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On big boss grey games

2024; American Institute of Mathematical Sciences; Volume: 11; Issue: 4 Linguagem: Inglês

10.3934/jdg.2024007

2164-6074

İsmail Özcan, Sırma Zeynep Alparslan Gök,

Computability, Logic, AI Algorithms

In this paper, a cooperative grey game that may be used to simulate market scenarios with two corners and participants that experience grey uncertainty about the outcome of collaboration is introduced and studied. A strong player known as the big boss is in one corner, while players in the other corner depend on the big boss's support to survive. This paper introduces and studies a class of cooperative grey games suitable to model market situations with two corners where players face grey uncertainty regarding the outcome of cooperation. We discuss how the model of cooperative grey games extends the cooperative game theory literature, and studies its existing and potential applications in two corner market situations with grey data.