Cooperative grey games and the grey Shapley value

Date

2015-08-03

Author

PALANCI, Osman
PALANCI, Osman
Ergun, S.
Weber, Gerhard Wilhelm

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This contribution is located in the common area of operational research and economics, with a close relation and joint future potential with optimization: game theory. We focus on collaborative game theory under uncertainty. This study is on a new class of cooperative games where the set of players is finite and the coalition values are interval grey numbers. An interesting solution concept, the grey Shapley value, is introduced and characterized with the properties of additivity, efficiency, symmetry and dummy player, which are straightforward generalizations of the corresponding properties in the classical cooperative game theory. The paper ends with a conclusion and an outlook to future studies.

Subject Keywords

Shapley value, Uncertainty, Operations research, Interval grey numbers, Cooperative games, 91A12

URI

https://hdl.handle.net/11511/51305

Journal

OPTIMIZATION

DOI

https://doi.org/10.1080/02331934.2014.956743

Collections

Graduate School of Applied Mathematics, Article

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Citation Formats

O. PALANCI, O. PALANCI, S. Ergun, and G. W. Weber, “Cooperative grey games and the grey Shapley value,” OPTIMIZATION, pp. 1657–1668, 2015, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/51305.