Dongshuan Hou — The Shapley Value and Nucleolus of Service Cost Savings Games
|Time:||Wednesday, March 27, 2013|
|Location:||Room 311, Citadel|
The main goal of this paper is to introduce the so-called Service cost savings games involving n different service providers and customers needing service. For these specific cooperative games, on one hand, we determine the Shapley value allocation for these service cost savings games through a decomposition method for games into one additive game and one Sharing car pooling cost game, exploiting the linearity of the Shapley value. On the other hand, we determine the nucleolus allocation as well, by exploiting fully the so-called 1-convexity property for these Service cost savings games.