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Stackelberg Solutions of Differential Games in the Class of Nonanticipative Strategies

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Abstract

The reverse Stackelberg solution of a two-person nonzero-sum differential game is considered. We assume that the leader plays in the class of nonanticipative strategies. The main result is the description of the Stackelberg solutions via an auxiliary zero-sum differential game. The case when the leader’s strategies depend on the actual control of the follower is compared with the case when the leader uses nonanticipative strategies.

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Authors and Affiliations

  1. Institute of Mathematics and Mechanics UrB RAS, 16, Kovalevskoy str., Ekaterinburg, 620990, Russia

    Yurii Averboukh & Artem Baklanov

  2. Ural Federal University, 19 Mira str., Ekaterinburg, 620002, Russia

    Yurii Averboukh & Artem Baklanov

Authors
  1. Yurii Averboukh
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  2. Artem Baklanov
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Correspondence to Yurii Averboukh.

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Averboukh, Y., Baklanov, A. Stackelberg Solutions of Differential Games in the Class of Nonanticipative Strategies. Dyn Games Appl 4, 1–9 (2014). https://doi.org/10.1007/s13235-013-0077-8

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  • DOI: https://doi.org/10.1007/s13235-013-0077-8

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