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On a Class of Hybrid Differential Games

Author

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  • Dmitry Gromov

    (Saint Petersburg State University)

  • Ekaterina Gromova

    (Saint Petersburg State University)

Abstract

This paper is intended to present a systematic application of the hybrid systems framework to differential games. A special class of bimodal linear-quadratic differential games is presented and illustrated with examples; two particular classes of switching rules, time-dependent and state-dependent switches are discussed. The main contribution of the paper consists in formulating necessary optimality conditions for determining optimal strategies in both cooperative and non-cooperative cases. A practically relevant hybrid differential game of pollution reduction is considered to illustrate the developed framework.

Suggested Citation

  • Dmitry Gromov & Ekaterina Gromova, 2017. "On a Class of Hybrid Differential Games," Dynamic Games and Applications, Springer, vol. 7(2), pages 266-288, June.
    • Handle: RePEc:spr:dyngam:v:7:y:2017:i:2:d:10.1007_s13235-016-0185-3
    DOI: 10.1007/s13235-016-0185-3
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    Cited by:

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    2. Seidl, Andrea, 2019. "Zeno points in optimal control models with endogenous regime switching," Journal of Economic Dynamics and Control, Elsevier, vol. 100(C), pages 353-368.
    3. Sedakov, Artem & Qiao, Han & Wang, Shouyang, 2021. "A model of river pollution as a dynamic game with network externalities," European Journal of Operational Research, Elsevier, vol. 290(3), pages 1136-1153.

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