A DEA Game Cross-Efficiency Model with Loss Aversion for Contractor Selection

• Published in: Mathematics (Basel) Vol. 12; no. 10; p. 1519
• Main Authors: Huang, Huixia, Zhou, Chi, Deng, Hepu
• Format: Journal Article
• Language: English
• Published: Basel MDPI AG 01.05.2024
• Subjects: Attitudes; Construction industry; contractor selection; Contractors; cross efficiency; Efficiency; Fuzzy sets; Game theory; Hierarchies; loss aversion; Multiple criteria decision making; Preferences; Subjectivity; China
• ISSN: 2227-7390; 2227-7390
• DOI: 10.3390/math12101519

Evaluating and selecting appropriate contractors is critical to the success of specific construction projects in the building industry. Existing approaches for addressing this problem are unsatisfactory due to the ignorance of the multi-dimensional nature of the evaluation process and inappropriate consideration of existent risks. This study presents a DEA game cross-efficiency model with loss aversion for evaluating and selecting specific contractors. The competitiveness of the evaluation process is modeled using game theory with respect to the adoption of the cross-efficiency model. The attitude of the decision maker toward risks is tackled with the use of loss aversion, which is a phenomenon formalized in prospect theory. As a result, the proposed approach can adequately screen available contractors through prequalification and adequately consider the attitude of the decision maker toward risks, leading to effective decisions being made. An example is presented to demonstrate the applicability of the proposed model in evaluating and selecting appropriate contractors for specific construction projects. The results show that the proposed model is effective and efficient in producing a unique solution for contractor selection through appropriate modeling of the multi-dimensional contractor selection process and adequate consideration of the competition between the contractors and the attitude of the decision maker toward risks in practical situations.