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

Authors

  • Alexandra B. Zinchenko Southern Federal University

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

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Published

2023-01-25

How to Cite

Zinchenko, A. B. (2023). On Polytope of (0-1)-normal Big Boss Games: Redundancy and Extreme Points. Contributions to Game Theory and Management, 5, 386–397. Retrieved from https://gametheory.spbu.ru/article/view/14950

Issue

Vol. 5 (2012)

Section

Articles

License

Articles of "Contributions to Game Theory and Management" are open access distributed under the terms of the License Agreement with Saint Petersburg State University, which permits to the authors unrestricted distribution and self-archiving free of charge.