Journal ArticleDOI
Egoist's dilemma: a DEA game
Ken Nakabayashi,Kaoru Tone +1 more
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In this article, the authors deal with problems of consensus-making among individuals or organizations with multiple criteria for evaluating their performance when the players are supposed to be egoistic; in the sense that each player sticks to his superiority regarding the criteria.Abstract:
This paper deals with problems of consensus-making among individuals or organizations with multiple criteria for evaluating their performance when the players are supposed to be egoistic; in the sense that each player sticks to his superiority regarding the criteria. We analyze this situation within the framework or concept developed in data envelopment analysis (DEA). This leads to a dilemma called the `egoist's dilemma'. We examine this dilemma using cooperative game theory and propose a solution. The scheme developed in this paper can also be applied to attaining fair cost allocations as well as benefit–cost distributions.read more
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Determination of the weights for the ultimate cross efficiency using Shapley value in cooperative game
Jie Wu,Liang Liang,Feng Yang +2 more
TL;DR: This paper firstly revisits the cross efficiency evaluation method, then analyzes the potential flaws which happens when the ultimate average cross efficiency scores are used, and considers the DMUs as the players in a cooperative game.
Journal ArticleDOI
Extended secondary goal models for weights selection in DEA cross-efficiency evaluation
TL;DR: This work first incorporates a target identification model to get reachable targets for all DMUs, then several secondary goal models are proposed for weights selection considering both desirable and undesirable cross-efficiency targets of all the DMUs.
Journal ArticleDOI
Allocating a fixed cost based on a DEA-game cross efficiency approach
TL;DR: This paper integrates cooperative game theory and the cross efficiency method to develop a DEA-game cross efficiency approach to generate a unique and fair allocation plan for fixed cost allocation in large organizations.
Journal ArticleDOI
An Integrated Fuzzy Clustering Cooperative Game Data Envelopment Analysis Model with application in Hospital Efficiency
TL;DR: An integrated fuzzy clustering cooperative game DEA approach to rank efficient hospitals within each cluster using combined DEA model and cooperative game approach and the results show that the Core and Shapley values are suitable for fully ranking of efficient hospitals in the healthcare systems.
Journal ArticleDOI
Technology heterogeneity and efficiency of China’s circular economic systems: A game meta-frontier DEA approach
Jiasen Sun,Guo Li,Zhaohua Wang +2 more
TL;DR: In this paper, a comprehensive model using game theory and a data envelopment analysis (DEA) method was proposed to improve resource utilization and reduce pollutant emissions in the circular economic system.
References
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Journal ArticleDOI
Measuring the efficiency of decision making units
TL;DR: A nonlinear (nonconvex) programming model provides a new definition of efficiency for use in evaluating activities of not-for-profit entities participating in public programs and methods for objectively determining weights by reference to the observational data for the multiple outputs and multiple inputs that characterize such programs.
Book
Data Envelopment Analysis: A Comprehensive Text with Models, Applications, References and DEA-Solver Software
TL;DR: In this article, the basic CCR model and DEA models with restricted multipliers are discussed. But they do not consider the effect of non-discretionary and categorical variables.
Journal ArticleDOI
On balanced sets and cores
TL;DR: In this paper, the authors established a direct correspondence between the balanced sets of coalitions of a multi-person game and the conditions that determine whether the game has a core, and showed that such a correspondence can be found for any game.
Journal ArticleDOI
The kernel of a cooperative game
Morton Davis,Michael Maschler +1 more
TL;DR: In this article, the authors defined the kernel of a cooperative n-person game and applied it to the 3-person games, to the 4-person constant-sum games and to games in which only the n and the (n-1)-person coalitions are allowed to be non-flat.