Email this article Mathematical Foundations of the Golden Rule. II. Dynamic Case
- Authors: Zhukovskiy V.I.1, Smirnova L.V.2, Gorbatov A.S.1
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Affiliations:
- Moscow State University
- Razumovsky State University of Technologies and Management (the First Cossack University)
- Issue: Vol 79, No 10 (2018)
- Pages: 1929-1952
- Section: Mathematical Game Theory and Applications
- URL: https://journals.rcsi.science/0005-1179/article/view/151060
- DOI: https://doi.org/10.1134/S0005117918100156
- ID: 151060
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Abstract
This paper extends the earlier research of the Golden Rule in the static case [2] to the dynamic one. The main idea is to use the Germeier convolution of the payoff functions of players within the framework of antagonistic positional differential games in quasi motions and guiding control.
About the authors
V. I. Zhukovskiy
Moscow State University
Author for correspondence.
Email: zhkvlad@yandex.ru
Russian Federation, Moscow
L. V. Smirnova
Razumovsky State University of Technologies and Management (the First Cossack University)
Email: zhkvlad@yandex.ru
Russian Federation, Moscow
A. S. Gorbatov
Moscow State University
Email: zhkvlad@yandex.ru
Russian Federation, Moscow
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