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Polytopes of special classes of balanced games with transferable utility
A. B. Zinchenko
Southern Federal University, 8a Milchakov Ave., 344090 Rostov-on Don, Russia
Abstract:
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.
DOI:
https://doi.org/10.17377/daio.2016.23.487
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English version:
Journal of Applied and Industrial Mathematics, 2016, 10:1, 145–154
Bibliographic databases:
  
UDC:
519.865
Received: 22.04.2015
Revised: 16.10.2015
Citation:
A. B. Zinchenko, “Polytopes of special classes of balanced games with transferable utility”, Diskretn. Anal. Issled. Oper., 23:1 (2016), 97–112; J. Appl. Industr. Math., 10:1 (2016), 145–154
Citation in format AMSBIB
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\jour J. Appl. Industr. Math.
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\pages 145--154
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http://mi.mathnet.ru/eng/da841 http://mi.mathnet.ru/eng/da/v23/i1/p97
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