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Your search keyword '"Privault, Nicolas"' showing total 2 results
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2. Characterization of stochastic equilibrium controls by the Malliavin calculus.

Author

Nguwi, Jiang Yu and Privault, Nicolas

Subjects
*MALLIAVIN calculus, *THERMODYNAMIC control, *STOCHASTIC differential equations
Abstract

We derive a characterization of equilibrium controls in continuous-time, time-inconsistent control (TIC) problems using the Malliavin calculus. For this, the classical duality analysis of adjoint BSDEs is replaced with the Malliavin integration by parts. This results into a necessary and sufficient maximum principle which is applied to a linear-quadratic TIC problem, recovering previous results obtained by duality analysis in the mean-variance case, and extending them to the linear-quadratic setting. We also show that our results apply beyond the linear-quadratic case by treating the generalized Merton problem. [ABSTRACT FROM AUTHOR]

Published
2022
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