English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

This paper concerns discrete-time infinite-horizon stochastic control systemswith Borel state and action spaces and universally measurable policies. Westudy optimization problems on strategic measures induced by the policies inthese systems. The results are then applied to risk-neutral and risk-sensitiveMarkov decision processes, as well as their partially observable counterparts,to establish the measurability of the optimal value functions and the existenceof universally measurable, randomized or nonrandomized, $\epsilon$-optimalpolicies, for a variety of average cost criteria and risk criteria. We alsoextend our analysis to a class of minimax control problems and establishsimilar optimality results under the axiom of analytic determinacy.

On Strategic Measures and Optimality Properties in Discrete-Time Stochastic Control with Universally Measurable Policies