A reply to Ponte et al (2016) Supply chain collaboration: Some comments on the nucleolus of the beer game
Purpose: The aim of the paper is to pick up the result of a previously published paper in order to deepen the discussion. We analyze the solution against the background of some well-known concepts and we introduce a newer one. In doing so we would like to inspire the further discussion of supply cha...
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| Format: | Article |
| Language: | English |
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OmniaScience
2018-06-01
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| Series: | Journal of Industrial Engineering and Management |
| Subjects: | |
| Online Access: | http://www.jiem.org/index.php/jiem/article/view/2430 |
| _version_ | 1818922921142255616 |
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| author | David Mueller |
| author_facet | David Mueller |
| author_sort | David Mueller |
| collection | DOAJ |
| description | Purpose: The aim of the paper is to pick up the result of a previously published paper in order to deepen the discussion. We analyze the solution against the background of some well-known concepts and we introduce a newer one. In doing so we would like to inspire the further discussion of supply chain collaboration
Design/methodology/approach: Based on game theoretical knowledge we present and compare seven properties of fair profit sharing.
Findings: We show that the nucleolus is a core-solution, which does not fulfil aggregate monotonicity. In contrast the Shapley value is an aggregate monotonic solution but does not belong to the core of every cooperative game. Moreover, we present the Lorenz dominance as an additional fairness criteria.
Originality/value: We discuss the very involved procedure of establishing lexicographic orders of excess vectors for games with many players. |
| first_indexed | 2024-12-20T02:01:13Z |
| format | Article |
| id | doaj.art-57f08d03944c4faa8bc6a6778aa265fe |
| institution | Directory Open Access Journal |
| issn | 2013-8423 2013-0953 |
| language | English |
| last_indexed | 2024-12-20T02:01:13Z |
| publishDate | 2018-06-01 |
| publisher | OmniaScience |
| record_format | Article |
| series | Journal of Industrial Engineering and Management |
| spelling | doaj.art-57f08d03944c4faa8bc6a6778aa265fe2022-12-21T19:57:18ZengOmniaScienceJournal of Industrial Engineering and Management2013-84232013-09532018-06-0111352853410.3926/jiem.2430537A reply to Ponte et al (2016) Supply chain collaboration: Some comments on the nucleolus of the beer gameDavid Mueller0Brandenburg University of Technology Cottbus-SenftenbergPurpose: The aim of the paper is to pick up the result of a previously published paper in order to deepen the discussion. We analyze the solution against the background of some well-known concepts and we introduce a newer one. In doing so we would like to inspire the further discussion of supply chain collaboration Design/methodology/approach: Based on game theoretical knowledge we present and compare seven properties of fair profit sharing. Findings: We show that the nucleolus is a core-solution, which does not fulfil aggregate monotonicity. In contrast the Shapley value is an aggregate monotonic solution but does not belong to the core of every cooperative game. Moreover, we present the Lorenz dominance as an additional fairness criteria. Originality/value: We discuss the very involved procedure of establishing lexicographic orders of excess vectors for games with many players.http://www.jiem.org/index.php/jiem/article/view/2430beer game, cooperative game theory, profit allocation, nucleolus |
| spellingShingle | David Mueller A reply to Ponte et al (2016) Supply chain collaboration: Some comments on the nucleolus of the beer game Journal of Industrial Engineering and Management beer game, cooperative game theory, profit allocation, nucleolus |
| title | A reply to Ponte et al (2016) Supply chain collaboration: Some comments on the nucleolus of the beer game |
| title_full | A reply to Ponte et al (2016) Supply chain collaboration: Some comments on the nucleolus of the beer game |
| title_fullStr | A reply to Ponte et al (2016) Supply chain collaboration: Some comments on the nucleolus of the beer game |
| title_full_unstemmed | A reply to Ponte et al (2016) Supply chain collaboration: Some comments on the nucleolus of the beer game |
| title_short | A reply to Ponte et al (2016) Supply chain collaboration: Some comments on the nucleolus of the beer game |
| title_sort | reply to ponte et al 2016 supply chain collaboration some comments on the nucleolus of the beer game |
| topic | beer game, cooperative game theory, profit allocation, nucleolus |
| url | http://www.jiem.org/index.php/jiem/article/view/2430 |
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