Strong Time-Consistent Subset of the Core in Cooperative Differential Games with Finite Time Horizon


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Abstract

Time consistency is one of the most important properties of solutions in cooperative differential games. This paper uses the core as a cooperative solution of the game. We design a strong time-consistent subset of the core. The design method of this subset is based on a special class of imputation distribution procedures (IDPs).

About the authors

O. L. Petrosian

St. Petersburg State University

Author for correspondence.
Email: petrosian.ovanes@yandex.ru
Russian Federation, St. Petersburg

E. V. Gromova

St. Petersburg State University

Email: petrosian.ovanes@yandex.ru
Russian Federation, St. Petersburg

S. V. Pogozhev

St. Petersburg State University

Email: petrosian.ovanes@yandex.ru
Russian Federation, St. Petersburg

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