效用过程的时间相容性,并对消费的单调性、对终值的单调性和风险厌恶及凹性进行了讨论. The theory of stochastic differential utility by view point of backward stochastic differential equation (BSDE) is studied. By using BSDE techniques, sufficient conditions for existence, uniqueness, time consistency, monotonicity, risk aversion and concavity are given under non Lipschitz assumptions.
出处 《华中理工大学学报》 CSCD 北大核心 1999年第11期101-103,共3页 Journal of Huazhong University of Science and Technology
基金 国家自然科学基金
关键词 随机微分方程 随机微分效用 非李普希兹条件 backward stochastic differential equation recursive utility stochastic differential utility utility function
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参考文献2

  • 1郑明礼.资产定价理论与递归效用(博士学位论文)[M].武汉:华中理工大学数学系,1996..
  • 2郑明礼,博士学位论文,1996年

同被引文献12

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  • 2Briand P,Coquet F,Hu Ying,et al.A converse comparison theorem for BSDEs and related properties of g-expection[J].Elect Com Probab,2000,5:101-117.
  • 3Coquet F,Hu Ying,Memin J,et al.Filtration-consistent nonlinear expectations and related g-expectations[J].Probab Theory Related Fields,2002,123(1):1-27.
  • 4Chen Zengjing,Peng Shige.Continuous properties of g-martingales[J].Chin Ann of Math,2001,22B(1):115-128.
  • 5Chen Zengjing,Epstein L.Ambiguity,risk,and asset returns in continuous time[J].Econometrica,2002,70(4):1403-1443.
  • 6Duffie D,Epstein L G.Stochastic differential utility[J].Eeonometrica,1992,60(2):353-394.
  • 7Pardoux E,Peng S.Backward doubly stochastic differential equations and systems of quasilinear parabolic SPDE's[J].Probab Theory Related Fields,1994,98(2):209-227.
  • 8Shi Y,Gu Y,LiU K.Comparison theorem of backward doubly stochastic differential equations and applications[J].Stochastic Analysis and Applications,2005,23(1):1-14.
  • 9Duffie D,Epstein L G.Stochastic differential utility[J]. Econometrica, 1992,60(2) : 353-394.
  • 10Pardoux E,Peng S.Backward doubly stochastic differential equations and systems of quasilinear parabolic SPDE's [J]. Probab Theory R.elated Fields, 1994,98(2) : 209-227.

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