Geodesic
Polytopes of special classes of balanced games with transferable utility
Diskretnyj analiz i issledovanie operacij, Tome 23 (2016) no. 1, pp. 97-112

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

The polytopes of $(0,1)$-normalized convex and $1$-convex (dual simplex) $n$-person TU-games, as well as monotonic big boss games are considered. The problems of characterization of extreme points of polytopes of $1$-convex games, symmetric convex games and big boss games, symmetric w.r.t. coalition of powerless agents, are solved. For other polytopes, the description of subsets of extreme points is given. Tab. 2, bibliogr. 15.
Keywords: TU-game, balancedness, $1$-convexity, convexity, big boss game. 
@article{DA_2016_23_1_a6,
     author = {A. B. Zinchenko},
     title = {Polytopes of special classes of balanced games with transferable utility},
     journal = {Diskretnyj analiz i issledovanie operacij},
     pages = {97--112},
     publisher = {mathdoc},
     volume = {23},
     number = {1},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DA_2016_23_1_a6/}
}
TY  - JOUR
AU  - A. B. Zinchenko
TI  - Polytopes of special classes of balanced games with transferable utility
JO  - Diskretnyj analiz i issledovanie operacij
PY  - 2016
SP  - 97
EP  - 112
VL  - 23
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DA_2016_23_1_a6/
LA  - ru
ID  - DA_2016_23_1_a6
ER  - 
%0 Journal Article
%A A. B. Zinchenko
%T Polytopes of special classes of balanced games with transferable utility
%J Diskretnyj analiz i issledovanie operacij
%D 2016
%P 97-112
%V 23
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DA_2016_23_1_a6/
%G ru
%F DA_2016_23_1_a6
A. B. Zinchenko. Polytopes of special classes of balanced games with transferable utility. Diskretnyj analiz i issledovanie operacij, Tome 23 (2016) no. 1, pp. 97-112. http://geodesic.mathdoc.fr/item/DA_2016_23_1_a6/