المؤلف
Oner, A., Gunel, G. O., Saldı, Naci
تاريخ النشر
2018
مكان النشر
-
Ministry Communications & High Technologies Republic Azerbaijan
الموضوع
Mean field game theory, Stackelberg equilibrium, Hierarchical control, Large scale systems control, Stochastic control, Differential games, Multilayer network control
النوع
دورية
اللغة
الإنجليزية
رقمي
نعم
مخطوط
لا
المكتبة
جامعة اوزيجين
معرف أصل المكتبة
1683-3511
رقم السجل
86c8f3ba-697a-4ae7-81c9-5a037ff22ecd
موقع المكتبة
Natural and Mathematical Sciences
التاريخ
2018
ملاحظات
TÜBİTAK
نص عينة
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
