Weighted average-convexity and Shapley values
将凸性和平均凸性推广到加权平均凸性，证明若博弈是加权平均凸的，则对应的加权Shapley值在核心中。
We generalize the notion of convexity and average-convexity to the notion of weighted average-convexity. We show several results on the relation between weighted average-convexity and cooperative games. Our main result is that if a game is weighted average-convex, then the corresponding weighted Shapley value is in the core.