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Game Theoretic Approaches to Weight Assignments in Data Envelopment Analysis Problems

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  • Satoru Sekine
  • Jing Fu
  • Shigeo Muto

Abstract

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.

Suggested Citation

  • Satoru Sekine & Jing Fu & Shigeo Muto, 2014. "Game Theoretic Approaches to Weight Assignments in Data Envelopment Analysis Problems," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-9, April.
    • Handle: RePEc:hin:jnlmpe:434252
    DOI: 10.1155/2014/434252
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    Cited by:

    1. Reza Fallahnejad & Mohammad Reza Mozaffari & Peter Fernandes Wanke & Yong Tan, 2024. "Nash Bargaining Game Enhanced Global Malmquist Productivity Index for Cross-Productivity Index," Games, MDPI, vol. 15(1), pages 1-21, January.
    2. Pendharkar, Parag C., 2021. "Allocating fixed costs using multi-coalition epsilon equilibrium," International Journal of Production Economics, Elsevier, vol. 239(C).

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