Equal Surplus Sharing in Grey Inventory Games

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

Alphanumeric Journal, 2024, vol. 12, issue 3, 215-226

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 (search for similar items in EconPapers)
JEL-codes: C44 C70 C71 (search for similar items in EconPapers)
Date: 2024
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.alphanumericjournal.com/media/Issue/vo ... -inventory-games.pdf (application/pdf)
https://alphanumericjournal.com/article/equal-surp ... grey-inventory-games (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:anm:alpnmr:v:12:y:2024:i:3:p:215-226

DOI: 10.17093/alphanumeric.1492875

Access Statistics for this article

More articles in Alphanumeric Journal from Bahadir Fatih Yildirim
Bibliographic data for series maintained by Bahadir Fatih Yildirim ().