Geodesic
Mathematical foundations of the Golden Rule. II. Dynamic variant
Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 8 (2016) no. 1, pp. 27-62

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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. 
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     author = {Vladislav I. Zhukovskiy and Lidiya V. Smirnova and Anton S. Gorbatov},
     title = {Mathematical foundations of the {Golden} {Rule.} {II.} {Dynamic} variant},
     journal = {Matemati\v{c}eska\^a teori\^a igr i e\"e prilo\v{z}eni\^a},
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     publisher = {mathdoc},
     volume = {8},
     number = {1},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MGTA_2016_8_1_a2/}
}
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Vladislav I. Zhukovskiy; Lidiya V. Smirnova; Anton S. Gorbatov. Mathematical foundations of the Golden Rule. II. Dynamic variant. Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 8 (2016) no. 1, pp. 27-62. http://geodesic.mathdoc.fr/item/MGTA_2016_8_1_a2/