Stochastic maximum principle for weighted mean-field system
Optimization and Control
2022-08-25 v1 Probability
Abstract
We study the optimal control problem for a weighted mean-field system. A new feature of the control problem is that the coefficients depend on the state process as well as its weighted measure and the control variable. By applying variational technique, we establish a stochastic maximum principle. As an application, we investigate the optimal premium policy of an insurance firm for asset-liability management problem.
Keywords
Cite
@article{arxiv.2208.11679,
title = {Stochastic maximum principle for weighted mean-field system},
author = {Yanyan Tang and Jie Xiong},
journal= {arXiv preprint arXiv:2208.11679},
year = {2022}
}