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

Jacob Engwerda (), Y. Salmah and .E. Wijayanti
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.E. Wijayanti: Tilburg University, Center for Economic Research

No 2009-1, Discussion Paper from Tilburg University, Center for Economic Research

Abstract: 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.

JEL-codes: C61 C72 C73 (search for similar items in EconPapers)
Date: 2009
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Persistent link: http://EconPapers.repec.org/RePEc:dgr:kubcen:20091

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