Maximum principle for mean-field jump-diffusion stochastic delay differential equations and its application to finance

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dc.contributor.authorShen, Y.
dc.contributor.authorMeng, Q.
dc.contributor.authorShi, P.
dc.date.issued2014
dc.description.abstractThis paper investigates a stochastic optimal control problem with delay and of mean-field type, where the controlled state process is governed by a mean-field jump-diffusion stochastic delay differential equation. Two sufficient maximum principles and one necessary maximum principle are established for the underlying system. As an application, a bicriteria mean-variance portfolio selection problem with delay is studied to demonstrate the effectiveness and potential of the proposed techniques. Under certain conditions, explicit expressions are provided for the efficient portfolio and the efficient frontier, which are as elegant as those in the classical mean-variance problem without delays. © 2014 Elsevier Ltd. All rights reserved.
dc.description.statementofresponsibilityYang Shen, Qingxin Meng, Peng Shi
dc.identifier.citationAutomatica, 2014; 50(6):1565-1579
dc.identifier.doi10.1016/j.automatica.2014.03.021
dc.identifier.issn0005-1098
dc.identifier.issn1873-2836
dc.identifier.orcidShi, P. [0000-0001-6295-0405] [0000-0001-8218-586X] [0000-0002-0864-552X] [0000-0002-1358-2367] [0000-0002-5312-5435]
dc.identifier.urihttp://hdl.handle.net/2440/84466
dc.language.isoen
dc.publisherPergamon-Elsevier Science
dc.relation.granthttp://purl.org/au-research/grants/arc/2011CB710706
dc.rights© 2014 Elsevier Ltd. All rights reserved.
dc.source.urihttps://doi.org/10.1016/j.automatica.2014.03.021
dc.subjectStochastic maximum principle; Mean-field model; Stochastic delay differential equation; Backward stochastic differential equation; Mean–variance portfolio selection
dc.titleMaximum principle for mean-field jump-diffusion stochastic delay differential equations and its application to finance
dc.typeJournal article
pubs.publication-statusPublished

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