The compromise principle in many-person differential games
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 20 (2014) no. 1, pp. 148-155
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The concept of compromise set of strategies for a many-person differential game is proposed. The method of its construction in the class of positional strategies is validated. The constructed set of strategies is a compromise set for any initial position from some set in the phase space and possesses the property of dynamic stability. A model example is presented.
Keywords:
compromise set of strategies, Nash equilibrium, differential game, stable bridge, extremal aiming.
@article{TIMM_2014_20_1_a14,
author = {S. V. Lutamanov},
title = {The compromise principle in many-person differential games},
journal = {Trudy Instituta matematiki i mehaniki},
pages = {148--155},
publisher = {mathdoc},
volume = {20},
number = {1},
year = {2014},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TIMM_2014_20_1_a14/}
}
S. V. Lutamanov. The compromise principle in many-person differential games. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 20 (2014) no. 1, pp. 148-155. http://geodesic.mathdoc.fr/item/TIMM_2014_20_1_a14/