Geodesic
Covariant and contrvariant homomorphisms of games with preference relations
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 9 (2009) no. 3, pp. 66-70.

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

We consider Nash equilibrium and some its modifications as principles of optimality for games with preference relations. For description of the optimal solutions of gameswith preference relations covariantly and contrvariantly complete families of homomorphisms are introduced. 
@article{ISU_2009_9_3_a11,
     author = {T. F. Savina},
     title = {Covariant and contrvariant homomorphisms of games with preference relations},
     journal = {Izvestiya of Saratov University. Mathematics. Mechanics. Informatics},
     pages = {66--70},
     publisher = {mathdoc},
     volume = {9},
     number = {3},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ISU_2009_9_3_a11/}
}
TY  - JOUR
AU  - T. F. Savina
TI  - Covariant and contrvariant homomorphisms of games with preference relations
JO  - Izvestiya of Saratov University. Mathematics. Mechanics. Informatics
PY  - 2009
SP  - 66
EP  - 70
VL  - 9
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ISU_2009_9_3_a11/
LA  - ru
ID  - ISU_2009_9_3_a11
ER  - 
%0 Journal Article
%A T. F. Savina
%T Covariant and contrvariant homomorphisms of games with preference relations
%J Izvestiya of Saratov University. Mathematics. Mechanics. Informatics
%D 2009
%P 66-70
%V 9
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ISU_2009_9_3_a11/
%G ru
%F ISU_2009_9_3_a11
T. F. Savina. Covariant and contrvariant homomorphisms of games with preference relations. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 9 (2009) no. 3, pp. 66-70. http://geodesic.mathdoc.fr/item/ISU_2009_9_3_a11/

[1] Savina T. F., “Situatsii ravnovesiya v igrakh s otnosheniyami predpochteniya”, Sovremennye problemy differentsialnoi geometrii i obschei algebry, Tez. dokl. Mezhdunar. nauch. konf., posvyasch. 100-letiyu prof. V. V. Vagnera, Izd-vo Sarat. un-ta, Saratov, 2008, 131–132

[2] Bogomolov A. M., Salii V. N., Algebraicheskie osnovy teorii diskretnykh sistem, Nauka, Fizmatlit, M., 1997, 368 pp. | MR | Zbl

[3] Vagner V. V., “Teoriya otnoshenii i algebra chastichnykh otobrazhenii”, Teoriya polugrupp i ee prilozheniya: Sb. statei, 1, Izd-vo Sarat. un-ta, Saratov, 1965, 3–178 | MR

[4] Rozen V. V., “Nakhozhdenie optimalnykh reshenii metodom postroeniya kovariantno polnykh semeistv kontravariantnykh gomomorfizmov”, Fundamentalnye problemy matematiki i mekhaniki. Matematika, Izd-vo Mosk. un-ta, M., 1994, 349–350