Research Communication | Open Access
Volume 2021 | Communication ID 251
Volume 2021 | Communication ID 251
| Mean-Field Type Control of Electricity Price Dynamics in Hierarchical Structure |
Zahrate El Oula Frihi
Received |
Accepted |
Published |
January 31, 2021 |
February 15, 2021 |
March 15, 2021 |
Abstract: In this communication, we present a class of hierarchical mean field-type games control problem we consider that the market of electricity consists of the following leader-follower order: given n−1 prosumers and one producer, the ith prosumer is a leader of the (i -1)th prosumer and is a follower of the (i+1)th prosumer, for i < n. The nth agent (the producer) is the leader at the top level and the 1st prosumer is the follower at the bottom level. The problem is described by a linear jump-diffusion system of a conditional mean-field type where the conditioning is with respect to common ...