Volume 23, No 1, 2016, P. 97-112
A. B. Zinchenko
Polytopes of special classes of balanced games with transferable utility
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.
Alexandra B. Zinchenko 1
1. Southern Federal University,
8a Milchakov Ave., 344090 Rostov-on Don, Russia
Received 22 April 2015
Revised 16 October 2015
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