In order to deal with the complexity associated to the com-petition among several SCs, and also to keep looking at different objectives simultaneously, this work proposes the use of an Integrated Optimization Framework composed by a Multi-Objective Mixed Integer Linear Programming model(MO-MILP) embedded in an game theory optimization frame-work, enhancing the tactical decision making of a SC incompetitive/cooperative environments, where decisions are the production, inventory and distribution profiles of the