The paper studies a cooperative game, which is being played among the firms, involved in furniture industries, belonging to the same cluster. Due to the increased competition at the local and global levels, cooperation among the business entities is practically the only way to survive in the cluster. Consequently, a cooperative game model is proposed for the firms, associated in a vertical channel, where its performance indices are measured by one of its indicators of competitiveness at an entrepreneurial level versus the value of the cluster itself. As a case study, a competitive value analysis is done for the Colombian furniture cluster by indicating the characteristics and existing conditions of the cluster in the department of Atlantico in Colombia. Moreover, this paper analyzes and establishes an optimal feasible solution of cooperative game among the principal firms using Shapley value method.