A resource allocation mechanism based on novel cross-efficiency
In this paper,we combine data envelopment analysis(DEA)with cooperative game theory to create a fair resource allocation mechanism in alliances.We introduce a novel cross-efficiency measure that considers both internal and external effects within alliances.Weight assignments are used to reflect the importance of internal and external DMUs.We establish a cooperative game characteristic function based on this cross-efficiency,show the super-additivity of the characteristic function and prove the core non-emptiness of the cooperative game.Finally,we design a resource allocation mechanism using the Shapley value based on the characteristic function and demonstrate its practical application through a numerical example and an empirical analysis.
novel cross-efficiencyinternal and external effects within alliancesparticipant weightsShapley valuesresource allocation
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