The interval Shapley value: an axiomatization

Date

2010-06-01

Author

Gok, S. Z. Alparslan
Branzei, R.
Tijs, S.

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The Shapley value, one of the most widespread concepts in operations Research applications of cooperative game theory, was defined and axiomatically characterized in different game-theoretic models. Recently much research work has been done in order to extend OR models and methods, in particular cooperative game theory, for situations with interval data. This paper focuses on the Shapley value for cooperative games where the set of players is finite and the coalition values are compact intervals of real numbers. The interval Shapley value is characterized with the aid of the properties of additivity, efficiency, symmetry and dummy player, which are straightforward generalizations of the corresponding properties in the classical cooperative game theory.

Subject Keywords

Management Science and Operations Research

URI

https://hdl.handle.net/11511/66220

Journal

CENTRAL EUROPEAN JOURNAL OF OPERATIONS RESEARCH

DOI

https://doi.org/10.1007/s10100-009-0096-0

Collections

Graduate School of Applied Mathematics, Article

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Citation Formats

S. Z. A. Gok, R. Branzei, and S. Tijs, “The interval Shapley value: an axiomatization,” CENTRAL EUROPEAN JOURNAL OF OPERATIONS RESEARCH, pp. 131–140, 2010, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/66220.