The Pareto-optimality of Nash equilibrium in dynamic controlled systems with conflict
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 7, pp. 984-996
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Sufficient conditions are derived for the Pareto-optimality of an equilibrium. A class of positional differential games satisfying these conditions are considered. In other words, equilibria that are unimprovable in the equilibrium set are Pareto-optimal, i.e., unimprovable among all the situations of the game.
@article{ZVMMF_1990_30_7_a1,
author = {M. B. Mamedov},
title = {The {Pareto-optimality} of {Nash} equilibrium in dynamic controlled systems with conflict},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {984--996},
publisher = {mathdoc},
volume = {30},
number = {7},
year = {1990},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_7_a1/}
}
TY - JOUR AU - M. B. Mamedov TI - The Pareto-optimality of Nash equilibrium in dynamic controlled systems with conflict JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 1990 SP - 984 EP - 996 VL - 30 IS - 7 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_7_a1/ LA - ru ID - ZVMMF_1990_30_7_a1 ER -
%0 Journal Article %A M. B. Mamedov %T The Pareto-optimality of Nash equilibrium in dynamic controlled systems with conflict %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 1990 %P 984-996 %V 30 %N 7 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_7_a1/ %G ru %F ZVMMF_1990_30_7_a1
M. B. Mamedov. The Pareto-optimality of Nash equilibrium in dynamic controlled systems with conflict. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 7, pp. 984-996. http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_7_a1/