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