DEA production games and Owen allocations

• Published in: European journal of operational research Vol. 252; no. 3; pp. 921 - 930
• Main Authors: Borrero, D.V., Hinojosa, M.A., Mármol, A.M.
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier B.V 01.08.2016; Elsevier Sequoia S.A
• Subjects: Agency theory; Allocations; Cooperation; Data envelopment analysis; DEA production games; Game theory; Games; Linear production games; Linear programming; Links; Operational research; Production management; Studies; Linear production games; Game theory; DEA production games; Data envelopment analysis
• ISSN: 0377-2217; 1872-6860
• DOI: 10.1016/j.ejor.2016.01.053

•Collective production processes with technology inspired in DEA are analyzed.•Agents with different technologies cooperate under different levels of cooperation.•The links between DEA production games and linear programming games are studied.•The Owen set is proposed as a solution for allocating the revenue of cooperation.•The interpretation of the Owen set is provided for different levels of cooperation. DEA production games have recently been introduced in a paper by Lozano (2013). In the present paper we further investigate these cooperative games. We establish the links between the class of DEA production games and the classes of linear programming games and linear production games. We also analyse the Owen set of DEA production games and discuss the interpretation of these allocations for different levels of cooperation between agents.