BSDEs and risk-sensitive control, zero-sum and nonzero-sum game problems of stochastic functional differential equations
We deal with the risk-sensitive control, zero-sum and nonzero-sum game problems of stochastic functional differential equations. Using backward stochastic differential equations we show the existence of an optimal control and, a saddle-point and an equilibrium point for respectively the zero-sum and nonzero-sum games.
| Year of publication: |
2003
|
|---|---|
| Authors: | El-Karoui, N. ; Hamadène, S. |
| Published in: |
Stochastic Processes and their Applications. - Elsevier, ISSN 0304-4149. - Vol. 107.2003, 1, p. 145-169
|
| Publisher: |
Elsevier |
| Keywords: | Backward SDEs Risk-sensitive control Zero-sum game Nonzero-sum game Optimal control Saddle point Equilibrium point |
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