科研之友
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摘要
We introduce mu-convexity, a new kind of game convexity defined on a sigma-algebra of a nonatomic finite measure space. We show that mu-convex games are mu-average monotone. Moreover, we show that mu-average monotone games are totally balanced and their core contains a nonatomic finite signed measure. We apply the results to the problem of partitioning a measurable space among a finite number of individuals. For this problem, we extend some results known for the case of individuals' preferences that are representable by nonatomic probability measures to the more general case of nonadditive representations.
- 出版日期2011-8
