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About One Differential Game Model with Dynamic Updating

  • mathematical game theory and applications
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Abstract

Differential game model of limited resource extraction with dynamic updating is studied in the paper. The class of games with dynamic updating is new in the theory of differential games. Cooperative setting of limited resource extraction with dynamic updating is considered. Optimal strategies, cooperative payoff, characteristic function and allocation rule for cooperative payoff between the players are derived in an explicit form. As an optimality principle or cooperative solution Shapley value is used. Results of numerical simulation in the Python environment are demonstrated.

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Authors and Affiliations

  1. School of Automation, Qingdao University, Qingdao, China

    O. L. Petrosian

  2. Saint Petersburg State University, St. Petersburg, Russia

    O. L. Petrosian & I. I. Kuchkarov

  3. National Research University “High School of Economics,”, St. Petersburg, Russia

    D. S. Tikhomirov

  4. School of Mathematics and Statistics, Qingdao University, Qingdao, China

    H. Gao

Authors
  1. O. L. Petrosian
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  2. D. S. Tikhomirov
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  3. I. I. Kuchkarov
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  4. H. Gao
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Petrosian, O., Tikhomirov, D., Kuchkarov, I. et al. About One Differential Game Model with Dynamic Updating. Autom Remote Control 81, 1733–1750 (2020). https://doi.org/10.1134/S0005117920090131

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  • DOI: https://doi.org/10.1134/S0005117920090131

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