Author
Oner, A., Gunel, G. O., Saldı, Naci
Publication Date
2018
Publication Place
-
Ministry Communications & High Technologies Republic Azerbaijan
Subject
Mean field game theory, Stackelberg equilibrium, Hierarchical control, Large scale systems control, Stochastic control, Differential games, Multilayer network control
Type
Periodical
Language
English
Digital
Yes
Manuscript
No
Library
Özyeğin University
Library Asset ID
1683-3511
Record ID
86c8f3ba-697a-4ae7-81c9-5a037ff22ecd
Library Location
Natural and Mathematical Sciences
Date
2018
Notes
TÜBİTAK
Sample Text
In this paper, we study linear-quadratic hierarchical mean field Stackelberg differential games with decentralized adapted open-loop information structure. In this game model, there are three levels of decision making, with a leader at the top level, sub-leaders at the intermediate level, and a large population of followers at lowest level. Accordingly, the leader cannot influence the followers' actions directly, but instead sub-leaders link up followers to the global leader as an intermediate layer. The leader plays a Stackelberg game with the sub-leaders, and the sub-leaders play a Stackelberg game of the mean field type with the followers. The followers are (weakly) coupled through a mean field term, which only affects the followers' individual costs. One of the contributions of this work is to consider the infinite population limit of the finite-follower multi-layer game model. We establish the existence of Stackelberg equilibrium in the limiting case, which is expected to be an approximate Stackelberg equilibrium by the law of large numbers when the population of followers is finite, but sufficiently large. We show the effectiveness of the proposed method through a numerical example.
Cilt
17
