Stochastic Recursive Zero-Sum Differential Game and Mixed Zero-Sum Differential Game Problem
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-12-25
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
Under the notable Issacs's condition on the Hamiltonian, the existence results of a saddle point are obtained for the stochastic recursive zero-sum differential game and mixed differential game problem, that is, the agents can also decide the optimal stopping time.
The main tools are backward stochastic differential equations (BSDEs) and double-barrier reflected BSDEs.
As the motivation and application background, when loan interest rate is higher than the deposit one, the American game option pricing problem can be formulated to stochastic recursive mixed zero-sum differential game problem.
One example with explicit optimal solution of the saddle point is also given to illustrate the theoretical results.
American Psychological Association (APA)
Wei, Lifeng& Wu, Zhen. 2012. Stochastic Recursive Zero-Sum Differential Game and Mixed Zero-Sum Differential Game Problem. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-1001860
Modern Language Association (MLA)
Wei, Lifeng& Wu, Zhen. Stochastic Recursive Zero-Sum Differential Game and Mixed Zero-Sum Differential Game Problem. Mathematical Problems in Engineering No. 2012 (2012), pp.1-15.
https://search.emarefa.net/detail/BIM-1001860
American Medical Association (AMA)
Wei, Lifeng& Wu, Zhen. Stochastic Recursive Zero-Sum Differential Game and Mixed Zero-Sum Differential Game Problem. Mathematical Problems in Engineering. 2012. Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-1001860
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1001860