The Bondareva-Shapley theorem:The core of the game is non-empty if and only if the game is balanced (Bondareva 1963, Shapley 1967).
Bondareva-Shapley定理：只有而且仅有当博弈是平衡的时候，中心才非空。
2
This particular planetary nebula, pictured above and designated Shapley 1 after the famous astronomer Harlow Shapley, has a very apparent annular ring like structure.
Finally, it USES Shapley value method to explore the optimum ratio of the energy saving benefits distribution in cooperative game and puts forward corresponding Suggestions.