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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Xi-Ren Cao Xiangwei Wan |
| Copyright Year | 2012 |
| Description | Author affiliation: Department of Finance, Antai College of Economics and Management, Shanghai Jiao Tong University and the Department of Automation, Shanghai Jiao Tong University, 535 Fahua Zhen Road, 200052, China (Xi-Ren Cao) || Department of Finance, Antai College of Economics and Management, Shanghai Jiao Tong University, 535 Fahua Zhen Road, 200052, China (Xiangwei Wan) |
| Abstract | One of the important issues in behavioral analysis is that the law of iterated expectation is lost due to the distortion in performance probability. The standard dynamic programming fails to work in this area. In this paper, we propose to use an alternative approach, the sensitivity-based approach, to solve the portfolio management problem in an environment with probability distortion. We show that after changing the underlying probability measure the distorted performance maintains some linearity, and the derivative of the distorted performance is simply the expectation of the sample path based derivative of the performance under this new measure, which can be obtained by perturbation analysis. We also provide simulation algorithms for the derivative of distorted performance. We apply this approach to the initial allocation problem with the distorted performance probability and obtained an optimal policy. We expect that this approach is applicable to other problems in the area of optimization in behavioral analysis. |
| Starting Page | 849 |
| Ending Page | 854 |
| File Size | 272860 |
| Page Count | 6 |
| File Format | |
| ISBN | 9781467320658 |
| ISSN | 07431546 |
| e-ISBN | 9781467320665 |
| e-ISBN | 9781467320641 |
| DOI | 10.1109/CDC.2012.6426898 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2012-12-10 |
| Publisher Place | USA |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Nonlinear distortion Portfolios Optimization Distortion measurement Random variables Dynamic programming Resource management Sensitivity-based optimization Behavioral finance Portfolio management Perturbation analysis |
| Content Type | Text |
| Resource Type | Article |
| Subject | Control and Optimization Control and Systems Engineering Modeling and Simulation |
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