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Mat. Teor. Igr Pril., 2019, Volume 11, Issue 2, Pages 40–67 (Mi mgta235)  

About one differential game model with dynamic updating

Ovanes L. Petrosyanab, Denis S. Tikhomirovc, Ildus I. Kuchkarova, Hongwei Gaob

a Saint Petersburg State University
b Qingdao University
c National Research University "High School of Economics"

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.

Keywords: differential games, looking forward approach, dynamic updating, continuous updating, cooperative strategies, feedback Nash equilibrium.

Funding Agency Grant Number
Russian Science Foundation 18-71-00081


Full text: PDF file (1352 kB)
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UDC: 519.83
BBK: 22.18
Received: 09.12.2018
Revised: 29.03.2019
Accepted:10.06.2019

Citation: Ovanes L. Petrosyan, Denis S. Tikhomirov, Ildus I. Kuchkarov, Hongwei Gao, “About one differential game model with dynamic updating”, Mat. Teor. Igr Pril., 11:2 (2019), 40–67

Citation in format AMSBIB
\Bibitem{PetTikKuc19}
\by Ovanes~L.~Petrosyan, Denis~S.~Tikhomirov, Ildus~I.~Kuchkarov, Hongwei~Gao
\paper About one differential game model with dynamic updating
\jour Mat. Teor. Igr Pril.
\yr 2019
\vol 11
\issue 2
\pages 40--67
\mathnet{http://mi.mathnet.ru/mgta235}


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