Stochastic global maximum principle for optimization with recursive utilities

By Mingshang Hu. 2017

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In this paper, we study the recursive stochastic optimal control problems. The control domain does not need to be convex, and the generator of the backward stochastic differential equation can contain z. We obtain the variational equations for backward stochastic differential equations, and then obtain the maximum principle which solves completely Peng’s open problem.

Subfields: Demography, Finance, Management Science and Operations Research

View Paper: https://www.semanticscholar.org/paper/78c95164115112dbcfaf5fa4f379e7d9946d548d