Near Optimality of Quantized Policies in Stochastic Control Under Weak Continuity Conditions

Optimality Of Monetary And Fiscal Policies In Iran: An Application Of The Stochastic Optimal Control Theory

Robustness to incorrect priors in partially observed stochastic control

We study the continuity properties of optimal solutions to stochastic control problems with respect to initial probability measures and applications of these to the robustness of optimal control policies applied to systems with incomplete or incorrect priors. It is shown that for single and multi-stage optimal cost problems, continuity and robustness cannot be established under weak convergence...

Control Theory and Economic Policy Optimization: The Origin, Achievements and the Fading Optimism from a Historical Standpoint

Economists were interested in economic stabilization policies as early as the 1930’s but the formal applications of stability theory from the classical control theory to economic analysis appeared in the early 1950’s when a number of control engineers actively collaborated with economists on economic stability and feedback mechanisms. The theory of optimal control resulting from the contributio...

On the optimality equation for average cost Markov decision processes and its validity for inventory control

As is well known, average-cost optimality inequalities imply the existence of stationary optimal policies for Markov decision processes with average costs per unit time, and these inequalities hold under broad natural conditions. This paper provides sufficient conditions for the validity of the average-cost optimality equation for an infinite state problem with weakly continuous transition prob...

Convex Analysis in Decentralized Stochastic Control, Strategic Measures, and Optimal Solutions

This paper is concerned with the properties of the sets of strategic measures induced by admissible team policies in decentralized stochastic control and the convexity properties in dynamic team problems. To facilitate a convex analytical approach, strategic measures for team problems are introduced. Properties such as convexity, and compactness and Borel measurability under weak convergence to...