Cooperative grey games and the grey Shapley value

PALANCI O., PALANCI O., Ergun S., Weber G. -.

OPTIMIZATION, vol.64, no.8, pp.1657-1668, 2015 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 64 Issue: 8
  • Publication Date: 2015
  • Doi Number: 10.1080/02331934.2014.956743
  • Journal Name: OPTIMIZATION
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1657-1668
  • Keywords: Shapley value, uncertainty, operations research, interval grey numbers, cooperative games, 91A12, OPTIMIZATION, UNCERTAINTY, REGRESSION, STABILITY, NETWORKS, CMARS
  • Middle East Technical University Affiliated: Yes


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.