There is no known nonlinear Markov perfect equilibrium strategies for the infinite horizon linear quadratic differential game

We discuss published accounts of nonlinear equilibrium strategies in linear quadratic differential games. The main reference: Tsutsui-Mino 1990, is shown to be misleading. •The article of Tsutsui and Mino (1990) does not provide equilibrium strategies for an infinite horizon linear quadratic differe...

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Bibliographic Details
Published in:Journal of economic theory Vol. 222; p. 105927
Main Author: Bernhard, Pierre
Format: Journal Article
Language:English
Published: Elsevier Inc 01-12-2024
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Summary:We discuss published accounts of nonlinear equilibrium strategies in linear quadratic differential games. The main reference: Tsutsui-Mino 1990, is shown to be misleading. •The article of Tsutsui and Mino (1990) does not provide equilibrium strategies for an infinite horizon linear quadratic differential game.•The games actually solved in that article do not seem to have any economic relevance.•The approach of “feasible strategies” of Dockner et al. (2000), long known as Blaquière's “playable strategies”, is not a practical concept concerning economic applications.
ISSN:0022-0531
DOI:10.1016/j.jet.2024.105927