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 Tools annual

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 monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

Our purpose of this paper is to study stochastic control problem for systemsdriven by mean-field stochastic differential equations with elephant memory, inthe sense that the system (like the elephants) never forgets its history. Westudy both the finite horizon case and the infinite time horizon case.  - In the finite horizon case, results about existence and uniqueness ofsolutions of such a system are given. Moreover, we prove sufficient as well asnecessary stochastic maximum principles for the optimal control of suchsystems. We apply our results to solve a mean-field linear quadratic controlproblem.  - For infinite horizon, we derive sufficient and necessary maximumprinciples.  As an illustration, we solve an optimal consumption problem from a cash flowmodelled by an elephant memory mean-field system.

Mean-Field Stochastic Control with Elephant Memory in Finite and Infinite Time Horizon