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The core of large differentiable TU games. (English) Zbl 1005.91014
The authors show that for non-atomic TU games under certain conditions, the core can be determined by computing appropriate derivatives of the characteristic function \(v\). The computations yield either the core of \(v\) is empty or it consists of a single measure. If the latter case happens, the core measure can be expressed explicitly in terms of the derivatives of \(v\). Then the core theory for a class of non-atomic TU games may be reduced to calculus.

MSC:
91A12 Cooperative games
91A13 Games with infinitely many players (MSC2010)
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