An Axiomatization of the Interval Shapley Value and on Some Interval Solution Concepts

Authors

  • Osman Palanci S\"{u}leyman Demirel University
  • S. Zeynep Alparslan Gök Süleyman Demirel University
  • Gerhard-Wilhelm Weber Middle East Technical University

Abstract

The Shapley value, one of the most common solution concepts in Operations Research applications of cooperative game theory, is defined and axiomatically characterized in different game-theoretical models. In this paper, we focus on the Shapley value for cooperative games where the set of players is finite and the coalition values are compact intervals of real numbers. In this study, we study the properties of the interval Shapley value on the class of size monotonic interval games, and axiomatically characterize its restriction to a special subclass of cooperative interval games by using fairness property, efficiency and the null player property. Further, we introduce the interval Banzhaf value and the interval egalitarian rule. Finally, the paper ends with a conclusion and an outlook to future studies.

Keywords:

Shapley value, Banzhaf value, egalitarian rule, interval uncertainty, fairness property

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References

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Published

2022-05-24

How to Cite

Palanci, O., Gök, S. Z. A., & Weber, G.-W. (2022). An Axiomatization of the Interval Shapley Value and on Some Interval Solution Concepts. Contributions to Game Theory and Management, 8. Retrieved from https://gametheory.spbu.ru/article/view/13462

Issue

Vol. 8 (2015)

Section

Articles

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Articles of "Contributions to Game Theory and Management" are open access distributed under the terms of the License Agreement with Saint Petersburg State University, which permits to the authors unrestricted distribution and self-archiving free of charge.

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