Use the game theory approach and data envelopment analysis to calculate cost efficiency in two-stage networks

Performance evaluation in data envelopment analysis is obtained by using technical efficiency calculation. But what is not taken into account in this type of calculation is the price of model inputs. In calculating technical efficiency, the amount of output to the input is maximized, and the model can be used to identify efficient decision-making units, while it is possible to determine the decision-making unit that is at the efficiency limit and a reference for other units. Decision-making systems are efficient at a high cost, and it is possible to find decision-making units that are on the verge of efficiency at a lower production cost. Cost Efficiency seeks to find points that are on the edge of efficiency at the lowest cost. Given the importance of cost efficiency and the lack of attention to this concept in network and multi-stage structures, this study investigates cost efficiency in a purely two-stage process. In the present study, using the concept of game theory and data envelopment analysis in a centralized and decentralized state, we evaluate the performance of purely two-stage processes. In order to investigate the validity and efficiency of the models and their applicability, a case study has been used in the Iranian electricity industry and some management results are discussed.