A fair staff allocation rule for the capacity pooling of multiple call centers

摘要

We construct a cooperative staffing game to investigate how to fairly allocate a reduced number of staff among multiple call centers that pool (centralize) their capacities. We show that this game is essential and submodular, and, thereby, convex with a non-empty core. We also propose a neat Shapley value-characterized staff-allocation rule, which exists in the core of the game.