Dividend decision-making algorithm among multi-firms of available and required capacity within constrained horizontal coalitions

In this paper, our extended algorithm is used to achieve an optimum horizontal coalition among multi-firms of available and required capacity space. And also it calculates the Shapley values for profit distribution of all participating firms in the coalition. In this coalition, only suppliers are players and form subgames to manage the capacity space to achieve optimum profit. We establish the relationship between the core and the Shapley values of these subgames along with their geometrical interpretation. The numerical illustration is also shown for a better understanding of our model.