Geodesic
Quantum logics, games, and equilibriums
Teoretičeskaâ i matematičeskaâ fizika, Tome 169 (2011) no. 2, pp. 259-271

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

We establish a natural relation between antagonistic matrix games and ortholattices (quantum logics). We show that an equilibrium in the corresponding quantum game determines the operator representation of a quantum logic. We formulate a condition for quantum equilibrium.
Keywords: quantum logic, lattice, quantum game, Nash equilibrium. 
@article{TMF_2011_169_2_a7,
     author = {A. A. Grib and G. N. Parfionov},
     title = {Quantum logics, games, and equilibriums},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {259--271},
     publisher = {mathdoc},
     volume = {169},
     number = {2},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2011_169_2_a7/}
}
TY  - JOUR
AU  - A. A. Grib
AU  - G. N. Parfionov
TI  - Quantum logics, games, and equilibriums
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2011
SP  - 259
EP  - 271
VL  - 169
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_2011_169_2_a7/
LA  - ru
ID  - TMF_2011_169_2_a7
ER  - 
%0 Journal Article
%A A. A. Grib
%A G. N. Parfionov
%T Quantum logics, games, and equilibriums
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2011
%P 259-271
%V 169
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_2011_169_2_a7/
%G ru
%F TMF_2011_169_2_a7
A. A. Grib; G. N. Parfionov. Quantum logics, games, and equilibriums. Teoretičeskaâ i matematičeskaâ fizika, Tome 169 (2011) no. 2, pp. 259-271. http://geodesic.mathdoc.fr/item/TMF_2011_169_2_a7/