 Resource sharing and payoff allocation in a three-stage system: Integrating network DEA with the Shapley value methodQingxian An, Yao Wen, Tao Ding and Yongli Li Omega, 2019, vol. 85, issue C, 16-25 Abstract: Resource sharing exists not only among multiple entities but also among various stages of a single network structure system. Previous studies focused on how to allocate total given sharable resources to stages to maximize the efficiency of the network structure system, and a few discussed the fair allocation of potential gains obtained from resource sharing. In this study, we explore a new case in which the common inputs (or shared resources) of all stages are known. By constructing a game that regards each stage as a player, we integrate cooperative game theory with network data envelopment analysis (DEA) to explore the payoff allocation problem in a three-stage system. We build network DEA models to calculate the optimal profits of the system before and after resource sharing (i.e., pre- and post-collaboration optimal profits), and then apply the Shapley value method to allocate the increased profits of the system to its stages. Results indicate that the game among stages in a three-stage system is superadditive. A numerical example is provided to illustrate our method. Keywords: Data envelopment analysis; Three-stage system; Resource sharing; Payoff allocation; Shapley value (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:jomega:v:85:y:2019:i:c:p:16-25 Ordering information: This journal article can be ordered from DOI: 10.1016/j.omega.2018.05.008 Access Statistics for this article Omega is currently edited by B. Lev More articles in Omega from Elsevier |
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