b Abbasi - School of Mathematical and Geospatial Sciences, RMIT University, Melbourne, Australia
s.t.a niaki - Professor of Industrial Engineering, Sharif University of Technology, P.O. Box ۱۱۱۵۵-۹۴۱۴, Azadi Ave., Tehran, ۱۴۵۸۸۸۹۶۹۴ Iran
s.z Hosseinifard - School of Mathematical and Geospatial Sciences, RMIT University, Melbourne, Australia

This paper provides a closed-form optimal solution to the multi-objective model of the fair allocation of the gains obtained by cooperation among all players. The optimality of the proposed solution is firstproved. Then, the properties of the proposed solution are investigated. At the end, a numerical example in inventory control environment is given to demonstrate its application and to compare obtained results with the ones of an existing method

Cooperative N-person Games,Game Theory,Shapely Value,Characteristic Function