Equal Surplus Sharing in Grey Inventory Games

Dönmez, Halil İbrahim; Olgun, Mehmet Onur; Alparslan Gök, Sırma Zeynep

doi:https://doi.org/10.17093/alphanumeric.1492875

Equal Surplus Sharing in Grey Inventory Games

Halil İbrahim Dönmez

Mehmet Onur Olgun

Sırma Zeynep Alparslan Gök

Abstract

This study introduces a model where inventory costs are represented as grey numbers, rather than traditional crisp or stochastic values. Utilizing grey calculus, game-theoretic solutions are reinterpreted to address interval uncertainty within cooperative grey inventory games. Grey equal distribution rules are established for fair cost allocation. The model parameters are determined to construct a grey inventory game, which is applied to three shotgun companies in Türkiye. The calculated grey inventory costs and different game-theoretic solutions are presented. This study extends solutions like the Banzhaf value, _CIS_-value, _ENSC_-value, and _ED_-solution by incorporating interval uncertainty.

Keywords: Cooperative game theory, Equal surplus sharing rules, Grey Numbers, Inventory Management

Jel Classification: C44, C70, C71

Suggested citation

Dönmez, H. İ., Olgun, M. O. & Alparslan Gök, S. Z. (2024). Equal Surplus Sharing in Grey Inventory Games. Alphanumeric Journal, 12(3), 215-226. https://doi.org/10.17093/alphanumeric.1492875

bibtex

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