Geodesic
Pareto-equilibrium strategy profile
Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 7 (2015) no. 1, pp. 74-91

Voir la notice de l'article provenant de la source Math-Net.Ru

In the article the strategy profiles that are the Pareto-optimal the Nash equilibriums are considered. Sufficient conditions for existence of the equilibrium for the pure strategies are found. These conditions use the Germier convolutions of the utility functions. For non-cooperative games with compact strategy sets and with continuous utility functions existence of the Pareto-optimal Nash equilibriums in mixed strategies is proved.
Keywords: non-cooperative game, mixed strategies, Nash equilibrium, Pareto optimums. 
@article{MGTA_2015_7_1_a4,
     author = {Vladislav I. Zhukovskiy and Konstantin N. Kudryavtsev},
     title = {Pareto-equilibrium strategy profile},
     journal = {Matemati\v{c}eska\^a teori\^a igr i e\"e prilo\v{z}eni\^a},
     pages = {74--91},
     publisher = {mathdoc},
     volume = {7},
     number = {1},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MGTA_2015_7_1_a4/}
}
TY  - JOUR
AU  - Vladislav I. Zhukovskiy
AU  - Konstantin N. Kudryavtsev
TI  - Pareto-equilibrium strategy profile
JO  - Matematičeskaâ teoriâ igr i eë priloženiâ
PY  - 2015
SP  - 74
EP  - 91
VL  - 7
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MGTA_2015_7_1_a4/
LA  - ru
ID  - MGTA_2015_7_1_a4
ER  - 
%0 Journal Article
%A Vladislav I. Zhukovskiy
%A Konstantin N. Kudryavtsev
%T Pareto-equilibrium strategy profile
%J Matematičeskaâ teoriâ igr i eë priloženiâ
%D 2015
%P 74-91
%V 7
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MGTA_2015_7_1_a4/
%G ru
%F MGTA_2015_7_1_a4
Vladislav I. Zhukovskiy; Konstantin N. Kudryavtsev. Pareto-equilibrium strategy profile. Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 7 (2015) no. 1, pp. 74-91. http://geodesic.mathdoc.fr/item/MGTA_2015_7_1_a4/