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

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  • Bernhard, Pierre

Abstract

We discuss published accounts of nonlinear equilibrium strategies in linear quadratic differential games. The main reference: Tsutsui-Mino 1990, is shown to be misleading.

Suggested Citation

  • Bernhard, Pierre, 2024. "There is no known nonlinear Markov perfect equilibrium strategies for the infinite horizon linear quadratic differential game," Journal of Economic Theory, Elsevier, vol. 222(C).
    • Handle: RePEc:eee:jetheo:v:222:y:2024:i:c:s0022053124001339
    DOI: 10.1016/j.jet.2024.105927
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    References listed on IDEAS

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    1. Tsutsui, Shunichi & Mino, Kazuo, 1990. "Nonlinear strategies in dynamic duopolistic competition with sticky prices," Journal of Economic Theory, Elsevier, vol. 52(1), pages 136-161, October.
    2. Dockner,Engelbert J. & Jorgensen,Steffen & Long,Ngo Van & Sorger,Gerhard, 2000. "Differential Games in Economics and Management Science," Cambridge Books, Cambridge University Press, number 9780521637329, June.
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