For many years, researchers in both economics and policymaking have used various practices to achieve Nash Equilibrium values in Game Theory applications. Our approach is innovative in that we have combined the Multi-Agent Method with these concepts and designed a cooperative strategy for the multi-agent model constructed on the lines of ordinal utility used in economics. It is not designed for finding specific values, but instead is intended to discover the best strategic choices that will be acceptable to all parties participating in the game. The participants can input their strategies into the system from their network to handle conflict coordination problems. We also designed a corresponding method of finding solutions when other agents of conflict resolution fail. The agent mechanism not only enhances effectiveness in finding equilibrium solutions, but it also resolves the dilemmas formed when the cycle cannot be solved by playing strategic games. The present system dramatically shortens the time required for finding solutions within the game, enhances the effectiveness of devising cooperative strategies and offers as output the maximum strategic combination of payoffs obtainable by both companies.