RUS  ENG
Full version
JOURNALS // Matematicheskaya Teoriya Igr i Ee Prilozheniya // Archive

Mat. Teor. Igr Pril., 2020 Volume 12, Issue 2, Pages 82–109 (Mi mgta260)

Cooperative differential game model with continuous updating

Ovanes L. Petrosianab, Anna V. Tura, Zeyang Wanga, Hongwei Gaob

a Saint Petersburg State University
b Qingdao University

Abstract: The paper considers and describes the class of cooperative differential games with continuous updating. Such a class of differential games is new, at the moment only the class noncooperative game models with continuous updating have been studied. This paper describes the process of constructing cooperative strategies, cooperative trajectory, characteristic function and cooperative solution with continuous updating. Cooperative case of limited resource extraction game model with continuous updating is considered. Optimal strategies, characteristic function and cooperative solution are constructed. The Shapley vector is used as a cooperative solution. The numerical simulation results are demonstrated in the Matlab environment.

Keywords: differential games, continuous updating.

UDC: 517.977.8
BBK: 22.17

Received: 25.12.2019
Revised: 17.05.2020
Accepted: 25.06.2020



© Steklov Math. Inst. of RAS, 2024