Balanced capacities
DOI:
https://doi.org/10.12775/TMNA.2023.014Keywords
Balanced capacity, core of a cooperative game, fuzzy integralAbstract
We consider capacity (fuzzy measure, non-additive probability) on a compactum as a monotone cooperative normed game. Then it is natural to consider probability measures as elements of core of such game. We prove a topological version of the Bondareva-Shapley theorem that non-emptiness of the core is equivalent to balancedness of the capacity. We investigate categorical properties of balanced capacities and give characterizations of some fuzzy integrals of balanced capacities.References
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