Artikel

Modification of shapley value and its implementation in decision making

The article presents a solution of a problem that is critical from a practical point of view: how to share a higher than usual discount of $10 million among 5 importers. The discount is a result of forming a coalition by 5 current, formerly competing, importers. The use of Shapley value as a concept for co-operative games yielded a solution that was satisfactory for 4 lesser importers and not satisfactory for the biggest importer. Appropriate modification of Shapley value presented in this article allowed to identify appropriate distribution of the saved purchase amount, which according to each player accurately reflects their actual strength and position on the importer market. A computer program was used in order to make appropriate calculations for 325 permutations of all possible coalitions. In the last chapter of this paper, we recognize the lasting contributions of Lloyd Shapley to the cooperative game theory, commemorating his recent (March 12, 2016) descent from this world.

Language
Englisch

Bibliographic citation
Journal: Foundations of Management ; ISSN: 2300-5661 ; Volume: 9 ; Year: 2017 ; Issue: 1 ; Pages: 257-222 ; Warsaw: De Gruyter

Classification
Management
Subject
characteristic function
coalition
cooperative game
core of game
imputation
Shapley value

Event
Geistige Schöpfung
(who)
Zaremba, Leszek
Zaremba, Cezary S.
Suchenek, Marek
Event
Veröffentlichung
(who)
De Gruyter
(where)
Warsaw
(when)
2017

DOI
doi:10.1515/fman-2017-0020
Handle
Last update
10.03.2025, 11:44 AM CET

Data provider

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Object type

  • Artikel

Associated

  • Zaremba, Leszek
  • Zaremba, Cezary S.
  • Suchenek, Marek
  • De Gruyter

Time of origin

  • 2017

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