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JOURNALS // Matematicheskaya Teoriya Igr i Ee Prilozheniya // Archive

Mat. Teor. Igr Pril., 2016 Volume 8, Issue 1, Pages 27–62 (Mi mgta173)

This article is cited in 2 papers

Mathematical foundations of the Golden Rule. II. Dynamic variant

Vladislav I. Zhukovskiya, Lidiya V. Smirnovab, Anton S. Gorbatova

a Moscow State University
b Moscow State University of Technologies and Management named after Rasumovskiy

Abstract: The attempt of research extension of static variant of the Golden Rule into dynamic one is made in this article. The main point is the application of Germeier convolution of payoffs functions of players, the theory of antagonistic positional differential games in quasi motions and control with the help of guide.

Keywords: non-cooperative games, positional strategy, saddle point, Berge equilibrium.

UDC: 519.833
BBK: 91 АД; 49 К 35



© Steklov Math. Inst. of RAS, 2024