The Open-Loop Discounted Linear Quadratic Differential Game for Regular Higher Order Index Descriptor Systems

In this paper we consider the discounted linear quadratic differential game for descriptor systems that have an index larger than one. We derive both necessary and sufficient conditions for existence of an open-loop Nash (OLN) equilibrium. In a small macro-economic stabilization game we illustrate that the corresponding optimal response is generically cyclic.

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Year of publication:	2009
Authors:	Engwerda, Jacob ; Salmah, Y. ; Wijayanti, I.E.
Institutions:	Tilburg University, Center for Economic Research
Subject:	linear quadratic differential games \| open-loop information structure \| descriptor systems

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Extent:	application/pdf
Series:	Discussion Paper.
Type of publication:	Book / Working Paper
Notes:	The text is part of a series CentER Discussion Paper Number 2009-1
Classification:	C61 - Optimization Techniques; Programming Models; Dynamic Analysis ; C72 - Noncooperative Games ; C73 - Stochastic and Dynamic Games
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10011090887