On the informational structure in optimal dynamic stochastic control

Saul Jacka; Matija Vidmar

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arXiv · 1503.02375

On the informational structure in optimal dynamic stochastic control

Saul Jacka·Matija Vidmar

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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.

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Saul Jacka, Matija Vidmar. 2018-05-15. On the informational structure in optimal dynamic stochastic control. https://arxiv.org/abs/1503.02375

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