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Existence and uniqueness of a Nash equilibrium feedback for a simple nonzero-sum differential game

Author

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  • Pierre Cardaliaguet
  • Slawomir Plaskacz

Abstract

Existence and uniqueness of a Nash equilibrium feedback is established for a simple class nonzero-sum differential games on the line. Copyright Springer-Verlag 2003

Suggested Citation

  • Pierre Cardaliaguet & Slawomir Plaskacz, 2003. "Existence and uniqueness of a Nash equilibrium feedback for a simple nonzero-sum differential game," International Journal of Game Theory, Springer;Game Theory Society, vol. 32(1), pages 33-71, December.
    • Handle: RePEc:spr:jogath:v:32:y:2003:i:1:p:33-71
    DOI: 10.1007/s001820300152
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    Citations

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    Cited by:

    1. Paola Mannucci, 2014. "Nash Points for Nonzero-Sum Stochastic Differential Games with Separate Hamiltonians," Dynamic Games and Applications, Springer, vol. 4(3), pages 329-344, September.
    2. R. Buckdahn & P. Cardaliaguet & M. Quincampoix, 2011. "Some Recent Aspects of Differential Game Theory," Dynamic Games and Applications, Springer, vol. 1(1), pages 74-114, March.
    3. Ekaterina Viktorovna Gromova & José Daniel López-Barrientos, 2016. "A Differential Game Model for The Extraction of Nonrenewable Resources with Random Initial Times — The Cooperative and Competitive Cases," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 18(02), pages 1-19, June.
    4. Hamadène, Said & Mu, Rui, 2020. "Discontinuous Nash equilibrium points for nonzero-sum stochastic differential games," Stochastic Processes and their Applications, Elsevier, vol. 130(11), pages 6901-6926.

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