Polytopes of special classes of the balanced transferable utility games
- Authors: Zinchenko A.B.1
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Affiliations:
- Southern Federal University
- Issue: Vol 10, No 1 (2016)
- Pages: 145-154
- Section: Article
- URL: https://journals.rcsi.science/1990-4789/article/view/212307
- DOI: https://doi.org/10.1134/S1990478916010166
- ID: 212307
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Abstract
Under study are the polytopes of (0, 1)-normalized convex and 1-convex (dual simplex) n-person TU-games and monotonic big boss games.We solve the characterization problems of the extreme points of the polytopes of 1-convex games, symmetric convex games, and big boss games symmetric with respect to the coalition of powerless agents. For the remaining polytopes, some subsets of extreme points are described.
Keywords
About the authors
A. B. Zinchenko
Southern Federal University
Author for correspondence.
Email: zinch46@mail.ru
Russian Federation, ul. Mil’chakova 8-a, Rostov-on-Don, 344090