English

On the informational structure in optimal dynamic stochastic control

Probability 2018-05-16 v3

Abstract

We formulate a very general framework for optimal dynamic stochastic control problems which allows for a control-dependent informational structure. The issue of informational consistency is investigated. Bellman's principle is formulated and proved. In a series of related results, we expound on the informational structure in the context of (completed) natural filtrations of stochastic processes.

Keywords

Cite

@article{arxiv.1503.02375,
  title  = {On the informational structure in optimal dynamic stochastic control},
  author = {Saul Jacka and Matija Vidmar},
  journal= {arXiv preprint arXiv:1503.02375},
  year   = {2018}
}

Comments

43 pages

R2 v1 2026-06-22T08:47:13.668Z