English

Limited Attention Allocation in a Stochastic Linear Quadratic System with Multiplicative Noise

Optimization and Control 2024-03-28 v1 Mathematical Finance

Abstract

This study addresses limited attention allocation in a stochastic linear quadratic system with multiplicative noise. Our approach enables strategic resource allocation to enhance noise estimation and improve control decisions. We provide analytical optimal control and propose a numerical method for optimal attention allocation. Additionally, we apply our ffndings to dynamic mean-variance portfolio selection, showing effective resource allocation across time periods and factors, providing valuable insights for investors.

Keywords

Cite

@article{arxiv.2403.18528,
  title  = {Limited Attention Allocation in a Stochastic Linear Quadratic System with Multiplicative Noise},
  author = {Xiangyu Cui and Jianjun Gao and Lingjie Kong},
  journal= {arXiv preprint arXiv:2403.18528},
  year   = {2024}
}