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Mathematical Foundations of the Golden Rule. II. Dynamic Case

  • Mathematical Game Theory and Applications
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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.

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References

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Authors and Affiliations

  1. Moscow State University, Moscow, Russia

    V. I. Zhukovskiy & A. S. Gorbatov

  2. Razumovsky State University of Technologies and Management (the First Cossack University), Moscow, Russia

    L. V. Smirnova

Authors
  1. V. I. Zhukovskiy
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  2. L. V. Smirnova
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  3. A. S. Gorbatov
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Corresponding author

Correspondence to V. I. Zhukovskiy.

Additional information

Original Russian Text © V.I. Zhukovskiy, L.V. Smirnova, A.S. Gorbatov, 2016, published in Matematicheskaya Teoriya Igr i Ee Prilozheniya, 2016, No. 1, pp. 27–62.

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Zhukovskiy, V.I., Smirnova, L.V. & Gorbatov, A.S. Mathematical Foundations of the Golden Rule. II. Dynamic Case. Autom Remote Control 79, 1929–1952 (2018). https://doi.org/10.1134/S0005117918100156

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  • DOI: https://doi.org/10.1134/S0005117918100156

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