MAT Palestras - Teoria da Probabilidade

Stochastic Control and Differential Games with Path-Dependent Controls

Nesta palestra, consideramos a estrutura funcional de cálculo de Itˆo para encontrar uma versão dependente do caminho da equação de Hamilton-Jacobi-Bellman para problemas de controle estocástico com dependência do caminho nos controles.
Yuri Saporito - EMAp FGV em 10/09/2021

Abstract

In this talk we consider the functional Itˆo calculus framework to find a path- dependent version of the Hamilton-Jacobi-Bellman equation for stochastic control prob- lems with path-dependence in the controls. We also prove a Dynamic Programming Principle for such problems. We apply our results to path-dependence of the delay type. We further study Stochastic Differential Games in this context.

Local e Data

Tema: Stochastic Control and Differential Games with Path-Dependent Controls
Palestrante: Yuri Saporito - EMAp FGV
Data: 10/09/2021