Cooperative Grey Game: Grey Solutions and an Optimization Algorithm

In this paper, some set-valued solutions using grey payoffs, namely, the grey core, the grey dominance core, and the grey stable sets of cooperative grey games are introduced and studied. The findings of the study demonstrated the relations between the grey core, the grey dominance core, and stable sets of grey cooperative games. Moreover, we present a linear programming (LP) problem for the grey core. We also suggest a corresponding optimization-based algorithm that demonstrates the grey core element of a cooperative grey game. Finally, we introduce an application of how cooperative grey game theory can be used to model users’ behaviors in various multimedia social networks. The paper ends with a conclusion and an outlook for future investigations.