Game Theoretic Approaches to Weight Assignments in Data Envelopment Analysis Problems | Zendy

Satoru Sekine | Zendy; Jing Fu | Zendy; Shigeo Muto | Zendy

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Game Theoretic Approaches to Weight Assignments in Data Envelopment Analysis Problems

Author(s) -

Satoru Sekine,

Jing Fu,

Shigeo Muto

Publication year - 2014

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2014/434252

Subject(s) - data envelopment analysis , game theory , scheme (mathematics) , operations research , power (physics) , computer science , cooperative game theory , mathematical optimization , mathematical economics , economics , mathematics , mathematical analysis , physics , quantum mechanics

This paper deals with the problem of fairly allocating a certain amount of divisible goods or burdens among individuals or organizations in the multicriteria environment. It is analyzed within the framework of data envelopment analysis (DEA). We improve the game proposed by Nakabayashi and Tone (2006) and develop an alternative scheme by reassigning the total weight or power for the coalition members. The solutions and equilibria of the new DEA game proposed in this paper are also studied

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