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.
Bibliographical noteFor this research, the second author (Mingming Leng) was supported by the General Research Fund of the Hong Kong Research Grants Council under Research Project No. LU340409, and the third author (Yulan Wang) was supported by the Hong Kong Polytechnic University under Project No. 1-ZV7K.
- Call center pooling
- Square-root safety staffing rule
- Cooperative game
- Shapley value