Sufficient Stochastic maximum principle for the optimal control of jump diffusions and applications to finance

被引：111

作者：

Framstad, NC ^{[1
]}

Oksendal, B

Sulem, A

机构：

[1] Univ Oslo, Dept Math, Oslo, Norway

[2] Norwegian Sch Econ & Business Adm, N-5035 Bergen, Norway

[3] INRIA, Le Chesnay, France

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2004年 / 121卷 / 01期

关键词：

jump diffusions; optimal control; sufficient maximum principle; mean-variance portfolio selection;

D O I：

10.1023/B:JOTA.0000026132.62934.96

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

We give a verification theorem by employing Arrow's generalization of the Mangasarian sufficient condition to a general jump diffusion setting and show the connections of adjoint processes to dynamic programming. The result is applied to financial optimization problems.

引用

页码：77 / 98

页数：22

共 19 条

[1]

[Anonymous], STOCHASTIC CONTROL R

[2]

[Anonymous], ANN APPL PROBAB

[3]

Barles G., 1997, STOCHASTICS STOCHAST, V60, P57

[4]

Bensoussan A., 1983, Stochastics, V9, P169, DOI 10.1080/17442508308833253

[5]

Bensoussan A., 1984, IMPULSE CONTROL QUAS

[6] CONJUGATE CONVEX FUNCTIONS IN OPTIMAL STOCHASTIC CONTROL [J].

BISMUT, JM .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1973, 44 (02) :384-404

[7]

Cadenillas A., 1994, Stoch.: An Int. J. Probab. Stoch. Processes, V49, P211

[8]

Haussmann U.G., 1986, A Stochastic Maximum Principle for Optimal Control of Diffusions

[9] Relationship between backward stochastic differential equations and stochastic controls: A linear-quadratic approach [J].

Kohlmann, M ;

Zhou, XY .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2000, 38 (05) :1392-1407

[10]

Kohlmann M, 1978, P OP RES PHYS WURZB, V7, P48

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