Geodesic
About one differential game model with dynamic updating
Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 11 (2019) no. 2, pp. 40-67

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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. 
@article{MGTA_2019_11_2_a2,
     author = {Ovanes L. Petrosyan and Denis S. Tikhomirov and Ildus I. Kuchkarov and Hongwei Gao},
     title = {About one differential game model with dynamic updating},
     journal = {Matemati\v{c}eska\^a teori\^a igr i e\"e prilo\v{z}eni\^a},
     pages = {40--67},
     publisher = {mathdoc},
     volume = {11},
     number = {2},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MGTA_2019_11_2_a2/}
}
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Ovanes L. Petrosyan; Denis S. Tikhomirov; Ildus I. Kuchkarov; Hongwei Gao. About one differential game model with dynamic updating. Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 11 (2019) no. 2, pp. 40-67. http://geodesic.mathdoc.fr/item/MGTA_2019_11_2_a2/