Alexandra B. Zinchenko, “On Polytope of (0-1)-normal Big Boss Games: Redundancy and Extreme Points”, Contributions to Game Theory and Management, 5 (2012), 386

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Contributions to Game Theory and Management, 2012, Volume 5, Pages 386–397 (Mi cgtm172)

On Polytope of (0-1)-normal Big Boss Games: Redundancy and Extreme Points

Alexandra B. Zinchenko

Southern Federal University, Faculty of Mathematics, Mechanics and Computer Science, Milchakova, 8a, Rostoov-on Don, 344090, Russia

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Abstract: The system of non redundant constraints for polytope of monotonic (0-1)-normal big boss games is obtained. The explicit representation of some types of extreme points of this polytope as well as the corresponding Shapley and consensus values formulas are given. We provide the characterization of extreme elements of set of such monotonic (0-1)-normal big boss games that all weak players are symmetric.

Keywords: cooperative game, big boss game, (0-1)-normal form, extreme points, Shapley value, consensus value.

Document Type: Article

Language: English

Citation: Alexandra B. Zinchenko, “On Polytope of (0-1)-normal Big Boss Games: Redundancy and Extreme Points”, Contributions to Game Theory and Management, 5 (2012), 386–397

Citation in format AMSBIB

\Bibitem{Zin12}

\by Alexandra~B.~Zinchenko

\paper On Polytope of (0-1)-normal Big Boss Games: Redundancy and Extreme Points

\jour Contributions to Game Theory and Management

\yr 2012

\vol 5

\pages 386--397

\mathnet{http://mi.mathnet.ru/cgtm172}

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https://www.mathnet.ru/eng/cgtm/v5/p386

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