A differential game with multi-level of hierarchy
type: Item
instance of: scholarly article
title: A differential game with multi-level of hierarchy
zbMATH Open document ID: 0765.90103
DOI: 10.1016/0022-247X(91)90348-4
author: Liping Pan
author: Jiongmin Yong
published in: Journal of Mathematical Analysis and Applications
publication date: 1992-09-27T00:00:00Z
review text: The authors present a closed loop representation of open-loop Stackelberg strategies in a multi-level linear-quadratic game. Uniqueness of the open-loop Stackelberg \(N\)-level equilibrium, and the related Riccati equation is proved. The \(i\)-th player is a leader of the \((i-1)\)-th player, and a follower of the \((i+1)\)-th player.
Mathematics Subject Classification ID: 91A65
Mathematics Subject Classification ID: 91A23
Mathematics Subject Classification ID: 49N10
Mathematics Subject Classification ID: 49N35
Mathematics Subject Classification ID: 49N99
zbMATH DE Number: 57728
zbMATH Keywords: uniqueness
zbMATH Keywords: closed loop representation
zbMATH Keywords: open-loop Stackelberg strategies
zbMATH Keywords: multi-level linear-quaratic game
zbMATH Keywords: Riccati equation
reviewed by: L. F. Pau
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 57728