Abstract: With limited cognition, the group of players can only estimate the range of their payoffs instead of the specific values. Then we propose the asymmetric grey evolutionary game. Via the analysis of the equilibrium of this game, the single grey belt and crossed grey belt are found. Meanwhile, besides Nash equilibrium, we find a new equilibrium. When the group of players are in the crossed grey belt, they can’t obtain more profits no matter how they change the original strategies. Because their grey expected profits are always equal to the grey average expected profits. This is a short-term equilibrium due to limited cognition. Finally, we illustrate the asymmetric grey evolutionary game to analyze the effect of psychological contract breaches on employee turnover intention.  

Key words: Limited Cognitive, Asymmetric Grey Evolutionary Game, Single Grey Belt, Crossed Grey Belt