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Krasovskii–Subbotin Approach to Mean Field Type Differential Games

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  • Yurii Averboukh

    (Krasovskii Institute of Mathematics and Mechanics UrB RAS
    Ural Federal University)

Abstract

A mean field type differential game is a mathematical model of a large system of identical agents under mean field interaction controlled by two players with opposite purposes. We study the case when the dynamics of each agent is given by ODE and the players can observe the distribution of the agents. We construct suboptimal strategies and prove the existence of the value function.

Suggested Citation

  • Yurii Averboukh, 2019. "Krasovskii–Subbotin Approach to Mean Field Type Differential Games," Dynamic Games and Applications, Springer, vol. 9(3), pages 573-593, September.
    • Handle: RePEc:spr:dyngam:v:9:y:2019:i:3:d:10.1007_s13235-018-0282-6
    DOI: 10.1007/s13235-018-0282-6
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    References listed on IDEAS

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    1. P. Cardaliaguet & M. Quincampoix, 2008. "Deterministic Differential Games Under Probability Knowledge Of Initial Condition," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 10(01), pages 1-16.
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    Cited by:

    1. Olga Yufereva, 2022. "Approximate Capture in Gromov–Hausdorff Close Spaces," Dynamic Games and Applications, Springer, vol. 12(4), pages 1376-1387, December.
    2. Yurii Averboukh & Antonio Marigonda & Marc Quincampoix, 2021. "Extremal Shift Rule and Viability Property for Mean Field-Type Control Systems," Journal of Optimization Theory and Applications, Springer, vol. 189(1), pages 244-270, April.

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