Strong Time-Consistent Subset of the Core in Cooperative Differential Games with Finite Time Horizon
- Authors: Petrosian O.L.1, Gromova E.V.1, Pogozhev S.V.1
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Affiliations:
- St. Petersburg State University
- Issue: Vol 79, No 10 (2018)
- Pages: 1912-1928
- Section: Mathematical Game Theory and Applications
- URL: https://ogarev-online.ru/0005-1179/article/view/151059
- DOI: https://doi.org/10.1134/S0005117918100144
- ID: 151059
Cite item
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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